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Research ArticleStudy on Horizontally Polarized OmnidirectionalMicrostrip Antenna
Kun Wei Jian-ying Li Ling Wang Zi-jian Xing and Rui Xu
School of Electronics and Information Northwestern Polytechnical University Xirsquoan 710072 China
Correspondence should be addressed to Kun Wei weikun916163com
Received 27 October 2015 Revised 11 December 2015 Accepted 17 December 2015
Academic Editor Giuseppe Mazzarella
Copyright copy 2016 Kun Wei et alThis is an open access article distributed under the Creative Commons Attribution License whichpermits unrestricted use distribution and reproduction in any medium provided the original work is properly cited
A horizontally polarized omnidirectional microstrip antenna is proposed in this paper The structure of designed antenna iswith two back-to-back horizontally polarized microstrip antenna elements Gain variation on main radiation plane of this newantenna is analyzed and radiation theory is deduced formula of directivity onmain radiation plane is given Better omnidirectionalcharacteristic of this antenna can be obtained by decreasing patch physical length Both simulated and measured results verify theomnidirectional radiation patterns and input impedance characteristics Good omnidirectional radiation patterns (gain variationin 119864-plane less than plusmn04 dBi) and input impedance characteristics are obtained moreover cross polarization less than minus20 dBi isachieved
1 Introduction
Omnidirectional antenna has been widely used in mobilecommunication indoor radio and wireless LAN systemsbecause of their better performance in multiple paths envi-ronment It is well known that an omnidirectional antennacan be easily realized by a vertical dipole [1ndash4] Howeververtical dipole works in vertical polarization mode ratherthan horizontal polarization mode
Microstrip antennas are also designed with omnidirec-tional radiation pattern Microstrip antenna array mountedon a circular cylinder is presented in [5] it needs morethan eleven patches to achieve good omnidirectional patternThe drawbacks of those cylindrical conformal microstripantennas are difficult to fabricate and they need more thanthree patches to obtain omnidirectional radiation patternBack-to-back omnidirectional microstrip antennas in [6ndash9] are with omnidirectional radiation patterns howeverthose antennas are either vertically polarized or circularlypolarized none of the antennas in [5ndash9] are working inhorizontal polarization mode
Horizontally polarized (HP) omnidirectional antennascan be realized by printed antenna and slot antenna In [10]
there are four notches cut out from the bottom conductorlayer and fourmicrostrip lines feed them respectively on theupper layer to obtain HP omnidirectional radiation patternA horizontally polarized omnidirectional planar antenna in[11] is developed for mobile communications the proposedantenna consists of four printed arc dipoles that form a circu-lar loop forHP omnidirectional radiation but antenna size in[10 11] is bigger than that of antenna proposed in this paperIn [12] a HP omnidirectional planar printed antenna forWLAN applications is presented The printed Alford-loop-structure antenna consists of two Z-shaped strips printed onthe top and bottom plane of the FR-4 printed-circuit-boardsubstrate but average antenna gain (horizontal-polarizationfield) is only minus53 dBi
Slot antenna or array may also obtain omnidirectionalradiation pattern [13ndash15] A three-element CPW-fed leakywave folded slot antenna array is presented in [13] By usingthe columnar structure the gain variation in the azimuthalplane is less than 11 dB A planar slot array antenna withomnidirectional radiation pattern in the horizontal plane isproposed in [14] the antenna with eight back-to-back slots isdesigned by employing the genetic algorithm implementedon a cluster system to achieve omnidirectional radiation
Hindawi Publishing CorporationInternational Journal of Antennas and PropagationVolume 2016 Article ID 8214153 8 pageshttpdxdoiorg10115520168214153
2 International Journal of Antennas and Propagation
characteristics Drawbacks of slot antennas or arrays obtainedhorizontally polarized omnidirectional radiation pattern arelarge in size heavy in weight and difficult to fabricate
A horizontally polarized omnidirectional microstripantenna is described in [16] the antenna consists of threemain components a probe-fed main patch and two parasiticpatches placed conformally on a cylindrical structure Theantenna structure is designed in the form of a belt forhorizontally polarized applications But the minus10 dB antennabandwidth is about 146 and the antenna is hard to fabricate
A new horizontally polarized omnidirectional microstripantenna is proposed in this paper The designed antennawhich has a pair of patches is with back-to-back structureThe patches are symmetrically placed along vertical planeso fields from the two patches of the designed antenna areinterfered constructively (add) in the horizontal directionand interfered destructively (cancel each other) in verticaldirection Due to that omnidirectional radiation pattern isachieved Adding that patches are horizontally polarized sodesigned antenna is with horizontally polarized omnidirec-tional radiation pattern Wilkinson power divider is used forfeeding the patches because it is with the useful property ofappearing lossless when the output ports are matched Thischaracteristic provides good impedance matching and goodefficiency performances of designed antenna in this paper
The radiation theory of the back-to-back structure isstudied Software Ansoft HFSS is applied to design andsimulate the antenna for the purpose of optimizing theomnidirectional characteristic drawing the best technicalparameters The new proposed antenna is fabricated andmeasured Measured results are shown to make the compar-ison with the simulated ones The proposed HP omnidirec-tionalmicrostrip antenna enjoys the following advantages (1)it has a small and compact size (2) it is easy to fabricate (3)the radiation pattern and input impedance characteristic aresatisfactory (4) the cross polarization level is low
2 Antenna Design
The geometry of designed antenna is shown in Figure 1(a)Outline size of the antenna is as follows length 119887 = 32mmwidth 119886 = 10mm and height ℎ = 65mm For better illustra-tion of the designed antenna structure the model is dividedinto four parts as shown in Figure 1(b) namely two externallayers and two internal layers There is no gap between eachlayer in practical design Both external layers are single-fed rectangular-patchmicrostrip antennas with back-to-backstructure And the internal layers constitute a classic stripline-type Wilkinson power divider where port 1 is input portand port 2 and port 3 are two output ports with the samesignal amplitude and phase Two patches are connected withoutput ports of the power divider differently by probes whichare inner core of coaxial line with length 5mm and radius045mm Port 2 is used to excite the right patch shownin Figure 1(b) and port 3 feeds the left patch Figure 1(c)demonstrates the front view of the designed antenna where 119888denotes the distance between the center of the patch and theupper edge of the substrate 119890 is distance between the feeding
Table 1 Design dimensions of designed antenna
Dimension name Dimension value119886 10mm119887 32mmℎ 65mm119888 16mm119890 935mm1198971015840 227mm119908 227mmℎ1 105mmℎ2 29mmℎ3 10mm1199081 25mm1199082 12mm1199083 25mm
point and the patch edge and 1198971015840 and 119908 represent the physical
length and physical width of patch respectivelyFigure 1(d) illustrates the dimension of equal-split
Wilkinson power divider which is for 50Ω systemimpedance in working band Width of the 50Ω transmissionlines is 1199081 = 25mm And the width of the quarter-wavelength transmission lines is 1199082 = 12mm which have acharacteristic impedance of 707Ω The dielectric constantof the external layer substrate is 16 with its thickness being4mm while the dielectric constant of the internal layersubstrate is 265 with its thickness being 1mm Designdimensions of the proposed antenna are shown in Table 1
3 Analysis of the Antenna Structure
For main TM01mode the 119864-field radiation is given by [17]
119864120579= 119895
4119896011988001
120582119903119890minus1198951198960119903119890119895((119906+V)2) sin(
119906
2) cos(V
2)
sdot [1199082
1199062+
1198972
V2 minus 1205872] sin 120579 sin120593 cos120593
119864120593= 119895
4119896011988001
120582119903119890minus1198951198960119903119890119895((119906+V)2) sin(
119906
2) cos( V
2)
sdot [1199082cos21205931199062
+1198972sin2120593V2 minus 1205872
] sin 120579 cos 120579
(1)
where 119906 = 1198960119908 sin 120579 cos120593 V = 119896
0119897 sin 120579 cos120593 119896
0= 2120587120582 119908
is the effective width of the patch 119897 is the effective length ofthe patch and119880
01denotes the voltage of mode TM
01at patch
corner point
International Journal of Antennas and Propagation 3
Patch
ab
h
(a)
External layers
Internal layers
Power divider
Ground plane
(b)
Feedingpoint
Patch
Substrate
b
h
e
c
l998400
w
x
y
(c)
Port 3 Port 2
Port 1
b
h
h2
h3
h1
w2
w3
w1
R = 100Ω
(d)
Figure 1 Model of the designed antenna
In 119864-plane (120593 = 90∘) 119906 = 0 and V = 119896
0119897 sin 120579 (1) can be
simplified as
119864120579= 119895
211990811988001
120582119903119890minus1198951198960119903119890119895(11989601198972) sin 120579 cos(
1198960119897
2sin 120579)
119864120593= 0
(2)
The designed antenna under investigation can be treatedas an array with two horizontally polarized microstripantenna elements lying along the 119911-axis as shown in Figure 2Element 1 is placed on the positive 119911-axis while element 2is on the negative 119911-axis Both of the elements are fed bytwo signals with the same amplitude and phase The totalfield radiated by two elements assuming no coupling and nodifference in excitation between the elements is equal to thesum of the two antenna elements And the radiation field ofelement 1 in the 119910-119911 plane is given by
1198641120579
= 119895211990811988001
1205821199031119890minus11989511989601199031119890
119895(11989601198972) sin 120579 cos(1198960119897
2sin 120579) (3)
Since element 2 rotates 180∘ around 119909-axis and facesnegative 119911-axis compared to element 1 far field radiationpattern of element 2 in 119910-119911 plane is given by
1198642120579
= 119895211990811988001
1205821199032119890minus11989511989601199032119890
119895(11989601198972) sin(120587+120579) cos(1198960119897
2sin (120587 + 120579))
(4)
Note that element 1 and element 2 share one commonground in this case 119889 = 0 and 1199031 = 1199032 = 119903 The total fieldradiated by the elements is given by
119864120579= 1198641120579
+ 1198642120579
= 119895211990811988001
120582119903119890minus1198951198960119903 cos(
1198960119897
2sin 120579)
sdot [119890119895(11989601198972) sin 120579 + 119890
minus119895(11989601198972) sin 120579] = 119895411990811988001
120582119903119890minus1198951198960119903
sdot cos2 (1198960119897
2sin 120579)
(5)
4 International Journal of Antennas and Propagation
1
2
r1
r2
r
120579
120579
120579
d2
d2
z
y
Figure 2 Geometry of a two-element array lying along the 119911-axis
Table 2 Roundness and gain variation against physical length 1198971015840
119892 Physical length 1198971015840 (mm) Roundness Gain variation (dBi)
2 1205822 0 infin
4 1205824 025 606 1205826 056 248 1205828 073 1410 12058210 082 0816 12058216 093 0320 12058220 095 02
Since effective length 119897 is a little bit longer than physicallength 119897
1015840 and effective length 119897 is in proportion to physicallength 119897
1015840 it is tenable using physical length 1198971015840 to replace
effective length 119897 in (5) Thus for the two-element array ofconstant amplitude approximate formula for directivity as afunction of the directional angles in 119910-119911 plane is representedby
119863 = 1198630cos4 (
11989601198971015840
2sin 120579) (6)
where1198630is the maximum directivity
Suggest that physical length 1198971015840= 120582119892 where119892 represents a
parameter Roundness of radiation pattern is 119877 = 119863min119863maxand gain variation around the 119864-plane is 119881 = |10 sdot log119877| dBi
Table 2 shows the formula calculated roundness and gainvariation against physical length 119897
1015840 Taking 1198971015840 equal to 1205824 for
example 119863min = 0251198630and 119863max = 119863
0 roundness 119877 =
119863min119863max = 025 and gain variation is 119881 = |10 sdot log(05)| asymp6 dBi Roundness and gain variationwith some other physicallength 119897
1015840 are calculated by using the same procedure shownin Table 2 Roundness and gain variation against physicallength 119897
1015840 are plotted in Figure 3 It is clearly seen that asphysical length 119897
1015840 decreases the roundness increases and gainvariation decreases
From Table 2 and Figure 3 the following results are clear(a) the back-to-back microstrip antenna radiates omnidi-rectional pattern (b) by decreasing the physical length 119897
1015840
6
6 8 10 12 14 16 18 20
5
4
4
3
2
2
1
0
10
08
06
04
02
00
Gai
n va
riatio
n (d
B)
Roun
dnes
s
RoundnessGain variation
g(l998400 = 120582g)
Figure 3 Roundness and gain variation against 1198971015840
g = 2g = 4g = 6
g = 10
g = 16
0
30
60
90
120
150
180
210
240
270
300
330
10
10
08
08
06
06
04
04
02
02
00
Figure 4 Formula calculated normalized radiation pattern on 119910-119911plane against 1198971015840
roundness increases and gain variation decreases In generalphysical length 119897
1015840 of patch is less than 1205822 and it can bedecreased by increasing dielectric constant of substrate Inthis way gain variation of the omnidirectional pattern will bedecreased and better omnidirectional radiation pattern willbe achieved by using higher permittivity material as shownin Figure 4 However it is well known that such patch sizereduction often brings decreased bandwidth increased losses(lower efficiency) and matching problems so selecting aproper substrate dielectric constant and physical length 119897
1015840 isquit important to achieve better antenna performance Thereare three ways to increase antenna impedance bandwidth(1) increasing substrate thickness (2) using U-slot wideband
International Journal of Antennas and Propagation 5
Table 3 Comparison of gain variations
Physical length 1198971015840 By formula (dBi) By HFSS (dBi)
Patch number 1 615mm 0323 120582 111 70Patch number 2 441mm 0232 120582 5 31Patch number 3 314mm 0165 120582 24 10Patch number 4 252mm 0132 120582 154 08
0 25 50
(mm)
X
YZ
Figure 5 Model of simplified antenna structure
patch to replace rectangular patch and (3) using H-shapedpatch to decrease patch physical length without increasingsubstrate dielectric constant
In order to verify the accuracy of formula (6) calculateddirectivity in 119910-119911 plane of the proposed antenna gainvariation comparisons between formula calculated andHFSSsimulated are made For simplifying the simulation process-ing power divider is removed from designed antenna twopatches are excited by two ports with the same amplitude andphase as shown in Figure 5 By choosing different substratedielectric constant different physical length 119897
