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8/3/2019 Antenna Intro
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IntroductionIntroduction
to Antennasto Antennas
Dr. Sandra CruzDr. Sandra Cruz--PolPolElectrical and Computer EngineeringElectrical and Computer Engineering
University of Puerto Rico at MayaguezUniversity of Puerto Rico at Mayaguez
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What is an antenna?What is an antenna?
An antenna is aAn antenna is a passive structurepassive structure thatthatserves as transition between aserves as transition between atransmission linetransmission line andand airair used toused to
transmit and/or receive electromagnetictransmit and/or receive electromagneticwaves.waves.
Source
Tx
ReceiverCircuit
Rx
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AntennaAntenna
Ulaby, 1999
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Types of antennasTypes of antennas
Can be divided intoCan be divided into two groupstwo groups
WireWire antennas:antennas: dipoles, loops, Yagidipoles, loops, Yagi--UdaUda
ApertureAperture antennas:antennas: parabolic, horns, microstrip antennasparabolic, horns, microstrip antennas
http://www.kyes.com/antenna/antennatypes/antennatypes.html
http://en.wikipedia.org/wiki/Antenna_(electronics)#Overview
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Wire antennasWire antennas
YagiLog periodic
Yagi
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Wire antennasWire antennas
Log periodicLog periodic
YagiYagi--Uda with reflectorUda with reflector
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Aperture antennasAperture antennas
Spherical (main reflector)with Gregorian feed
Dipole with
parabolic andcorner reflector
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Reflector and Pyramidal hornReflector and Pyramidal horn
antennasantennas
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OutlineOutline
Antenna parametersAntenna parameters Solid angle,Solid angle, ;;
%%and Radiation intensity,and Radiation intensity, UU
Radiation pattern,Radiation pattern, PPnn,, sidelobessidelobes,, HPBWHPBW Far field zone,Far field zone, rrffff Directivity,Directivity, DD or Gain,or Gain, GG Antenna radiation impedance,Antenna radiation impedance, RRradrad Effective Area,Effective Area, AAee
All of these parameters are expressed in terms of aAll of these parameters are expressed in terms of atransmissiontransmission antenna, but are identicallyantenna, but are identicallyapplicable to aapplicable to a receivingreceiving antenna. Well alsoantenna. Well alsostudy:study:
FriisFriis Transmission EquationTransmission Equation Radar EquationRadar Equation
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Spherical coordinatesSpherical coordinates
z (zenith)
x
y
U
J
J= azimuth
U= elevationU=90
J=0
U=0
U=90
J=90
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Solid AngleSolid Angle
s1 = r dU s2 = rsin Uds = Ur= arco dA = s1 s2
dA = r2
sin U d dU=r2 d
U = ngulo plano d = elemento de ngulo slidoEl arco total en un crculo: El rea total en una esfera:
= 2Tr = 4Tr2
Angulo total: = 2T [radianes] Angulo slido total: =4T [rad2]
=4T [sr]1 steradian (sr) = (1 radian)2
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Radiation IntensityRadiation Intensity
Is theIs the powerdensitypowerdensity persolidanglepersolidangle::
vector.Poyntingasknown
alsodensitypowertheis
][W/mRe 2
r2
rH*}{E
where
rU
rv!
!
P
P [W/sr]
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Total radiated power by antennaTotal radiated power by antenna
Can be calculated as;Can be calculated as;
[W]
[W]
!
;!
dSP
or
dUP
rrad
rad
P
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Radiation PatternRadiation Pattern
Radiation pattern isRadiation pattern isthe 3D plot of thethe 3D plot of thegain, but usually thegain, but usually the2D horizontal and2D horizontal and
verticalvertical cross sectionscross sectionsof the radiationof the radiationpattern arepattern areconsidered.considered.
Refers to the variationRefers to the variationof the relativeof the relativeamplitude of theamplitude of theradiation as a functionradiation as a function
ofofdirectiondirection..
),(
),(
),(
),(),(
maxmax JU
JU
JU
JUJU
U
UFn !!
P
P
Field pattern:
Where U is the radiationintensity to be defined later.
),(
),(),(
max JU
JUJU
E
EEn !
Power pattern:
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TotalTotal Solid AngleSolid Angle of an antennaof an antenna
z
y
x
A
Patrn
|P |n
[sr]),(4
A ;!; dFnT
JU;A
Is as if you changed theradiationpatternbeam of an antenna
into a pencil beamshape and find outwhats the equivalentsolid angle occupied bythis pattern.
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Isotropic antennaIsotropic antenna
Its anIts an hypothetic antennahypothetic antenna,,i.e., it does not exist in reali.e., it does not exist in reallife, yet its used as alife, yet its used as ameasuring bar for realmeasuring bar for real
antenna characteristics.antenna characteristics.
Its a point source thatIts a point source thatoccupies a negligible space.occupies a negligible space.Has no directionalHas no directionalpreference.preference.
Its pattern is simply aIts pattern is simply a spheresphereso it hasso it has ;;AA==;;isotropicisotropic= 4= 4TT
??steradianssteradiansAA..
TJUUT
U
T
J
T
4sin)1(
)1(
0
2
0
4
isotropic
!
;!;
! !
dd
d
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Radiation PatternRadiation Pattern
Whenever weWhenever wespeak ofspeak ofradiationradiation
patterns, wepatterns, wenormally meannormally meanwe are at awe are at adistance fardistance far
enough fromenough fromthe antennathe antennaknown as theknown as thefarfieldfarfield..
_ 1
HPBW
-.25
-.7
|En|
- 0dB
-3dB
-10dB
| | | |HPBW
Patrn de campo o de potencia(Escalalogartmica)
Patrn de Campo(Escalalineal)
COORDENADAS RECTANGULARES
Patrnnormalizado
Note that when plotted indecibels, the power andfield patterns look exactly