1015840 is got anddifferent gain variation on main radiation plane is obtained
There are total of four different patches whose physicallength is shown in Table 3 physical length 119897
10158401 of patch
number 1 is 615mm with substrate dielectric constant 120576119903
that is 2 11989710158402 of patch number 2 is 441mm with substrate 120576119903
that is 4 11989710158403 of patch number 3 is 314mm with substrate 120576119903
that is 8 11989710158404 of patch number 4 is 252mm with substrate120576119903 that is 12 Four antennas from number 1 to number
4 are working in the same center frequency 235GHzNormalized simulated radiation patterns (by Ansoft HFSS)in 119910-119911 plane with different patches length are indicated inFigure 6 It is clearly seen that as physical length decreasesbetter omnidirectional performance is obtained which hasthe same variation tendency as formula (6) calculated results
Table 3 summarizes the specified numeric comparison offormula (6) calculated gain variation and HFSS simulatedgain variation by given different patches physical lengthPhysical length 119897
1015840 of patch number 4 is 252mm which isnearly 119897
1015840asymp 0132 120582 thus 119863min = 1426119863
0and 119863max = 119863
0
0
30
60
90
120
150
180
210
240
270
300
330
10
10
08
08
06
06
04
04
02
02
00
Number 1Number 2
Number 3Number 4
Figure 6 HFSS simulated normalized radiation pattern in 119910-119911plane
so roundness 119877 = 119863min119863max = 1426 and calculated gainvariation is119881 = |10sdotlog(0078)| asymp 154 dBi By using the sameprocedure gain variation of other patches physical length canbe calculated as shown in Table 3
Gain variation difference between formula calculated andHFSS simulated results is shown in Figure 6 Gain variationdifference of patch number 1 is 41 dBi and those of patchnumber 2 patch number 3 and patch number 4 are 19 dBi14 dBi and 074 dBi respectively (Figure 7) As physicallength is getting smaller less difference between formulacalculated result and HFSS simulated result is achievedBoth results show that better gain variation performance isobtained as patch physical length is getting shorter
4 Simulated and Measured Results
In this section several numerical simulations are conductedusing Ansoft HFSS to validate the performance of the pro-posed algorithm Better omnidirectional performance of thisantenna can be obtained by increasing substrate dielectricconstant to reduce patch physical length However suchpatch length reduction often brings decreased bandwidthincreased losses (lower efficiency) and matching problems
6 International Journal of Antennas and Propagation
12
10
8
6
4
2
00 1 2 3 4 5
Patch_Number
By formulaBy HFSS
Gai
n_Va
riatio
n (d
B)
Figure 7 Gain variation difference in 119910-119911 plane
Figure 8 Designed antenna
Therefore we set the substrate dielectric constant as 120576119903
=
16 to optimize antenna performance And the optimizedparameters of the antenna are as follows 119886 = 6mm 119887 =32mm 119888 = 16mm 119890 = 935mm 119908 = 221mm 1198971015840 = 221mmℎ = 65mm ℎ1 = 105mm ℎ2 = 29mm ℎ3 = 10mm 1199081 =25mm 1199082 = 12mm and 1199083 = 25mm
Figure 8 illustrates the realization of the designed hori-zontally polarized omnidirectionalmicrostrip antenna with aSMA connector Both the simulated and measured values ofthe designed antennarsquos 119878
11parameter are shown in Figure 9 It
is clear that the band-width of the antenna is about 16 (from1562GHz to 1587GHz) with center frequency 1575GHzand measured result agrees well with the simulated one Notethat bandwidth of designed antenna is narrow one feasibleway to overcome narrow bandwidth performance is to usewideband U-slot patch to replace square patch
Simulated three-dimensional radiation pattern of thedesigned antenna is shown in Figure 10 Peak gain of thedesigned antenna is about 22 dBi It is obvious that theradiation pattern is omnidirectional in 119910-119911 plane and thegain variation in 119910-119911 plane is less than plusmn04 dBi
0
minus5
minus10
minus15
minus20
minus25
S 11
(dB)
1530 1545 1560 1575 1590 1605 1620
Frequency (GHz)
Measured_S11Simulated_S11
Figure 9 Simulated and measured 11987811
International Journal of Antennas and Propagation 7
Y
X
dB (g
ain
tota
l)
22557e + 00035204e minus 001minus15516e + 000minus34552e + 000minus53588e + 000minus72624e + 000minus91660e + 000minus11070e + 001minus12973e + 001minus14877e + 001minus16780e + 001minus18684e + 001minus20588e + 001minus22491e + 001minus24395e + 001minus26299e + 001minus28202e + 001
Phi
Figure 10 Three-dimensional radiation pattern
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_E-planeMeasured_E-plane
(a)
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
minus30
minus40
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_H-planeMeasured_H-plane
(b)
Figure 11 Simulated and measured radiation pattern (a) 119864-plane (b)119867-plane
Figures 11(a) and 11(b) depict the simulated andmeasuredmain polarization pattern and cross polarization pattern in119864-plane and119867-plane respectively Peak gain of the designedantenna is about 22 dBi antenna efficiency is higher than90 in the operating band According to the simulationresults the gain variation in119864-plane pattern is about 058 dBiwhile the measured gain variation is about 08 dBi andcross polarization level is minus20 dBi lower than that of mainpolarization
Figure 12 shows the simulated radiation patterns ofdesigned antenna in this paper and dipole antenna in119864-planeand 119867-plane Both designed antenna and dipole antennacan obtain omnidirectional radiation pattern Peak gainsof those two antennas are almost the same but antennain this paper is with better omnidirectional performance
Moreover designed antenna is horizontally polarized ratherthan vertically polarized
5 Conclusion
A new horizontally polarized omnidirectional microstripantenna is presented in this paper Formula of directivity asa function of the directional angles in main lobe radiationplane of designed antenna is deduced Better omnidirectionalcharacteristic of this antenna can be obtained by increasingsubstrate dielectric constant or decreasing patch physicallength Both simulated andmeasured experiments are carriedout to verify the performance of the proposed antenna archi-tecture It has been shown that the peak gain is about 22 dBithe antenna efficiency is higher than 90 in operating band
8 International Journal of Antennas and Propagation
0
30
60
90
120
150
180
210
240
270
300
3305
5
0
0
minus5
minus5
minus10
minus10
minus15
minus15
minus20
minus20
minus25
Designed antenna_H-planeDesigned antenna_E-plane
Dipole antenna_H-planeDipole antenna_E-plane
Figure 12 Simulated radiation patterns of designed antenna anddipole antenna
and the cross polarization level is minus20 dBi lower than that ofmain polarization Moreover the 119864-plane gain variation ofthe designed antenna is less than plusmn04 dBi which indicates asatisfactory omnidirectional radiation pattern
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
Acknowledgments
This work was supported in part by the National NaturalScience Foundation of China (no 61271416 no 61301093and no 61501376) the Fundamental Research Funds forthe Central Universities (no 3102014KYJD027) and NPUFoundation for Fundamental Research (no JCY20130132)
References
[1] A Chen T Jiang Z Chen and D Su ldquoA novel low-profilewideband UHF antennardquo Progress in Electromagnetics Researchvol 121 pp 75ndash88 2011
[2] T J Judasz and B B Balsley ldquoImproved theoretical andexperimental models for the coaxial colinear antennardquo IEEETransactions on Antennas and Propagation vol 37 no 3 pp289ndash296 1989
[3] M Sierra-Perez F L Heras-Andres and J A G de LopeldquoLow-cost printed collinear array antennardquo IEEE Antennas andPropagation Magazine vol 43 no 5 pp 23ndash30 2001
[4] H-Y Xu H Zhang K Lu and X-F Zeng ldquoA holly-leaf-shapedmonopole antenna with low RCS for UWB applicationrdquoProgress in Electromagnetics Research vol 117 pp 35ndash50 2011
[5] P Li K M Luk and K L Lau ldquoAn omnidirectional highgain microstrip antenna array mounted on a circular cylinderrdquoin Proceedings of the IEEE Antennas and Propagation SocietyInternational Symposium vol 4 pp 698ndash701 Columbus OhioUSA June 2003
[6] A Narbudowicz X Bao M Ammann H Shakhtour and DHeberling ldquoCircularly polarized antenna with steerable dipole-like radiation patternrdquo IEEE Transactions on Antennas andPropagation vol 62 no 2 pp 519ndash526 2014
[7] H Iwasaki ldquoA back-to-back rectangular-patch antenna fed by aCPWrdquo IEEE Transactions on Antennas and Propagation vol 46no 10 pp 1527ndash1530 1998
[8] D I Wu ldquoOmnidirectional circularly-polarized conformalmicrostrip array for telemetry applicationsrdquo in Proceedings ofthe Antennas and Propagation Society International Symposiumvol 2 pp 998ndash1001 Newport Beach Calif USA June 1995
[9] K Wei J-Y Li L Wang and Z Xing ldquoA new omnidirectionalcircular polarization microstip antennardquo Progress in Electro-magnetics Research Letters vol 53 pp 45ndash50 2015
[10] S Wang and H Arai ldquoA horizontally polarized notch arrayantenna with good radiation identity in horizontal plane andits characteristic modes analysisrdquo in Proceedings of the IEEEAntennas and Propagation Society International Symposium pp1073ndash1074 IEEE Memphis Tenn USA July 2014
[11] X L Quan R L Li J Y Wang and Y H Cui ldquoDevelopmentof a broadband horizontally polarized omnidirectional planarantenna and its array for base stationsrdquo Progress in Electromag-netics Research vol 128 pp 441ndash456 2012
[12] C-C Lin L-C Kuo and H-R Chuang ldquoA horizontally polar-ized omnidirectional printed antenna for WLAN applicationsrdquoIEEE Transactions on Antennas and Propagation vol 54 no 11pp 3551ndash3556 2006
[13] Y Li Z Zhang and Z Feng ldquoA leaky wave slot antennaarray using single metal layer with azimuthally omnidirectionalpatternrdquo Progress in Electromagnetics Research vol 140 pp 199ndash212 2013
[14] X Chen K Huang and X-B Xu ldquoA novel planar slot arrayantenna with omnidirectional patternrdquo IEEE Transactions onAntennas and Propagation vol 59 no 12 pp 4853ndash4857 2011
[15] Y Li Z Zhang Z Feng and M F Iskander ldquoDesign of penta-band omnidirectional slot antenna with slender columnarstructurerdquo IEEE Transactions on Antennas and Propagation vol62 no 2 pp 594ndash601 2014
[16] A Y Svezhentsev P J Soh S Yan V Volskiy and G A E Van-denbosch ldquoOmnidirectional horizontally-polarized cylindricalmicrostrip antenna with two parasitic patchesrdquo in Proceedingsof the IEEE Antennas and Propagation Society InternationalSymposium (APSURSI rsquo14) pp 1863ndash1864 IEEE MemphisTenn USA July 2014
[17] S S Zhong ldquoSlot antenna and microstrip antennardquo in Proceed-ings of the 8th International Conference on Antenna Theory andTechniques (ICATT rsquo11) Section 1 pp 272ndash274 Beijing ChinaSeptember 2011
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2 International Journal of Antennas and Propagation
characteristics Drawbacks of slot antennas or arrays obtainedhorizontally polarized omnidirectional radiation pattern arelarge in size heavy in weight and difficult to fabricate
A horizontally polarized omnidirectional microstripantenna is described in [16] the antenna consists of threemain components a probe-fed main patch and two parasiticpatches placed conformally on a cylindrical structure Theantenna structure is designed in the form of a belt forhorizontally polarized applications But the minus10 dB antennabandwidth is about 146 and the antenna is hard to fabricate
A new horizontally polarized omnidirectional microstripantenna is proposed in this paper The designed antennawhich has a pair of patches is with back-to-back structureThe patches are symmetrically placed along vertical planeso fields from the two patches of the designed antenna areinterfered constructively (add) in the horizontal directionand interfered destructively (cancel each other) in verticaldirection Due to that omnidirectional radiation pattern isachieved Adding that patches are horizontally polarized sodesigned antenna is with horizontally polarized omnidirec-tional radiation pattern Wilkinson power divider is used forfeeding the patches because it is with the useful property ofappearing lossless when the output ports are matched Thischaracteristic provides good impedance matching and goodefficiency performances of designed antenna in this paper
The radiation theory of the back-to-back structure isstudied Software Ansoft HFSS is applied to design andsimulate the antenna for the purpose of optimizing theomnidirectional characteristic drawing the best technicalparameters The new proposed antenna is fabricated andmeasured Measured results are shown to make the compar-ison with the simulated ones The proposed HP omnidirec-tionalmicrostrip antenna enjoys the following advantages (1)it has a small and compact size (2) it is easy to fabricate (3)the radiation pattern and input impedance characteristic aresatisfactory (4) the cross polarization level is low
2 Antenna Design
The geometry of designed antenna is shown in Figure 1(a)Outline size of the antenna is as follows length 119887 = 32mmwidth 119886 = 10mm and height ℎ = 65mm For better illustra-tion of the designed antenna structure the model is dividedinto four parts as shown in Figure 1(b) namely two externallayers and two internal layers There is no gap between eachlayer in practical design Both external layers are single-fed rectangular-patchmicrostrip antennas with back-to-backstructure And the internal layers constitute a classic stripline-type Wilkinson power divider where port 1 is input portand port 2 and port 3 are two output ports with the samesignal amplitude and phase Two patches are connected withoutput ports of the power divider differently by probes whichare inner core of coaxial line with length 5mm and radius045mm Port 2 is used to excite the right patch shownin Figure 1(b) and port 3 feeds the left patch Figure 1(c)demonstrates the front view of the designed antenna where 119888denotes the distance between the center of the patch and theupper edge of the substrate 119890 is distance between the feeding
Table 1 Design dimensions of designed antenna
Dimension name Dimension value119886 10mm119887 32mmℎ 65mm119888 16mm119890 935mm1198971015840 227mm119908 227mmℎ1 105mmℎ2 29mmℎ3 10mm1199081 25mm1199082 12mm1199083 25mm
point and the patch edge and 1198971015840 and 119908 represent the physical
length and physical width of patch respectivelyFigure 1(d) illustrates the dimension of equal-split
Wilkinson power divider which is for 50Ω systemimpedance in working band Width of the 50Ω transmissionlines is 1199081 = 25mm And the width of the quarter-wavelength transmission lines is 1199082 = 12mm which have acharacteristic impedance of 707Ω The dielectric constantof the external layer substrate is 16 with its thickness being4mm while the dielectric constant of the internal layersubstrate is 265 with its thickness being 1mm Designdimensions of the proposed antenna are shown in Table 1
3 Analysis of the Antenna Structure
For main TM01mode the 119864-field radiation is given by [17]
119864120579= 119895
4119896011988001
120582119903119890minus1198951198960119903119890119895((119906+V)2) sin(
119906
2) cos(V
2)
sdot [1199082
1199062+
1198972
V2 minus 1205872] sin 120579 sin120593 cos120593
119864120593= 119895
4119896011988001
120582119903119890minus1198951198960119903119890119895((119906+V)2) sin(
119906
2) cos( V
2)
sdot [1199082cos21205931199062
+1198972sin2120593V2 minus 1205872
] sin 120579 cos 120579
(1)
where 119906 = 1198960119908 sin 120579 cos120593 V = 119896
0119897 sin 120579 cos120593 119896
0= 2120587120582 119908
is the effective width of the patch 119897 is the effective length ofthe patch and119880
01denotes the voltage of mode TM
01at patch
corner point
International Journal of Antennas and Propagation 3
Patch
ab
h
(a)
External layers
Internal layers
Power divider
Ground plane
(b)
Feedingpoint
Patch
Substrate
b
h
e
c
l998400
w
x
y
(c)
Port 3 Port 2
Port 1
b
h
h2
h3
h1
w2
w3
w1
R = 100Ω
(d)
Figure 1 Model of the designed antenna
In 119864-plane (120593 = 90∘) 119906 = 0 and V = 119896
0119897 sin 120579 (1) can be
simplified as
119864120579= 119895
211990811988001
120582119903119890minus1198951198960119903119890119895(11989601198972) sin 120579 cos(
1198960119897
2sin 120579)
119864120593= 0
(2)
The designed antenna under investigation can be treatedas an array with two horizontally polarized microstripantenna elements lying along the 119911-axis as shown in Figure 2Element 1 is placed on the positive 119911-axis while element 2is on the negative 119911-axis Both of the elements are fed bytwo signals with the same amplitude and phase The totalfield radiated by two elements assuming no coupling and nodifference in excitation between the elements is equal to thesum of the two antenna elements And the radiation field ofelement 1 in the 119910-119911 plane is given by
1198641120579
= 119895211990811988001
1205821199031119890minus11989511989601199031119890
119895(11989601198972) sin 120579 cos(1198960119897
2sin 120579) (3)
Since element 2 rotates 180∘ around 119909-axis and facesnegative 119911-axis compared to element 1 far field radiationpattern of element 2 in 119910-119911 plane is given by
1198642120579
= 119895211990811988001
1205821199032119890minus11989511989601199032119890
119895(11989601198972) sin(120587+120579) cos(1198960119897
2sin (120587 + 120579))
(4)
Note that element 1 and element 2 share one commonground in this case 119889 = 0 and 1199031 = 1199032 = 119903 The total fieldradiated by the elements is given by
119864120579= 1198641120579
+ 1198642120579
= 119895211990811988001
120582119903119890minus1198951198960119903 cos(
1198960119897
2sin 120579)
sdot [119890119895(11989601198972) sin 120579 + 119890
minus119895(11989601198972) sin 120579] = 119895411990811988001
120582119903119890minus1198951198960119903
sdot cos2 (1198960119897
2sin 120579)
(5)
4 International Journal of Antennas and Propagation
1
2
r1
r2
r
120579
120579
120579
d2
d2
z
y
Figure 2 Geometry of a two-element array lying along the 119911-axis
Table 2 Roundness and gain variation against physical length 1198971015840
119892 Physical length 1198971015840 (mm) Roundness Gain variation (dBi)
2 1205822 0 infin
4 1205824 025 606 1205826 056 248 1205828 073 1410 12058210 082 0816 12058216 093 0320 12058220 095 02
Since effective length 119897 is a little bit longer than physicallength 119897
1015840 and effective length 119897 is in proportion to physicallength 119897
1015840 it is tenable using physical length 1198971015840 to replace
effective length 119897 in (5) Thus for the two-element array ofconstant amplitude approximate formula for directivity as afunction of the directional angles in 119910-119911 plane is representedby
119863 = 1198630cos4 (
11989601198971015840
2sin 120579) (6)
where1198630is the maximum directivity
Suggest that physical length 1198971015840= 120582119892 where119892 represents a
parameter Roundness of radiation pattern is 119877 = 119863min119863maxand gain variation around the 119864-plane is 119881 = |10 sdot log119877| dBi
Table 2 shows the formula calculated roundness and gainvariation against physical length 119897
1015840 Taking 1198971015840 equal to 1205824 for
example 119863min = 0251198630and 119863max = 119863
0 roundness 119877 =
119863min119863max = 025 and gain variation is 119881 = |10 sdot log(05)| asymp6 dBi Roundness and gain variationwith some other physicallength 119897
1015840 are calculated by using the same procedure shownin Table 2 Roundness and gain variation against physicallength 119897
1015840 are plotted in Figure 3 It is clearly seen that asphysical length 119897
1015840 decreases the roundness increases and gainvariation decreases
From Table 2 and Figure 3 the following results are clear(a) the back-to-back microstrip antenna radiates omnidi-rectional pattern (b) by decreasing the physical length 119897
1015840
6
6 8 10 12 14 16 18 20
5
4
4
3
2
2
1
0
10
08
06
04
02
00
Gai
n va
riatio
n (d
B)
Roun
dnes
s
RoundnessGain variation
g(l998400 = 120582g)
Figure 3 Roundness and gain variation against 1198971015840
g = 2g = 4g = 6
g = 10
g = 16
0
30
60
90
120
150
180
210
240
270
300
330
10
10
08
08
06
06
04
04
02
02
00
Figure 4 Formula calculated normalized radiation pattern on 119910-119911plane against 1198971015840
roundness increases and gain variation decreases In generalphysical length 119897
1015840 of patch is less than 1205822 and it can bedecreased by increasing dielectric constant of substrate Inthis way gain variation of the omnidirectional pattern will bedecreased and better omnidirectional radiation pattern willbe achieved by using higher permittivity material as shownin Figure 4 However it is well known that such patch sizereduction often brings decreased bandwidth increased losses(lower efficiency) and matching problems so selecting aproper substrate dielectric constant and physical length 119897
1015840 isquit important to achieve better antenna performance Thereare three ways to increase antenna impedance bandwidth(1) increasing substrate thickness (2) using U-slot wideband
International Journal of Antennas and Propagation 5
Table 3 Comparison of gain variations
Physical length 1198971015840 By formula (dBi) By HFSS (dBi)
Patch number 1 615mm 0323 120582 111 70Patch number 2 441mm 0232 120582 5 31Patch number 3 314mm 0165 120582 24 10Patch number 4 252mm 0132 120582 154 08
0 25 50
(mm)
X
YZ
Figure 5 Model of simplified antenna structure
patch to replace rectangular patch and (3) using H-shapedpatch to decrease patch physical length without increasingsubstrate dielectric constant
In order to verify the accuracy of formula (6) calculateddirectivity in 119910-119911 plane of the proposed antenna gainvariation comparisons between formula calculated andHFSSsimulated are made For simplifying the simulation process-ing power divider is removed from designed antenna twopatches are excited by two ports with the same amplitude andphase as shown in Figure 5 By choosing different substratedielectric constant different physical length 119897
1015840 is got anddifferent gain variation on main radiation plane is obtained
There are total of four different patches whose physicallength is shown in Table 3 physical length 119897
10158401 of patch
number 1 is 615mm with substrate dielectric constant 120576119903
that is 2 11989710158402 of patch number 2 is 441mm with substrate 120576119903
that is 4 11989710158403 of patch number 3 is 314mm with substrate 120576119903
that is 8 11989710158404 of patch number 4 is 252mm with substrate120576119903 that is 12 Four antennas from number 1 to number
4 are working in the same center frequency 235GHzNormalized simulated radiation patterns (by Ansoft HFSS)in 119910-119911 plane with different patches length are indicated inFigure 6 It is clearly seen that as physical length decreasesbetter omnidirectional performance is obtained which hasthe same variation tendency as formula (6) calculated results
Table 3 summarizes the specified numeric comparison offormula (6) calculated gain variation and HFSS simulatedgain variation by given different patches physical lengthPhysical length 119897
1015840 of patch number 4 is 252mm which isnearly 119897
1015840asymp 0132 120582 thus 119863min = 1426119863
0and 119863max = 119863
0
0
30
60
90
120
150
180
210
240
270
300
330
10
10
08
08
06
06
04
04
02
02
00
Number 1Number 2
Number 3Number 4
Figure 6 HFSS simulated normalized radiation pattern in 119910-119911plane
so roundness 119877 = 119863min119863max = 1426 and calculated gainvariation is119881 = |10sdotlog(0078)| asymp 154 dBi By using the sameprocedure gain variation of other patches physical length canbe calculated as shown in Table 3
Gain variation difference between formula calculated andHFSS simulated results is shown in Figure 6 Gain variationdifference of patch number 1 is 41 dBi and those of patchnumber 2 patch number 3 and patch number 4 are 19 dBi14 dBi and 074 dBi respectively (Figure 7) As physicallength is getting smaller less difference between formulacalculated result and HFSS simulated result is achievedBoth results show that better gain variation performance isobtained as patch physical length is getting shorter
4 Simulated and Measured Results
In this section several numerical simulations are conductedusing Ansoft HFSS to validate the performance of the pro-posed algorithm Better omnidirectional performance of thisantenna can be obtained by increasing substrate dielectricconstant to reduce patch physical length However suchpatch length reduction often brings decreased bandwidthincreased losses (lower efficiency) and matching problems
6 International Journal of Antennas and Propagation
12
10
8
6
4
2
00 1 2 3 4 5
Patch_Number
By formulaBy HFSS
Gai
n_Va
riatio
n (d
B)
Figure 7 Gain variation difference in 119910-119911 plane
Figure 8 Designed antenna
Therefore we set the substrate dielectric constant as 120576119903
=
16 to optimize antenna performance And the optimizedparameters of the antenna are as follows 119886 = 6mm 119887 =32mm 119888 = 16mm 119890 = 935mm 119908 = 221mm 1198971015840 = 221mmℎ = 65mm ℎ1 = 105mm ℎ2 = 29mm ℎ3 = 10mm 1199081 =25mm 1199082 = 12mm and 1199083 = 25mm
Figure 8 illustrates the realization of the designed hori-zontally polarized omnidirectionalmicrostrip antenna with aSMA connector Both the simulated and measured values ofthe designed antennarsquos 119878
11parameter are shown in Figure 9 It
is clear that the band-width of the antenna is about 16 (from1562GHz to 1587GHz) with center frequency 1575GHzand measured result agrees well with the simulated one Notethat bandwidth of designed antenna is narrow one feasibleway to overcome narrow bandwidth performance is to usewideband U-slot patch to replace square patch
Simulated three-dimensional radiation pattern of thedesigned antenna is shown in Figure 10 Peak gain of thedesigned antenna is about 22 dBi It is obvious that theradiation pattern is omnidirectional in 119910-119911 plane and thegain variation in 119910-119911 plane is less than plusmn04 dBi
0
minus5
minus10
minus15
minus20
minus25
S 11
(dB)
1530 1545 1560 1575 1590 1605 1620
Frequency (GHz)
Measured_S11Simulated_S11
Figure 9 Simulated and measured 11987811
International Journal of Antennas and Propagation 7
Y
X
dB (g
ain
tota
l)
22557e + 00035204e minus 001minus15516e + 000minus34552e + 000minus53588e + 000minus72624e + 000minus91660e + 000minus11070e + 001minus12973e + 001minus14877e + 001minus16780e + 001minus18684e + 001minus20588e + 001minus22491e + 001minus24395e + 001minus26299e + 001minus28202e + 001
Phi
Figure 10 Three-dimensional radiation pattern
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_E-planeMeasured_E-plane
(a)
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
minus30
minus40
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_H-planeMeasured_H-plane
(b)
Figure 11 Simulated and measured radiation pattern (a) 119864-plane (b)119867-plane
Figures 11(a) and 11(b) depict the simulated andmeasuredmain polarization pattern and cross polarization pattern in119864-plane and119867-plane respectively Peak gain of the designedantenna is about 22 dBi antenna efficiency is higher than90 in the operating band According to the simulationresults the gain variation in119864-plane pattern is about 058 dBiwhile the measured gain variation is about 08 dBi andcross polarization level is minus20 dBi lower than that of mainpolarization
Figure 12 shows the simulated radiation patterns ofdesigned antenna in this paper and dipole antenna in119864-planeand 119867-plane Both designed antenna and dipole antennacan obtain omnidirectional radiation pattern Peak gainsof those two antennas are almost the same but antennain this paper is with better omnidirectional performance
Moreover designed antenna is horizontally polarized ratherthan vertically polarized
5 Conclusion
A new horizontally polarized omnidirectional microstripantenna is presented in this paper Formula of directivity asa function of the directional angles in main lobe radiationplane of designed antenna is deduced Better omnidirectionalcharacteristic of this antenna can be obtained by increasingsubstrate dielectric constant or decreasing patch physicallength Both simulated andmeasured experiments are carriedout to verify the performance of the proposed antenna archi-tecture It has been shown that the peak gain is about 22 dBithe antenna efficiency is higher than 90 in operating band
8 International Journal of Antennas and Propagation
0
30
60
90
120
150
180
210
240
270
300
3305
5
0
0
minus5
minus5
minus10
minus10
minus15
minus15
minus20
minus20
minus25
Designed antenna_H-planeDesigned antenna_E-plane
Dipole antenna_H-planeDipole antenna_E-plane
Figure 12 Simulated radiation patterns of designed antenna anddipole antenna
and the cross polarization level is minus20 dBi lower than that ofmain polarization Moreover the 119864-plane gain variation ofthe designed antenna is less than plusmn04 dBi which indicates asatisfactory omnidirectional radiation pattern
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
Acknowledgments
This work was supported in part by the National NaturalScience Foundation of China (no 61271416 no 61301093and no 61501376) the Fundamental Research Funds forthe Central Universities (no 3102014KYJD027) and NPUFoundation for Fundamental Research (no JCY20130132)
References
[1] A Chen T Jiang Z Chen and D Su ldquoA novel low-profilewideband UHF antennardquo Progress in Electromagnetics Researchvol 121 pp 75ndash88 2011
[2] T J Judasz and B B Balsley ldquoImproved theoretical andexperimental models for the coaxial colinear antennardquo IEEETransactions on Antennas and Propagation vol 37 no 3 pp289ndash296 1989
[3] M Sierra-Perez F L Heras-Andres and J A G de LopeldquoLow-cost printed collinear array antennardquo IEEE Antennas andPropagation Magazine vol 43 no 5 pp 23ndash30 2001
[4] H-Y Xu H Zhang K Lu and X-F Zeng ldquoA holly-leaf-shapedmonopole antenna with low RCS for UWB applicationrdquoProgress in Electromagnetics Research vol 117 pp 35ndash50 2011
[5] P Li K M Luk and K L Lau ldquoAn omnidirectional highgain microstrip antenna array mounted on a circular cylinderrdquoin Proceedings of the IEEE Antennas and Propagation SocietyInternational Symposium vol 4 pp 698ndash701 Columbus OhioUSA June 2003
[6] A Narbudowicz X Bao M Ammann H Shakhtour and DHeberling ldquoCircularly polarized antenna with steerable dipole-like radiation patternrdquo IEEE Transactions on Antennas andPropagation vol 62 no 2 pp 519ndash526 2014
[7] H Iwasaki ldquoA back-to-back rectangular-patch antenna fed by aCPWrdquo IEEE Transactions on Antennas and Propagation vol 46no 10 pp 1527ndash1530 1998
[8] D I Wu ldquoOmnidirectional circularly-polarized conformalmicrostrip array for telemetry applicationsrdquo in Proceedings ofthe Antennas and Propagation Society International Symposiumvol 2 pp 998ndash1001 Newport Beach Calif USA June 1995
[9] K Wei J-Y Li L Wang and Z Xing ldquoA new omnidirectionalcircular polarization microstip antennardquo Progress in Electro-magnetics Research Letters vol 53 pp 45ndash50 2015
[10] S Wang and H Arai ldquoA horizontally polarized notch arrayantenna with good radiation identity in horizontal plane andits characteristic modes analysisrdquo in Proceedings of the IEEEAntennas and Propagation Society International Symposium pp1073ndash1074 IEEE Memphis Tenn USA July 2014
[11] X L Quan R L Li J Y Wang and Y H Cui ldquoDevelopmentof a broadband horizontally polarized omnidirectional planarantenna and its array for base stationsrdquo Progress in Electromag-netics Research vol 128 pp 441ndash456 2012
[12] C-C Lin L-C Kuo and H-R Chuang ldquoA horizontally polar-ized omnidirectional printed antenna for WLAN applicationsrdquoIEEE Transactions on Antennas and Propagation vol 54 no 11pp 3551ndash3556 2006
[13] Y Li Z Zhang and Z Feng ldquoA leaky wave slot antennaarray using single metal layer with azimuthally omnidirectionalpatternrdquo Progress in Electromagnetics Research vol 140 pp 199ndash212 2013
[14] X Chen K Huang and X-B Xu ldquoA novel planar slot arrayantenna with omnidirectional patternrdquo IEEE Transactions onAntennas and Propagation vol 59 no 12 pp 4853ndash4857 2011
[15] Y Li Z Zhang Z Feng and M F Iskander ldquoDesign of penta-band omnidirectional slot antenna with slender columnarstructurerdquo IEEE Transactions on Antennas and Propagation vol62 no 2 pp 594ndash601 2014
[16] A Y Svezhentsev P J Soh S Yan V Volskiy and G A E Van-denbosch ldquoOmnidirectional horizontally-polarized cylindricalmicrostrip antenna with two parasitic patchesrdquo in Proceedingsof the IEEE Antennas and Propagation Society InternationalSymposium (APSURSI rsquo14) pp 1863ndash1864 IEEE MemphisTenn USA July 2014
[17] S S Zhong ldquoSlot antenna and microstrip antennardquo in Proceed-ings of the 8th International Conference on Antenna Theory andTechniques (ICATT rsquo11) Section 1 pp 272ndash274 Beijing ChinaSeptember 2011
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Chemical EngineeringInternational Journal of Antennas and
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International Journal of
International Journal of Antennas and Propagation 3
Patch
ab
h
(a)
External layers
Internal layers
Power divider
Ground plane
(b)
Feedingpoint
Patch
Substrate
b
h
e
c
l998400
w
x
y
(c)
Port 3 Port 2
Port 1
b
h
h2
h3
h1
w2
w3
w1
R = 100Ω
(d)
Figure 1 Model of the designed antenna
In 119864-plane (120593 = 90∘) 119906 = 0 and V = 119896
0119897 sin 120579 (1) can be
simplified as
119864120579= 119895
211990811988001
120582119903119890minus1198951198960119903119890119895(11989601198972) sin 120579 cos(
1198960119897
2sin 120579)
119864120593= 0
(2)
The designed antenna under investigation can be treatedas an array with two horizontally polarized microstripantenna elements lying along the 119911-axis as shown in Figure 2Element 1 is placed on the positive 119911-axis while element 2is on the negative 119911-axis Both of the elements are fed bytwo signals with the same amplitude and phase The totalfield radiated by two elements assuming no coupling and nodifference in excitation between the elements is equal to thesum of the two antenna elements And the radiation field ofelement 1 in the 119910-119911 plane is given by
1198641120579
= 119895211990811988001
1205821199031119890minus11989511989601199031119890
119895(11989601198972) sin 120579 cos(1198960119897
2sin 120579) (3)
Since element 2 rotates 180∘ around 119909-axis and facesnegative 119911-axis compared to element 1 far field radiationpattern of element 2 in 119910-119911 plane is given by
1198642120579
= 119895211990811988001
1205821199032119890minus11989511989601199032119890
119895(11989601198972) sin(120587+120579) cos(1198960119897
2sin (120587 + 120579))
(4)
Note that element 1 and element 2 share one commonground in this case 119889 = 0 and 1199031 = 1199032 = 119903 The total fieldradiated by the elements is given by
119864120579= 1198641120579
+ 1198642120579
= 119895211990811988001
120582119903119890minus1198951198960119903 cos(
1198960119897
2sin 120579)
sdot [119890119895(11989601198972) sin 120579 + 119890
minus119895(11989601198972) sin 120579] = 119895411990811988001
120582119903119890minus1198951198960119903
sdot cos2 (1198960119897
2sin 120579)
(5)
4 International Journal of Antennas and Propagation
1
2
r1
r2
r
120579
120579
120579
d2
d2
z
y
Figure 2 Geometry of a two-element array lying along the 119911-axis
Table 2 Roundness and gain variation against physical length 1198971015840
119892 Physical length 1198971015840 (mm) Roundness Gain variation (dBi)
2 1205822 0 infin
4 1205824 025 606 1205826 056 248 1205828 073 1410 12058210 082 0816 12058216 093 0320 12058220 095 02
Since effective length 119897 is a little bit longer than physicallength 119897
1015840 and effective length 119897 is in proportion to physicallength 119897
1015840 it is tenable using physical length 1198971015840 to replace
effective length 119897 in (5) Thus for the two-element array ofconstant amplitude approximate formula for directivity as afunction of the directional angles in 119910-119911 plane is representedby
119863 = 1198630cos4 (
11989601198971015840
2sin 120579) (6)
where1198630is the maximum directivity
Suggest that physical length 1198971015840= 120582119892 where119892 represents a
parameter Roundness of radiation pattern is 119877 = 119863min119863maxand gain variation around the 119864-plane is 119881 = |10 sdot log119877| dBi
Table 2 shows the formula calculated roundness and gainvariation against physical length 119897
1015840 Taking 1198971015840 equal to 1205824 for
example 119863min = 0251198630and 119863max = 119863
0 roundness 119877 =
119863min119863max = 025 and gain variation is 119881 = |10 sdot log(05)| asymp6 dBi Roundness and gain variationwith some other physicallength 119897
1015840 are calculated by using the same procedure shownin Table 2 Roundness and gain variation against physicallength 119897
1015840 are plotted in Figure 3 It is clearly seen that asphysical length 119897
1015840 decreases the roundness increases and gainvariation decreases
From Table 2 and Figure 3 the following results are clear(a) the back-to-back microstrip antenna radiates omnidi-rectional pattern (b) by decreasing the physical length 119897
1015840
6
6 8 10 12 14 16 18 20
5
4
4
3
2
2
1
0
10
08
06
04
02
00
Gai
n va
riatio
n (d
B)
Roun
dnes
s
RoundnessGain variation
g(l998400 = 120582g)
Figure 3 Roundness and gain variation against 1198971015840
g = 2g = 4g = 6
g = 10
g = 16
0
30
60
90
120
150
180
210
240
270
300
330
10
10
08
08
06
06
04
04
02
02
00
Figure 4 Formula calculated normalized radiation pattern on 119910-119911plane against 1198971015840
roundness increases and gain variation decreases In generalphysical length 119897
1015840 of patch is less than 1205822 and it can bedecreased by increasing dielectric constant of substrate Inthis way gain variation of the omnidirectional pattern will bedecreased and better omnidirectional radiation pattern willbe achieved by using higher permittivity material as shownin Figure 4 However it is well known that such patch sizereduction often brings decreased bandwidth increased losses(lower efficiency) and matching problems so selecting aproper substrate dielectric constant and physical length 119897
1015840 isquit important to achieve better antenna performance Thereare three ways to increase antenna impedance bandwidth(1) increasing substrate thickness (2) using U-slot wideband
International Journal of Antennas and Propagation 5
Table 3 Comparison of gain variations
Physical length 1198971015840 By formula (dBi) By HFSS (dBi)
Patch number 1 615mm 0323 120582 111 70Patch number 2 441mm 0232 120582 5 31Patch number 3 314mm 0165 120582 24 10Patch number 4 252mm 0132 120582 154 08
0 25 50
(mm)
X
YZ
Figure 5 Model of simplified antenna structure
patch to replace rectangular patch and (3) using H-shapedpatch to decrease patch physical length without increasingsubstrate dielectric constant
In order to verify the accuracy of formula (6) calculateddirectivity in 119910-119911 plane of the proposed antenna gainvariation comparisons between formula calculated andHFSSsimulated are made For simplifying the simulation process-ing power divider is removed from designed antenna twopatches are excited by two ports with the same amplitude andphase as shown in Figure 5 By choosing different substratedielectric constant different physical length 119897
1015840 is got anddifferent gain variation on main radiation plane is obtained
There are total of four different patches whose physicallength is shown in Table 3 physical length 119897
10158401 of patch
number 1 is 615mm with substrate dielectric constant 120576119903
that is 2 11989710158402 of patch number 2 is 441mm with substrate 120576119903
that is 4 11989710158403 of patch number 3 is 314mm with substrate 120576119903
that is 8 11989710158404 of patch number 4 is 252mm with substrate120576119903 that is 12 Four antennas from number 1 to number
4 are working in the same center frequency 235GHzNormalized simulated radiation patterns (by Ansoft HFSS)in 119910-119911 plane with different patches length are indicated inFigure 6 It is clearly seen that as physical length decreasesbetter omnidirectional performance is obtained which hasthe same variation tendency as formula (6) calculated results
Table 3 summarizes the specified numeric comparison offormula (6) calculated gain variation and HFSS simulatedgain variation by given different patches physical lengthPhysical length 119897
1015840 of patch number 4 is 252mm which isnearly 119897
1015840asymp 0132 120582 thus 119863min = 1426119863
0and 119863max = 119863
0
0
30
60
90
120
150
180
210
240
270
300
330
10
10
08
08
06
06
04
04
02
02
00
Number 1Number 2
Number 3Number 4
Figure 6 HFSS simulated normalized radiation pattern in 119910-119911plane
so roundness 119877 = 119863min119863max = 1426 and calculated gainvariation is119881 = |10sdotlog(0078)| asymp 154 dBi By using the sameprocedure gain variation of other patches physical length canbe calculated as shown in Table 3
Gain variation difference between formula calculated andHFSS simulated results is shown in Figure 6 Gain variationdifference of patch number 1 is 41 dBi and those of patchnumber 2 patch number 3 and patch number 4 are 19 dBi14 dBi and 074 dBi respectively (Figure 7) As physicallength is getting smaller less difference between formulacalculated result and HFSS simulated result is achievedBoth results show that better gain variation performance isobtained as patch physical length is getting shorter
4 Simulated and Measured Results
In this section several numerical simulations are conductedusing Ansoft HFSS to validate the performance of the pro-posed algorithm Better omnidirectional performance of thisantenna can be obtained by increasing substrate dielectricconstant to reduce patch physical length However suchpatch length reduction often brings decreased bandwidthincreased losses (lower efficiency) and matching problems
6 International Journal of Antennas and Propagation
12
10
8
6
4
2
00 1 2 3 4 5
Patch_Number
By formulaBy HFSS
Gai
n_Va
riatio
n (d
B)
Figure 7 Gain variation difference in 119910-119911 plane
Figure 8 Designed antenna
Therefore we set the substrate dielectric constant as 120576119903
=
16 to optimize antenna performance And the optimizedparameters of the antenna are as follows 119886 = 6mm 119887 =32mm 119888 = 16mm 119890 = 935mm 119908 = 221mm 1198971015840 = 221mmℎ = 65mm ℎ1 = 105mm ℎ2 = 29mm ℎ3 = 10mm 1199081 =25mm 1199082 = 12mm and 1199083 = 25mm
Figure 8 illustrates the realization of the designed hori-zontally polarized omnidirectionalmicrostrip antenna with aSMA connector Both the simulated and measured values ofthe designed antennarsquos 119878
11parameter are shown in Figure 9 It
is clear that the band-width of the antenna is about 16 (from1562GHz to 1587GHz) with center frequency 1575GHzand measured result agrees well with the simulated one Notethat bandwidth of designed antenna is narrow one feasibleway to overcome narrow bandwidth performance is to usewideband U-slot patch to replace square patch
Simulated three-dimensional radiation pattern of thedesigned antenna is shown in Figure 10 Peak gain of thedesigned antenna is about 22 dBi It is obvious that theradiation pattern is omnidirectional in 119910-119911 plane and thegain variation in 119910-119911 plane is less than plusmn04 dBi
0
minus5
minus10
minus15
minus20
minus25
S 11
(dB)
1530 1545 1560 1575 1590 1605 1620
Frequency (GHz)
Measured_S11Simulated_S11
Figure 9 Simulated and measured 11987811
International Journal of Antennas and Propagation 7
Y
X
dB (g
ain
tota
l)
22557e + 00035204e minus 001minus15516e + 000minus34552e + 000minus53588e + 000minus72624e + 000minus91660e + 000minus11070e + 001minus12973e + 001minus14877e + 001minus16780e + 001minus18684e + 001minus20588e + 001minus22491e + 001minus24395e + 001minus26299e + 001minus28202e + 001
Phi
Figure 10 Three-dimensional radiation pattern
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_E-planeMeasured_E-plane
(a)
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
minus30
minus40
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_H-planeMeasured_H-plane
(b)
Figure 11 Simulated and measured radiation pattern (a) 119864-plane (b)119867-plane
Figures 11(a) and 11(b) depict the simulated andmeasuredmain polarization pattern and cross polarization pattern in119864-plane and119867-plane respectively Peak gain of the designedantenna is about 22 dBi antenna efficiency is higher than90 in the operating band According to the simulationresults the gain variation in119864-plane pattern is about 058 dBiwhile the measured gain variation is about 08 dBi andcross polarization level is minus20 dBi lower than that of mainpolarization
Figure 12 shows the simulated radiation patterns ofdesigned antenna in this paper and dipole antenna in119864-planeand 119867-plane Both designed antenna and dipole antennacan obtain omnidirectional radiation pattern Peak gainsof those two antennas are almost the same but antennain this paper is with better omnidirectional performance
Moreover designed antenna is horizontally polarized ratherthan vertically polarized
5 Conclusion
A new horizontally polarized omnidirectional microstripantenna is presented in this paper Formula of directivity asa function of the directional angles in main lobe radiationplane of designed antenna is deduced Better omnidirectionalcharacteristic of this antenna can be obtained by increasingsubstrate dielectric constant or decreasing patch physicallength Both simulated andmeasured experiments are carriedout to verify the performance of the proposed antenna archi-tecture It has been shown that the peak gain is about 22 dBithe antenna efficiency is higher than 90 in operating band
8 International Journal of Antennas and Propagation
0
30
60
90
120
150
180
210
240
270
300
3305
5
0
0
minus5
minus5
minus10
minus10
minus15
minus15
minus20
minus20
minus25
Designed antenna_H-planeDesigned antenna_E-plane
Dipole antenna_H-planeDipole antenna_E-plane
Figure 12 Simulated radiation patterns of designed antenna anddipole antenna
and the cross polarization level is minus20 dBi lower than that ofmain polarization Moreover the 119864-plane gain variation ofthe designed antenna is less than plusmn04 dBi which indicates asatisfactory omnidirectional radiation pattern
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
Acknowledgments
This work was supported in part by the National NaturalScience Foundation of China (no 61271416 no 61301093and no 61501376) the Fundamental Research Funds forthe Central Universities (no 3102014KYJD027) and NPUFoundation for Fundamental Research (no JCY20130132)
References
[1] A Chen T Jiang Z Chen and D Su ldquoA novel low-profilewideband UHF antennardquo Progress in Electromagnetics Researchvol 121 pp 75ndash88 2011
[2] T J Judasz and B B Balsley ldquoImproved theoretical andexperimental models for the coaxial colinear antennardquo IEEETransactions on Antennas and Propagation vol 37 no 3 pp289ndash296 1989
[3] M Sierra-Perez F L Heras-Andres and J A G de LopeldquoLow-cost printed collinear array antennardquo IEEE Antennas andPropagation Magazine vol 43 no 5 pp 23ndash30 2001
[4] H-Y Xu H Zhang K Lu and X-F Zeng ldquoA holly-leaf-shapedmonopole antenna with low RCS for UWB applicationrdquoProgress in Electromagnetics Research vol 117 pp 35ndash50 2011
[5] P Li K M Luk and K L Lau ldquoAn omnidirectional highgain microstrip antenna array mounted on a circular cylinderrdquoin Proceedings of the IEEE Antennas and Propagation SocietyInternational Symposium vol 4 pp 698ndash701 Columbus OhioUSA June 2003
[6] A Narbudowicz X Bao M Ammann H Shakhtour and DHeberling ldquoCircularly polarized antenna with steerable dipole-like radiation patternrdquo IEEE Transactions on Antennas andPropagation vol 62 no 2 pp 519ndash526 2014
[7] H Iwasaki ldquoA back-to-back rectangular-patch antenna fed by aCPWrdquo IEEE Transactions on Antennas and Propagation vol 46no 10 pp 1527ndash1530 1998
[8] D I Wu ldquoOmnidirectional circularly-polarized conformalmicrostrip array for telemetry applicationsrdquo in Proceedings ofthe Antennas and Propagation Society International Symposiumvol 2 pp 998ndash1001 Newport Beach Calif USA June 1995
[9] K Wei J-Y Li L Wang and Z Xing ldquoA new omnidirectionalcircular polarization microstip antennardquo Progress in Electro-magnetics Research Letters vol 53 pp 45ndash50 2015
[10] S Wang and H Arai ldquoA horizontally polarized notch arrayantenna with good radiation identity in horizontal plane andits characteristic modes analysisrdquo in Proceedings of the IEEEAntennas and Propagation Society International Symposium pp1073ndash1074 IEEE Memphis Tenn USA July 2014
[11] X L Quan R L Li J Y Wang and Y H Cui ldquoDevelopmentof a broadband horizontally polarized omnidirectional planarantenna and its array for base stationsrdquo Progress in Electromag-netics Research vol 128 pp 441ndash456 2012
[12] C-C Lin L-C Kuo and H-R Chuang ldquoA horizontally polar-ized omnidirectional printed antenna for WLAN applicationsrdquoIEEE Transactions on Antennas and Propagation vol 54 no 11pp 3551ndash3556 2006
[13] Y Li Z Zhang and Z Feng ldquoA leaky wave slot antennaarray using single metal layer with azimuthally omnidirectionalpatternrdquo Progress in Electromagnetics Research vol 140 pp 199ndash212 2013
[14] X Chen K Huang and X-B Xu ldquoA novel planar slot arrayantenna with omnidirectional patternrdquo IEEE Transactions onAntennas and Propagation vol 59 no 12 pp 4853ndash4857 2011
[15] Y Li Z Zhang Z Feng and M F Iskander ldquoDesign of penta-band omnidirectional slot antenna with slender columnarstructurerdquo IEEE Transactions on Antennas and Propagation vol62 no 2 pp 594ndash601 2014
[16] A Y Svezhentsev P J Soh S Yan V Volskiy and G A E Van-denbosch ldquoOmnidirectional horizontally-polarized cylindricalmicrostrip antenna with two parasitic patchesrdquo in Proceedingsof the IEEE Antennas and Propagation Society InternationalSymposium (APSURSI rsquo14) pp 1863ndash1864 IEEE MemphisTenn USA July 2014
[17] S S Zhong ldquoSlot antenna and microstrip antennardquo in Proceed-ings of the 8th International Conference on Antenna Theory andTechniques (ICATT rsquo11) Section 1 pp 272ndash274 Beijing ChinaSeptember 2011
International Journal of
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Active and Passive Electronic Components
Control Scienceand Engineering
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International Journal of
RotatingMachinery
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporation httpwwwhindawicom
Journal ofEngineeringVolume 2014
Submit your manuscripts athttpwwwhindawicom
VLSI Design
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Shock and Vibration
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Civil EngineeringAdvances in
Acoustics and VibrationAdvances in
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Electrical and Computer Engineering
Journal of
Advances inOptoElectronics
Hindawi Publishing Corporation httpwwwhindawicom
Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
SensorsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Chemical EngineeringInternational Journal of Antennas and
Propagation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Navigation and Observation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
DistributedSensor Networks
International Journal of
4 International Journal of Antennas and Propagation
1
2
r1
r2
r
120579
120579
120579
d2
d2
z
y
Figure 2 Geometry of a two-element array lying along the 119911-axis
Table 2 Roundness and gain variation against physical length 1198971015840
119892 Physical length 1198971015840 (mm) Roundness Gain variation (dBi)
2 1205822 0 infin
4 1205824 025 606 1205826 056 248 1205828 073 1410 12058210 082 0816 12058216 093 0320 12058220 095 02
Since effective length 119897 is a little bit longer than physicallength 119897
1015840 and effective length 119897 is in proportion to physicallength 119897
1015840 it is tenable using physical length 1198971015840 to replace
effective length 119897 in (5) Thus for the two-element array ofconstant amplitude approximate formula for directivity as afunction of the directional angles in 119910-119911 plane is representedby
119863 = 1198630cos4 (
11989601198971015840
2sin 120579) (6)
where1198630is the maximum directivity
Suggest that physical length 1198971015840= 120582119892 where119892 represents a
parameter Roundness of radiation pattern is 119877 = 119863min119863maxand gain variation around the 119864-plane is 119881 = |10 sdot log119877| dBi
Table 2 shows the formula calculated roundness and gainvariation against physical length 119897
1015840 Taking 1198971015840 equal to 1205824 for
example 119863min = 0251198630and 119863max = 119863
0 roundness 119877 =
119863min119863max = 025 and gain variation is 119881 = |10 sdot log(05)| asymp6 dBi Roundness and gain variationwith some other physicallength 119897
1015840 are calculated by using the same procedure shownin Table 2 Roundness and gain variation against physicallength 119897
1015840 are plotted in Figure 3 It is clearly seen that asphysical length 119897
1015840 decreases the roundness increases and gainvariation decreases
From Table 2 and Figure 3 the following results are clear(a) the back-to-back microstrip antenna radiates omnidi-rectional pattern (b) by decreasing the physical length 119897
1015840
6
6 8 10 12 14 16 18 20
5
4
4
3
2
2
1
0
10
08
06
04
02
00
Gai
n va
riatio
n (d
B)
Roun
dnes
s
RoundnessGain variation
g(l998400 = 120582g)
Figure 3 Roundness and gain variation against 1198971015840
g = 2g = 4g = 6
g = 10
g = 16
0
30
60
90
120
150
180
210
240
270
300
330
10
10
08
08
06
06
04
04
02
02
00
Figure 4 Formula calculated normalized radiation pattern on 119910-119911plane against 1198971015840
roundness increases and gain variation decreases In generalphysical length 119897
1015840 of patch is less than 1205822 and it can bedecreased by increasing dielectric constant of substrate Inthis way gain variation of the omnidirectional pattern will bedecreased and better omnidirectional radiation pattern willbe achieved by using higher permittivity material as shownin Figure 4 However it is well known that such patch sizereduction often brings decreased bandwidth increased losses(lower efficiency) and matching problems so selecting aproper substrate dielectric constant and physical length 119897
1015840 isquit important to achieve better antenna performance Thereare three ways to increase antenna impedance bandwidth(1) increasing substrate thickness (2) using U-slot wideband
International Journal of Antennas and Propagation 5
Table 3 Comparison of gain variations
Physical length 1198971015840 By formula (dBi) By HFSS (dBi)
Patch number 1 615mm 0323 120582 111 70Patch number 2 441mm 0232 120582 5 31Patch number 3 314mm 0165 120582 24 10Patch number 4 252mm 0132 120582 154 08
0 25 50
(mm)
X
YZ
Figure 5 Model of simplified antenna structure
patch to replace rectangular patch and (3) using H-shapedpatch to decrease patch physical length without increasingsubstrate dielectric constant
In order to verify the accuracy of formula (6) calculateddirectivity in 119910-119911 plane of the proposed antenna gainvariation comparisons between formula calculated andHFSSsimulated are made For simplifying the simulation process-ing power divider is removed from designed antenna twopatches are excited by two ports with the same amplitude andphase as shown in Figure 5 By choosing different substratedielectric constant different physical length 119897
1015840 is got anddifferent gain variation on main radiation plane is obtained
There are total of four different patches whose physicallength is shown in Table 3 physical length 119897
10158401 of patch
number 1 is 615mm with substrate dielectric constant 120576119903
that is 2 11989710158402 of patch number 2 is 441mm with substrate 120576119903
that is 4 11989710158403 of patch number 3 is 314mm with substrate 120576119903
that is 8 11989710158404 of patch number 4 is 252mm with substrate120576119903 that is 12 Four antennas from number 1 to number
4 are working in the same center frequency 235GHzNormalized simulated radiation patterns (by Ansoft HFSS)in 119910-119911 plane with different patches length are indicated inFigure 6 It is clearly seen that as physical length decreasesbetter omnidirectional performance is obtained which hasthe same variation tendency as formula (6) calculated results
Table 3 summarizes the specified numeric comparison offormula (6) calculated gain variation and HFSS simulatedgain variation by given different patches physical lengthPhysical length 119897
1015840 of patch number 4 is 252mm which isnearly 119897
1015840asymp 0132 120582 thus 119863min = 1426119863
0and 119863max = 119863
0
0
30
60
90
120
150
180
210
240
270
300
330
10
10
08
08
06
06
04
04
02
02
00
Number 1Number 2
Number 3Number 4
Figure 6 HFSS simulated normalized radiation pattern in 119910-119911plane
so roundness 119877 = 119863min119863max = 1426 and calculated gainvariation is119881 = |10sdotlog(0078)| asymp 154 dBi By using the sameprocedure gain variation of other patches physical length canbe calculated as shown in Table 3
Gain variation difference between formula calculated andHFSS simulated results is shown in Figure 6 Gain variationdifference of patch number 1 is 41 dBi and those of patchnumber 2 patch number 3 and patch number 4 are 19 dBi14 dBi and 074 dBi respectively (Figure 7) As physicallength is getting smaller less difference between formulacalculated result and HFSS simulated result is achievedBoth results show that better gain variation performance isobtained as patch physical length is getting shorter
4 Simulated and Measured Results
In this section several numerical simulations are conductedusing Ansoft HFSS to validate the performance of the pro-posed algorithm Better omnidirectional performance of thisantenna can be obtained by increasing substrate dielectricconstant to reduce patch physical length However suchpatch length reduction often brings decreased bandwidthincreased losses (lower efficiency) and matching problems
6 International Journal of Antennas and Propagation
12
10
8
6
4
2
00 1 2 3 4 5
Patch_Number
By formulaBy HFSS
Gai
n_Va
riatio
n (d
B)
Figure 7 Gain variation difference in 119910-119911 plane
Figure 8 Designed antenna
Therefore we set the substrate dielectric constant as 120576119903
=
16 to optimize antenna performance And the optimizedparameters of the antenna are as follows 119886 = 6mm 119887 =32mm 119888 = 16mm 119890 = 935mm 119908 = 221mm 1198971015840 = 221mmℎ = 65mm ℎ1 = 105mm ℎ2 = 29mm ℎ3 = 10mm 1199081 =25mm 1199082 = 12mm and 1199083 = 25mm
Figure 8 illustrates the realization of the designed hori-zontally polarized omnidirectionalmicrostrip antenna with aSMA connector Both the simulated and measured values ofthe designed antennarsquos 119878
11parameter are shown in Figure 9 It
is clear that the band-width of the antenna is about 16 (from1562GHz to 1587GHz) with center frequency 1575GHzand measured result agrees well with the simulated one Notethat bandwidth of designed antenna is narrow one feasibleway to overcome narrow bandwidth performance is to usewideband U-slot patch to replace square patch
Simulated three-dimensional radiation pattern of thedesigned antenna is shown in Figure 10 Peak gain of thedesigned antenna is about 22 dBi It is obvious that theradiation pattern is omnidirectional in 119910-119911 plane and thegain variation in 119910-119911 plane is less than plusmn04 dBi
0
minus5
minus10
minus15
minus20
minus25
S 11
(dB)
1530 1545 1560 1575 1590 1605 1620
Frequency (GHz)
Measured_S11Simulated_S11
Figure 9 Simulated and measured 11987811
International Journal of Antennas and Propagation 7
Y
X
dB (g
ain
tota
l)
22557e + 00035204e minus 001minus15516e + 000minus34552e + 000minus53588e + 000minus72624e + 000minus91660e + 000minus11070e + 001minus12973e + 001minus14877e + 001minus16780e + 001minus18684e + 001minus20588e + 001minus22491e + 001minus24395e + 001minus26299e + 001minus28202e + 001
Phi
Figure 10 Three-dimensional radiation pattern
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_E-planeMeasured_E-plane
(a)
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
minus30
minus40
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_H-planeMeasured_H-plane
(b)
Figure 11 Simulated and measured radiation pattern (a) 119864-plane (b)119867-plane
Figures 11(a) and 11(b) depict the simulated andmeasuredmain polarization pattern and cross polarization pattern in119864-plane and119867-plane respectively Peak gain of the designedantenna is about 22 dBi antenna efficiency is higher than90 in the operating band According to the simulationresults the gain variation in119864-plane pattern is about 058 dBiwhile the measured gain variation is about 08 dBi andcross polarization level is minus20 dBi lower than that of mainpolarization
Figure 12 shows the simulated radiation patterns ofdesigned antenna in this paper and dipole antenna in119864-planeand 119867-plane Both designed antenna and dipole antennacan obtain omnidirectional radiation pattern Peak gainsof those two antennas are almost the same but antennain this paper is with better omnidirectional performance
Moreover designed antenna is horizontally polarized ratherthan vertically polarized
5 Conclusion
A new horizontally polarized omnidirectional microstripantenna is presented in this paper Formula of directivity asa function of the directional angles in main lobe radiationplane of designed antenna is deduced Better omnidirectionalcharacteristic of this antenna can be obtained by increasingsubstrate dielectric constant or decreasing patch physicallength Both simulated andmeasured experiments are carriedout to verify the performance of the proposed antenna archi-tecture It has been shown that the peak gain is about 22 dBithe antenna efficiency is higher than 90 in operating band
8 International Journal of Antennas and Propagation
0
30
60
90
120
150
180
210
240
270
300
3305
5
0
0
minus5
minus5
minus10
minus10
minus15
minus15
minus20
minus20
minus25
Designed antenna_H-planeDesigned antenna_E-plane
Dipole antenna_H-planeDipole antenna_E-plane
Figure 12 Simulated radiation patterns of designed antenna anddipole antenna
and the cross polarization level is minus20 dBi lower than that ofmain polarization Moreover the 119864-plane gain variation ofthe designed antenna is less than plusmn04 dBi which indicates asatisfactory omnidirectional radiation pattern
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
Acknowledgments
This work was supported in part by the National NaturalScience Foundation of China (no 61271416 no 61301093and no 61501376) the Fundamental Research Funds forthe Central Universities (no 3102014KYJD027) and NPUFoundation for Fundamental Research (no JCY20130132)
References
[1] A Chen T Jiang Z Chen and D Su ldquoA novel low-profilewideband UHF antennardquo Progress in Electromagnetics Researchvol 121 pp 75ndash88 2011
[2] T J Judasz and B B Balsley ldquoImproved theoretical andexperimental models for the coaxial colinear antennardquo IEEETransactions on Antennas and Propagation vol 37 no 3 pp289ndash296 1989
[3] M Sierra-Perez F L Heras-Andres and J A G de LopeldquoLow-cost printed collinear array antennardquo IEEE Antennas andPropagation Magazine vol 43 no 5 pp 23ndash30 2001
[4] H-Y Xu H Zhang K Lu and X-F Zeng ldquoA holly-leaf-shapedmonopole antenna with low RCS for UWB applicationrdquoProgress in Electromagnetics Research vol 117 pp 35ndash50 2011
[5] P Li K M Luk and K L Lau ldquoAn omnidirectional highgain microstrip antenna array mounted on a circular cylinderrdquoin Proceedings of the IEEE Antennas and Propagation SocietyInternational Symposium vol 4 pp 698ndash701 Columbus OhioUSA June 2003
[6] A Narbudowicz X Bao M Ammann H Shakhtour and DHeberling ldquoCircularly polarized antenna with steerable dipole-like radiation patternrdquo IEEE Transactions on Antennas andPropagation vol 62 no 2 pp 519ndash526 2014
[7] H Iwasaki ldquoA back-to-back rectangular-patch antenna fed by aCPWrdquo IEEE Transactions on Antennas and Propagation vol 46no 10 pp 1527ndash1530 1998
[8] D I Wu ldquoOmnidirectional circularly-polarized conformalmicrostrip array for telemetry applicationsrdquo in Proceedings ofthe Antennas and Propagation Society International Symposiumvol 2 pp 998ndash1001 Newport Beach Calif USA June 1995
[9] K Wei J-Y Li L Wang and Z Xing ldquoA new omnidirectionalcircular polarization microstip antennardquo Progress in Electro-magnetics Research Letters vol 53 pp 45ndash50 2015
[10] S Wang and H Arai ldquoA horizontally polarized notch arrayantenna with good radiation identity in horizontal plane andits characteristic modes analysisrdquo in Proceedings of the IEEEAntennas and Propagation Society International Symposium pp1073ndash1074 IEEE Memphis Tenn USA July 2014
[11] X L Quan R L Li J Y Wang and Y H Cui ldquoDevelopmentof a broadband horizontally polarized omnidirectional planarantenna and its array for base stationsrdquo Progress in Electromag-netics Research vol 128 pp 441ndash456 2012
[12] C-C Lin L-C Kuo and H-R Chuang ldquoA horizontally polar-ized omnidirectional printed antenna for WLAN applicationsrdquoIEEE Transactions on Antennas and Propagation vol 54 no 11pp 3551ndash3556 2006
[13] Y Li Z Zhang and Z Feng ldquoA leaky wave slot antennaarray using single metal layer with azimuthally omnidirectionalpatternrdquo Progress in Electromagnetics Research vol 140 pp 199ndash212 2013
[14] X Chen K Huang and X-B Xu ldquoA novel planar slot arrayantenna with omnidirectional patternrdquo IEEE Transactions onAntennas and Propagation vol 59 no 12 pp 4853ndash4857 2011
[15] Y Li Z Zhang Z Feng and M F Iskander ldquoDesign of penta-band omnidirectional slot antenna with slender columnarstructurerdquo IEEE Transactions on Antennas and Propagation vol62 no 2 pp 594ndash601 2014
[16] A Y Svezhentsev P J Soh S Yan V Volskiy and G A E Van-denbosch ldquoOmnidirectional horizontally-polarized cylindricalmicrostrip antenna with two parasitic patchesrdquo in Proceedingsof the IEEE Antennas and Propagation Society InternationalSymposium (APSURSI rsquo14) pp 1863ndash1864 IEEE MemphisTenn USA July 2014
[17] S S Zhong ldquoSlot antenna and microstrip antennardquo in Proceed-ings of the 8th International Conference on Antenna Theory andTechniques (ICATT rsquo11) Section 1 pp 272ndash274 Beijing ChinaSeptember 2011
International Journal of
AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
RoboticsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Active and Passive Electronic Components
Control Scienceand Engineering
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
RotatingMachinery
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporation httpwwwhindawicom
Journal ofEngineeringVolume 2014
Submit your manuscripts athttpwwwhindawicom
VLSI Design
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Shock and Vibration
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Civil EngineeringAdvances in
Acoustics and VibrationAdvances in
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Electrical and Computer Engineering
Journal of
Advances inOptoElectronics
Hindawi Publishing Corporation httpwwwhindawicom
Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
SensorsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Chemical EngineeringInternational Journal of Antennas and
Propagation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Navigation and Observation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
DistributedSensor Networks
International Journal of
International Journal of Antennas and Propagation 5
Table 3 Comparison of gain variations
Physical length 1198971015840 By formula (dBi) By HFSS (dBi)
Patch number 1 615mm 0323 120582 111 70Patch number 2 441mm 0232 120582 5 31Patch number 3 314mm 0165 120582 24 10Patch number 4 252mm 0132 120582 154 08
0 25 50
(mm)
X
YZ
Figure 5 Model of simplified antenna structure
patch to replace rectangular patch and (3) using H-shapedpatch to decrease patch physical length without increasingsubstrate dielectric constant
In order to verify the accuracy of formula (6) calculateddirectivity in 119910-119911 plane of the proposed antenna gainvariation comparisons between formula calculated andHFSSsimulated are made For simplifying the simulation process-ing power divider is removed from designed antenna twopatches are excited by two ports with the same amplitude andphase as shown in Figure 5 By choosing different substratedielectric constant different physical length 119897
1015840 is got anddifferent gain variation on main radiation plane is obtained
There are total of four different patches whose physicallength is shown in Table 3 physical length 119897
10158401 of patch
number 1 is 615mm with substrate dielectric constant 120576119903
that is 2 11989710158402 of patch number 2 is 441mm with substrate 120576119903
that is 4 11989710158403 of patch number 3 is 314mm with substrate 120576119903
that is 8 11989710158404 of patch number 4 is 252mm with substrate120576119903 that is 12 Four antennas from number 1 to number
4 are working in the same center frequency 235GHzNormalized simulated radiation patterns (by Ansoft HFSS)in 119910-119911 plane with different patches length are indicated inFigure 6 It is clearly seen that as physical length decreasesbetter omnidirectional performance is obtained which hasthe same variation tendency as formula (6) calculated results
Table 3 summarizes the specified numeric comparison offormula (6) calculated gain variation and HFSS simulatedgain variation by given different patches physical lengthPhysical length 119897
1015840 of patch number 4 is 252mm which isnearly 119897
1015840asymp 0132 120582 thus 119863min = 1426119863
0and 119863max = 119863
0
0
30
60
90
120
150
180
210
240
270
300
330
10
10
08
08
06
06
04
04
02
02
00
Number 1Number 2
Number 3Number 4
Figure 6 HFSS simulated normalized radiation pattern in 119910-119911plane
so roundness 119877 = 119863min119863max = 1426 and calculated gainvariation is119881 = |10sdotlog(0078)| asymp 154 dBi By using the sameprocedure gain variation of other patches physical length canbe calculated as shown in Table 3
Gain variation difference between formula calculated andHFSS simulated results is shown in Figure 6 Gain variationdifference of patch number 1 is 41 dBi and those of patchnumber 2 patch number 3 and patch number 4 are 19 dBi14 dBi and 074 dBi respectively (Figure 7) As physicallength is getting smaller less difference between formulacalculated result and HFSS simulated result is achievedBoth results show that better gain variation performance isobtained as patch physical length is getting shorter
4 Simulated and Measured Results
In this section several numerical simulations are conductedusing Ansoft HFSS to validate the performance of the pro-posed algorithm Better omnidirectional performance of thisantenna can be obtained by increasing substrate dielectricconstant to reduce patch physical length However suchpatch length reduction often brings decreased bandwidthincreased losses (lower efficiency) and matching problems
6 International Journal of Antennas and Propagation
12
10
8
6
4
2
00 1 2 3 4 5
Patch_Number
By formulaBy HFSS
Gai
n_Va
riatio
n (d
B)
Figure 7 Gain variation difference in 119910-119911 plane
Figure 8 Designed antenna
Therefore we set the substrate dielectric constant as 120576119903
=
16 to optimize antenna performance And the optimizedparameters of the antenna are as follows 119886 = 6mm 119887 =32mm 119888 = 16mm 119890 = 935mm 119908 = 221mm 1198971015840 = 221mmℎ = 65mm ℎ1 = 105mm ℎ2 = 29mm ℎ3 = 10mm 1199081 =25mm 1199082 = 12mm and 1199083 = 25mm
Figure 8 illustrates the realization of the designed hori-zontally polarized omnidirectionalmicrostrip antenna with aSMA connector Both the simulated and measured values ofthe designed antennarsquos 119878
11parameter are shown in Figure 9 It
is clear that the band-width of the antenna is about 16 (from1562GHz to 1587GHz) with center frequency 1575GHzand measured result agrees well with the simulated one Notethat bandwidth of designed antenna is narrow one feasibleway to overcome narrow bandwidth performance is to usewideband U-slot patch to replace square patch
Simulated three-dimensional radiation pattern of thedesigned antenna is shown in Figure 10 Peak gain of thedesigned antenna is about 22 dBi It is obvious that theradiation pattern is omnidirectional in 119910-119911 plane and thegain variation in 119910-119911 plane is less than plusmn04 dBi
0
minus5
minus10
minus15
minus20
minus25
S 11
(dB)
1530 1545 1560 1575 1590 1605 1620
Frequency (GHz)
Measured_S11Simulated_S11
Figure 9 Simulated and measured 11987811
International Journal of Antennas and Propagation 7
Y
X
dB (g
ain
tota
l)
22557e + 00035204e minus 001minus15516e + 000minus34552e + 000minus53588e + 000minus72624e + 000minus91660e + 000minus11070e + 001minus12973e + 001minus14877e + 001minus16780e + 001minus18684e + 001minus20588e + 001minus22491e + 001minus24395e + 001minus26299e + 001minus28202e + 001
Phi
Figure 10 Three-dimensional radiation pattern
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_E-planeMeasured_E-plane
(a)
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
minus30
minus40
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_H-planeMeasured_H-plane
(b)
Figure 11 Simulated and measured radiation pattern (a) 119864-plane (b)119867-plane
Figures 11(a) and 11(b) depict the simulated andmeasuredmain polarization pattern and cross polarization pattern in119864-plane and119867-plane respectively Peak gain of the designedantenna is about 22 dBi antenna efficiency is higher than90 in the operating band According to the simulationresults the gain variation in119864-plane pattern is about 058 dBiwhile the measured gain variation is about 08 dBi andcross polarization level is minus20 dBi lower than that of mainpolarization
Figure 12 shows the simulated radiation patterns ofdesigned antenna in this paper and dipole antenna in119864-planeand 119867-plane Both designed antenna and dipole antennacan obtain omnidirectional radiation pattern Peak gainsof those two antennas are almost the same but antennain this paper is with better omnidirectional performance
Moreover designed antenna is horizontally polarized ratherthan vertically polarized
5 Conclusion
A new horizontally polarized omnidirectional microstripantenna is presented in this paper Formula of directivity asa function of the directional angles in main lobe radiationplane of designed antenna is deduced Better omnidirectionalcharacteristic of this antenna can be obtained by increasingsubstrate dielectric constant or decreasing patch physicallength Both simulated andmeasured experiments are carriedout to verify the performance of the proposed antenna archi-tecture It has been shown that the peak gain is about 22 dBithe antenna efficiency is higher than 90 in operating band
8 International Journal of Antennas and Propagation
0
30
60
90
120
150
180
210
240
270
300
3305
5
0
0
minus5
minus5
minus10
minus10
minus15
minus15
minus20
minus20
minus25
Designed antenna_H-planeDesigned antenna_E-plane
Dipole antenna_H-planeDipole antenna_E-plane
Figure 12 Simulated radiation patterns of designed antenna anddipole antenna
and the cross polarization level is minus20 dBi lower than that ofmain polarization Moreover the 119864-plane gain variation ofthe designed antenna is less than plusmn04 dBi which indicates asatisfactory omnidirectional radiation pattern
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
Acknowledgments
This work was supported in part by the National NaturalScience Foundation of China (no 61271416 no 61301093and no 61501376) the Fundamental Research Funds forthe Central Universities (no 3102014KYJD027) and NPUFoundation for Fundamental Research (no JCY20130132)
References
[1] A Chen T Jiang Z Chen and D Su ldquoA novel low-profilewideband UHF antennardquo Progress in Electromagnetics Researchvol 121 pp 75ndash88 2011
[2] T J Judasz and B B Balsley ldquoImproved theoretical andexperimental models for the coaxial colinear antennardquo IEEETransactions on Antennas and Propagation vol 37 no 3 pp289ndash296 1989
[3] M Sierra-Perez F L Heras-Andres and J A G de LopeldquoLow-cost printed collinear array antennardquo IEEE Antennas andPropagation Magazine vol 43 no 5 pp 23ndash30 2001
[4] H-Y Xu H Zhang K Lu and X-F Zeng ldquoA holly-leaf-shapedmonopole antenna with low RCS for UWB applicationrdquoProgress in Electromagnetics Research vol 117 pp 35ndash50 2011
[5] P Li K M Luk and K L Lau ldquoAn omnidirectional highgain microstrip antenna array mounted on a circular cylinderrdquoin Proceedings of the IEEE Antennas and Propagation SocietyInternational Symposium vol 4 pp 698ndash701 Columbus OhioUSA June 2003
[6] A Narbudowicz X Bao M Ammann H Shakhtour and DHeberling ldquoCircularly polarized antenna with steerable dipole-like radiation patternrdquo IEEE Transactions on Antennas andPropagation vol 62 no 2 pp 519ndash526 2014
[7] H Iwasaki ldquoA back-to-back rectangular-patch antenna fed by aCPWrdquo IEEE Transactions on Antennas and Propagation vol 46no 10 pp 1527ndash1530 1998
[8] D I Wu ldquoOmnidirectional circularly-polarized conformalmicrostrip array for telemetry applicationsrdquo in Proceedings ofthe Antennas and Propagation Society International Symposiumvol 2 pp 998ndash1001 Newport Beach Calif USA June 1995
[9] K Wei J-Y Li L Wang and Z Xing ldquoA new omnidirectionalcircular polarization microstip antennardquo Progress in Electro-magnetics Research Letters vol 53 pp 45ndash50 2015
[10] S Wang and H Arai ldquoA horizontally polarized notch arrayantenna with good radiation identity in horizontal plane andits characteristic modes analysisrdquo in Proceedings of the IEEEAntennas and Propagation Society International Symposium pp1073ndash1074 IEEE Memphis Tenn USA July 2014
[11] X L Quan R L Li J Y Wang and Y H Cui ldquoDevelopmentof a broadband horizontally polarized omnidirectional planarantenna and its array for base stationsrdquo Progress in Electromag-netics Research vol 128 pp 441ndash456 2012
[12] C-C Lin L-C Kuo and H-R Chuang ldquoA horizontally polar-ized omnidirectional printed antenna for WLAN applicationsrdquoIEEE Transactions on Antennas and Propagation vol 54 no 11pp 3551ndash3556 2006
[13] Y Li Z Zhang and Z Feng ldquoA leaky wave slot antennaarray using single metal layer with azimuthally omnidirectionalpatternrdquo Progress in Electromagnetics Research vol 140 pp 199ndash212 2013
[14] X Chen K Huang and X-B Xu ldquoA novel planar slot arrayantenna with omnidirectional patternrdquo IEEE Transactions onAntennas and Propagation vol 59 no 12 pp 4853ndash4857 2011
[15] Y Li Z Zhang Z Feng and M F Iskander ldquoDesign of penta-band omnidirectional slot antenna with slender columnarstructurerdquo IEEE Transactions on Antennas and Propagation vol62 no 2 pp 594ndash601 2014
[16] A Y Svezhentsev P J Soh S Yan V Volskiy and G A E Van-denbosch ldquoOmnidirectional horizontally-polarized cylindricalmicrostrip antenna with two parasitic patchesrdquo in Proceedingsof the IEEE Antennas and Propagation Society InternationalSymposium (APSURSI rsquo14) pp 1863ndash1864 IEEE MemphisTenn USA July 2014
[17] S S Zhong ldquoSlot antenna and microstrip antennardquo in Proceed-ings of the 8th International Conference on Antenna Theory andTechniques (ICATT rsquo11) Section 1 pp 272ndash274 Beijing ChinaSeptember 2011
International Journal of
AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
RoboticsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Active and Passive Electronic Components
Control Scienceand Engineering
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
RotatingMachinery
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporation httpwwwhindawicom
Journal ofEngineeringVolume 2014
Submit your manuscripts athttpwwwhindawicom
VLSI Design
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Shock and Vibration
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Civil EngineeringAdvances in
Acoustics and VibrationAdvances in
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Electrical and Computer Engineering
Journal of
Advances inOptoElectronics
Hindawi Publishing Corporation httpwwwhindawicom
Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
SensorsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Chemical EngineeringInternational Journal of Antennas and
Propagation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Navigation and Observation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
DistributedSensor Networks
International Journal of
6 International Journal of Antennas and Propagation
12
10
8
6
4
2
00 1 2 3 4 5
Patch_Number
By formulaBy HFSS
Gai
n_Va
riatio
n (d
B)
Figure 7 Gain variation difference in 119910-119911 plane
Figure 8 Designed antenna
Therefore we set the substrate dielectric constant as 120576119903
=
16 to optimize antenna performance And the optimizedparameters of the antenna are as follows 119886 = 6mm 119887 =32mm 119888 = 16mm 119890 = 935mm 119908 = 221mm 1198971015840 = 221mmℎ = 65mm ℎ1 = 105mm ℎ2 = 29mm ℎ3 = 10mm 1199081 =25mm 1199082 = 12mm and 1199083 = 25mm
Figure 8 illustrates the realization of the designed hori-zontally polarized omnidirectionalmicrostrip antenna with aSMA connector Both the simulated and measured values ofthe designed antennarsquos 119878
11parameter are shown in Figure 9 It
is clear that the band-width of the antenna is about 16 (from1562GHz to 1587GHz) with center frequency 1575GHzand measured result agrees well with the simulated one Notethat bandwidth of designed antenna is narrow one feasibleway to overcome narrow bandwidth performance is to usewideband U-slot patch to replace square patch
Simulated three-dimensional radiation pattern of thedesigned antenna is shown in Figure 10 Peak gain of thedesigned antenna is about 22 dBi It is obvious that theradiation pattern is omnidirectional in 119910-119911 plane and thegain variation in 119910-119911 plane is less than plusmn04 dBi
0
minus5
minus10
minus15
minus20
minus25
S 11
(dB)
1530 1545 1560 1575 1590 1605 1620
Frequency (GHz)
Measured_S11Simulated_S11
Figure 9 Simulated and measured 11987811
International Journal of Antennas and Propagation 7
Y
X
dB (g
ain
tota
l)
22557e + 00035204e minus 001minus15516e + 000minus34552e + 000minus53588e + 000minus72624e + 000minus91660e + 000minus11070e + 001minus12973e + 001minus14877e + 001minus16780e + 001minus18684e + 001minus20588e + 001minus22491e + 001minus24395e + 001minus26299e + 001minus28202e + 001
Phi
Figure 10 Three-dimensional radiation pattern
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_E-planeMeasured_E-plane
(a)
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
minus30
minus40
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_H-planeMeasured_H-plane
(b)
Figure 11 Simulated and measured radiation pattern (a) 119864-plane (b)119867-plane
Figures 11(a) and 11(b) depict the simulated andmeasuredmain polarization pattern and cross polarization pattern in119864-plane and119867-plane respectively Peak gain of the designedantenna is about 22 dBi antenna efficiency is higher than90 in the operating band According to the simulationresults the gain variation in119864-plane pattern is about 058 dBiwhile the measured gain variation is about 08 dBi andcross polarization level is minus20 dBi lower than that of mainpolarization
Figure 12 shows the simulated radiation patterns ofdesigned antenna in this paper and dipole antenna in119864-planeand 119867-plane Both designed antenna and dipole antennacan obtain omnidirectional radiation pattern Peak gainsof those two antennas are almost the same but antennain this paper is with better omnidirectional performance
Moreover designed antenna is horizontally polarized ratherthan vertically polarized
5 Conclusion
A new horizontally polarized omnidirectional microstripantenna is presented in this paper Formula of directivity asa function of the directional angles in main lobe radiationplane of designed antenna is deduced Better omnidirectionalcharacteristic of this antenna can be obtained by increasingsubstrate dielectric constant or decreasing patch physicallength Both simulated andmeasured experiments are carriedout to verify the performance of the proposed antenna archi-tecture It has been shown that the peak gain is about 22 dBithe antenna efficiency is higher than 90 in operating band
8 International Journal of Antennas and Propagation
0
30
60
90
120
150
180
210
240
270
300
3305
5
0
0
minus5
minus5
minus10
minus10
minus15
minus15
minus20
minus20
minus25
Designed antenna_H-planeDesigned antenna_E-plane
Dipole antenna_H-planeDipole antenna_E-plane
Figure 12 Simulated radiation patterns of designed antenna anddipole antenna
and the cross polarization level is minus20 dBi lower than that ofmain polarization Moreover the 119864-plane gain variation ofthe designed antenna is less than plusmn04 dBi which indicates asatisfactory omnidirectional radiation pattern
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
Acknowledgments
This work was supported in part by the National NaturalScience Foundation of China (no 61271416 no 61301093and no 61501376) the Fundamental Research Funds forthe Central Universities (no 3102014KYJD027) and NPUFoundation for Fundamental Research (no JCY20130132)
References
[1] A Chen T Jiang Z Chen and D Su ldquoA novel low-profilewideband UHF antennardquo Progress in Electromagnetics Researchvol 121 pp 75ndash88 2011
[2] T J Judasz and B B Balsley ldquoImproved theoretical andexperimental models for the coaxial colinear antennardquo IEEETransactions on Antennas and Propagation vol 37 no 3 pp289ndash296 1989
[3] M Sierra-Perez F L Heras-Andres and J A G de LopeldquoLow-cost printed collinear array antennardquo IEEE Antennas andPropagation Magazine vol 43 no 5 pp 23ndash30 2001
[4] H-Y Xu H Zhang K Lu and X-F Zeng ldquoA holly-leaf-shapedmonopole antenna with low RCS for UWB applicationrdquoProgress in Electromagnetics Research vol 117 pp 35ndash50 2011
[5] P Li K M Luk and K L Lau ldquoAn omnidirectional highgain microstrip antenna array mounted on a circular cylinderrdquoin Proceedings of the IEEE Antennas and Propagation SocietyInternational Symposium vol 4 pp 698ndash701 Columbus OhioUSA June 2003
[6] A Narbudowicz X Bao M Ammann H Shakhtour and DHeberling ldquoCircularly polarized antenna with steerable dipole-like radiation patternrdquo IEEE Transactions on Antennas andPropagation vol 62 no 2 pp 519ndash526 2014
[7] H Iwasaki ldquoA back-to-back rectangular-patch antenna fed by aCPWrdquo IEEE Transactions on Antennas and Propagation vol 46no 10 pp 1527ndash1530 1998
[8] D I Wu ldquoOmnidirectional circularly-polarized conformalmicrostrip array for telemetry applicationsrdquo in Proceedings ofthe Antennas and Propagation Society International Symposiumvol 2 pp 998ndash1001 Newport Beach Calif USA June 1995
[9] K Wei J-Y Li L Wang and Z Xing ldquoA new omnidirectionalcircular polarization microstip antennardquo Progress in Electro-magnetics Research Letters vol 53 pp 45ndash50 2015
[10] S Wang and H Arai ldquoA horizontally polarized notch arrayantenna with good radiation identity in horizontal plane andits characteristic modes analysisrdquo in Proceedings of the IEEEAntennas and Propagation Society International Symposium pp1073ndash1074 IEEE Memphis Tenn USA July 2014
[11] X L Quan R L Li J Y Wang and Y H Cui ldquoDevelopmentof a broadband horizontally polarized omnidirectional planarantenna and its array for base stationsrdquo Progress in Electromag-netics Research vol 128 pp 441ndash456 2012
[12] C-C Lin L-C Kuo and H-R Chuang ldquoA horizontally polar-ized omnidirectional printed antenna for WLAN applicationsrdquoIEEE Transactions on Antennas and Propagation vol 54 no 11pp 3551ndash3556 2006
[13] Y Li Z Zhang and Z Feng ldquoA leaky wave slot antennaarray using single metal layer with azimuthally omnidirectionalpatternrdquo Progress in Electromagnetics Research vol 140 pp 199ndash212 2013
[14] X Chen K Huang and X-B Xu ldquoA novel planar slot arrayantenna with omnidirectional patternrdquo IEEE Transactions onAntennas and Propagation vol 59 no 12 pp 4853ndash4857 2011
[15] Y Li Z Zhang Z Feng and M F Iskander ldquoDesign of penta-band omnidirectional slot antenna with slender columnarstructurerdquo IEEE Transactions on Antennas and Propagation vol62 no 2 pp 594ndash601 2014
[16] A Y Svezhentsev P J Soh S Yan V Volskiy and G A E Van-denbosch ldquoOmnidirectional horizontally-polarized cylindricalmicrostrip antenna with two parasitic patchesrdquo in Proceedingsof the IEEE Antennas and Propagation Society InternationalSymposium (APSURSI rsquo14) pp 1863ndash1864 IEEE MemphisTenn USA July 2014
[17] S S Zhong ldquoSlot antenna and microstrip antennardquo in Proceed-ings of the 8th International Conference on Antenna Theory andTechniques (ICATT rsquo11) Section 1 pp 272ndash274 Beijing ChinaSeptember 2011
International Journal of
AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
RoboticsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Active and Passive Electronic Components
Control Scienceand Engineering
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
RotatingMachinery
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporation httpwwwhindawicom
Journal ofEngineeringVolume 2014
Submit your manuscripts athttpwwwhindawicom
VLSI Design
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Shock and Vibration
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Civil EngineeringAdvances in
Acoustics and VibrationAdvances in
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Electrical and Computer Engineering
Journal of
Advances inOptoElectronics
Hindawi Publishing Corporation httpwwwhindawicom
Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
SensorsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Chemical EngineeringInternational Journal of Antennas and
Propagation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Navigation and Observation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
DistributedSensor Networks
International Journal of
International Journal of Antennas and Propagation 7
Y
X
dB (g
ain
tota
l)
22557e + 00035204e minus 001minus15516e + 000minus34552e + 000minus53588e + 000minus72624e + 000minus91660e + 000minus11070e + 001minus12973e + 001minus14877e + 001minus16780e + 001minus18684e + 001minus20588e + 001minus22491e + 001minus24395e + 001minus26299e + 001minus28202e + 001
Phi
Figure 10 Three-dimensional radiation pattern
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_E-planeMeasured_E-plane
(a)
0
30
60
90
120
150
180
210
240
270
300
33010
10
0
0
minus10
minus10
minus20
minus20
minus30
minus30
minus40
Simulated_Cross polarizationMeasured_Cross polarization
Simulated_H-planeMeasured_H-plane
(b)
Figure 11 Simulated and measured radiation pattern (a) 119864-plane (b)119867-plane
Figures 11(a) and 11(b) depict the simulated andmeasuredmain polarization pattern and cross polarization pattern in119864-plane and119867-plane respectively Peak gain of the designedantenna is about 22 dBi antenna efficiency is higher than90 in the operating band According to the simulationresults the gain variation in119864-plane pattern is about 058 dBiwhile the measured gain variation is about 08 dBi andcross polarization level is minus20 dBi lower than that of mainpolarization
Figure 12 shows the simulated radiation patterns ofdesigned antenna in this paper and dipole antenna in119864-planeand 119867-plane Both designed antenna and dipole antennacan obtain omnidirectional radiation pattern Peak gainsof those two antennas are almost the same but antennain this paper is with better omnidirectional performance
Moreover designed antenna is horizontally polarized ratherthan vertically polarized
5 Conclusion
A new horizontally polarized omnidirectional microstripantenna is presented in this paper Formula of directivity asa function of the directional angles in main lobe radiationplane of designed antenna is deduced Better omnidirectionalcharacteristic of this antenna can be obtained by increasingsubstrate dielectric constant or decreasing patch physicallength Both simulated andmeasured experiments are carriedout to verify the performance of the proposed antenna archi-tecture It has been shown that the peak gain is about 22 dBithe antenna efficiency is higher than 90 in operating band
8 International Journal of Antennas and Propagation
0
30
60
90
120
150
180
210
240
270
300
3305
5
0
0
minus5
minus5
minus10
minus10
minus15
minus15
minus20
minus20
minus25
Designed antenna_H-planeDesigned antenna_E-plane
Dipole antenna_H-planeDipole antenna_E-plane
Figure 12 Simulated radiation patterns of designed antenna anddipole antenna
and the cross polarization level is minus20 dBi lower than that ofmain polarization Moreover the 119864-plane gain variation ofthe designed antenna is less than plusmn04 dBi which indicates asatisfactory omnidirectional radiation pattern
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
Acknowledgments
This work was supported in part by the National NaturalScience Foundation of China (no 61271416 no 61301093and no 61501376) the Fundamental Research Funds forthe Central Universities (no 3102014KYJD027) and NPUFoundation for Fundamental Research (no JCY20130132)
References
[1] A Chen T Jiang Z Chen and D Su ldquoA novel low-profilewideband UHF antennardquo Progress in Electromagnetics Researchvol 121 pp 75ndash88 2011
[2] T J Judasz and B B Balsley ldquoImproved theoretical andexperimental models for the coaxial colinear antennardquo IEEETransactions on Antennas and Propagation vol 37 no 3 pp289ndash296 1989
[3] M Sierra-Perez F L Heras-Andres and J A G de LopeldquoLow-cost printed collinear array antennardquo IEEE Antennas andPropagation Magazine vol 43 no 5 pp 23ndash30 2001
[4] H-Y Xu H Zhang K Lu and X-F Zeng ldquoA holly-leaf-shapedmonopole antenna with low RCS for UWB applicationrdquoProgress in Electromagnetics Research vol 117 pp 35ndash50 2011
[5] P Li K M Luk and K L Lau ldquoAn omnidirectional highgain microstrip antenna array mounted on a circular cylinderrdquoin Proceedings of the IEEE Antennas and Propagation SocietyInternational Symposium vol 4 pp 698ndash701 Columbus OhioUSA June 2003
[6] A Narbudowicz X Bao M Ammann H Shakhtour and DHeberling ldquoCircularly polarized antenna with steerable dipole-like radiation patternrdquo IEEE Transactions on Antennas andPropagation vol 62 no 2 pp 519ndash526 2014
[7] H Iwasaki ldquoA back-to-back rectangular-patch antenna fed by aCPWrdquo IEEE Transactions on Antennas and Propagation vol 46no 10 pp 1527ndash1530 1998
[8] D I Wu ldquoOmnidirectional circularly-polarized conformalmicrostrip array for telemetry applicationsrdquo in Proceedings ofthe Antennas and Propagation Society International Symposiumvol 2 pp 998ndash1001 Newport Beach Calif USA June 1995
[9] K Wei J-Y Li L Wang and Z Xing ldquoA new omnidirectionalcircular polarization microstip antennardquo Progress in Electro-magnetics Research Letters vol 53 pp 45ndash50 2015
[10] S Wang and H Arai ldquoA horizontally polarized notch arrayantenna with good radiation identity in horizontal plane andits characteristic modes analysisrdquo in Proceedings of the IEEEAntennas and Propagation Society International Symposium pp1073ndash1074 IEEE Memphis Tenn USA July 2014
[11] X L Quan R L Li J Y Wang and Y H Cui ldquoDevelopmentof a broadband horizontally polarized omnidirectional planarantenna and its array for base stationsrdquo Progress in Electromag-netics Research vol 128 pp 441ndash456 2012
[12] C-C Lin L-C Kuo and H-R Chuang ldquoA horizontally polar-ized omnidirectional printed antenna for WLAN applicationsrdquoIEEE Transactions on Antennas and Propagation vol 54 no 11pp 3551ndash3556 2006
[13] Y Li Z Zhang and Z Feng ldquoA leaky wave slot antennaarray using single metal layer with azimuthally omnidirectionalpatternrdquo Progress in Electromagnetics Research vol 140 pp 199ndash212 2013
[14] X Chen K Huang and X-B Xu ldquoA novel planar slot arrayantenna with omnidirectional patternrdquo IEEE Transactions onAntennas and Propagation vol 59 no 12 pp 4853ndash4857 2011
[15] Y Li Z Zhang Z Feng and M F Iskander ldquoDesign of penta-band omnidirectional slot antenna with slender columnarstructurerdquo IEEE Transactions on Antennas and Propagation vol62 no 2 pp 594ndash601 2014
[16] A Y Svezhentsev P J Soh S Yan V Volskiy and G A E Van-denbosch ldquoOmnidirectional horizontally-polarized cylindricalmicrostrip antenna with two parasitic patchesrdquo in Proceedingsof the IEEE Antennas and Propagation Society InternationalSymposium (APSURSI rsquo14) pp 1863ndash1864 IEEE MemphisTenn USA July 2014
[17] S S Zhong ldquoSlot antenna and microstrip antennardquo in Proceed-ings of the 8th International Conference on Antenna Theory andTechniques (ICATT rsquo11) Section 1 pp 272ndash274 Beijing ChinaSeptember 2011
International Journal of
AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
RoboticsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Active and Passive Electronic Components
Control Scienceand Engineering
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
RotatingMachinery
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporation httpwwwhindawicom
Journal ofEngineeringVolume 2014
Submit your manuscripts athttpwwwhindawicom
VLSI Design
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Shock and Vibration
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Civil EngineeringAdvances in
Acoustics and VibrationAdvances in
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Electrical and Computer Engineering
Journal of
Advances inOptoElectronics
Hindawi Publishing Corporation httpwwwhindawicom
Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
SensorsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Chemical EngineeringInternational Journal of Antennas and
Propagation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Navigation and Observation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
DistributedSensor Networks
International Journal of
8 International Journal of Antennas and Propagation
0
30
60
90
120
150
180
210
240
270
300
3305
5
0
0
minus5
minus5
minus10
minus10
minus15
minus15
minus20
minus20
minus25
Designed antenna_H-planeDesigned antenna_E-plane
Dipole antenna_H-planeDipole antenna_E-plane
Figure 12 Simulated radiation patterns of designed antenna anddipole antenna
and the cross polarization level is minus20 dBi lower than that ofmain polarization Moreover the 119864-plane gain variation ofthe designed antenna is less than plusmn04 dBi which indicates asatisfactory omnidirectional radiation pattern
Conflict of Interests
The authors declare that there is no conflict of interestsregarding the publication of this paper
Acknowledgments
This work was supported in part by the National NaturalScience Foundation of China (no 61271416 no 61301093and no 61501376) the Fundamental Research Funds forthe Central Universities (no 3102014KYJD027) and NPUFoundation for Fundamental Research (no JCY20130132)
References
[1] A Chen T Jiang Z Chen and D Su ldquoA novel low-profilewideband UHF antennardquo Progress in Electromagnetics Researchvol 121 pp 75ndash88 2011
[2] T J Judasz and B B Balsley ldquoImproved theoretical andexperimental models for the coaxial colinear antennardquo IEEETransactions on Antennas and Propagation vol 37 no 3 pp289ndash296 1989
[3] M Sierra-Perez F L Heras-Andres and J A G de LopeldquoLow-cost printed collinear array antennardquo IEEE Antennas andPropagation Magazine vol 43 no 5 pp 23ndash30 2001
[4] H-Y Xu H Zhang K Lu and X-F Zeng ldquoA holly-leaf-shapedmonopole antenna with low RCS for UWB applicationrdquoProgress in Electromagnetics Research vol 117 pp 35ndash50 2011
[5] P Li K M Luk and K L Lau ldquoAn omnidirectional highgain microstrip antenna array mounted on a circular cylinderrdquoin Proceedings of the IEEE Antennas and Propagation SocietyInternational Symposium vol 4 pp 698ndash701 Columbus OhioUSA June 2003
[6] A Narbudowicz X Bao M Ammann H Shakhtour and DHeberling ldquoCircularly polarized antenna with steerable dipole-like radiation patternrdquo IEEE Transactions on Antennas andPropagation vol 62 no 2 pp 519ndash526 2014
[7] H Iwasaki ldquoA back-to-back rectangular-patch antenna fed by aCPWrdquo IEEE Transactions on Antennas and Propagation vol 46no 10 pp 1527ndash1530 1998
[8] D I Wu ldquoOmnidirectional circularly-polarized conformalmicrostrip array for telemetry applicationsrdquo in Proceedings ofthe Antennas and Propagation Society International Symposiumvol 2 pp 998ndash1001 Newport Beach Calif USA June 1995
[9] K Wei J-Y Li L Wang and Z Xing ldquoA new omnidirectionalcircular polarization microstip antennardquo Progress in Electro-magnetics Research Letters vol 53 pp 45ndash50 2015
[10] S Wang and H Arai ldquoA horizontally polarized notch arrayantenna with good radiation identity in horizontal plane andits characteristic modes analysisrdquo in Proceedings of the IEEEAntennas and Propagation Society International Symposium pp1073ndash1074 IEEE Memphis Tenn USA July 2014
[11] X L Quan R L Li J Y Wang and Y H Cui ldquoDevelopmentof a broadband horizontally polarized omnidirectional planarantenna and its array for base stationsrdquo Progress in Electromag-netics Research vol 128 pp 441ndash456 2012
[12] C-C Lin L-C Kuo and H-R Chuang ldquoA horizontally polar-ized omnidirectional printed antenna for WLAN applicationsrdquoIEEE Transactions on Antennas and Propagation vol 54 no 11pp 3551ndash3556 2006
[13] Y Li Z Zhang and Z Feng ldquoA leaky wave slot antennaarray using single metal layer with azimuthally omnidirectionalpatternrdquo Progress in Electromagnetics Research vol 140 pp 199ndash212 2013
[14] X Chen K Huang and X-B Xu ldquoA novel planar slot arrayantenna with omnidirectional patternrdquo IEEE Transactions onAntennas and Propagation vol 59 no 12 pp 4853ndash4857 2011
[15] Y Li Z Zhang Z Feng and M F Iskander ldquoDesign of penta-band omnidirectional slot antenna with slender columnarstructurerdquo IEEE Transactions on Antennas and Propagation vol62 no 2 pp 594ndash601 2014
[16] A Y Svezhentsev P J Soh S Yan V Volskiy and G A E Van-denbosch ldquoOmnidirectional horizontally-polarized cylindricalmicrostrip antenna with two parasitic patchesrdquo in Proceedingsof the IEEE Antennas and Propagation Society InternationalSymposium (APSURSI rsquo14) pp 1863ndash1864 IEEE MemphisTenn USA July 2014
[17] S S Zhong ldquoSlot antenna and microstrip antennardquo in Proceed-ings of the 8th International Conference on Antenna Theory andTechniques (ICATT rsquo11) Section 1 pp 272ndash274 Beijing ChinaSeptember 2011
International Journal of
AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
RoboticsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Active and Passive Electronic Components
Control Scienceand Engineering
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
RotatingMachinery
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporation httpwwwhindawicom
Journal ofEngineeringVolume 2014
Submit your manuscripts athttpwwwhindawicom
VLSI Design
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Shock and Vibration
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Civil EngineeringAdvances in
Acoustics and VibrationAdvances in
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Electrical and Computer Engineering
Journal of
Advances inOptoElectronics
Hindawi Publishing Corporation httpwwwhindawicom
Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
SensorsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Chemical EngineeringInternational Journal of Antennas and
Propagation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Navigation and Observation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
DistributedSensor Networks
International Journal of
International Journal of
AerospaceEngineeringHindawi Publishing Corporationhttpwwwhindawicom Volume 2014
RoboticsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Active and Passive Electronic Components
Control Scienceand Engineering
Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
International Journal of
RotatingMachinery
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporation httpwwwhindawicom
Journal ofEngineeringVolume 2014
Submit your manuscripts athttpwwwhindawicom
VLSI Design
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Shock and Vibration
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Civil EngineeringAdvances in
Acoustics and VibrationAdvances in
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Electrical and Computer Engineering
Journal of
Advances inOptoElectronics
Hindawi Publishing Corporation httpwwwhindawicom
Volume 2014
The Scientific World JournalHindawi Publishing Corporation httpwwwhindawicom Volume 2014
SensorsJournal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Modelling amp Simulation in EngineeringHindawi Publishing Corporation httpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Chemical EngineeringInternational Journal of Antennas and
Propagation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
Navigation and Observation
International Journal of
Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014
DistributedSensor Networks
International Journal of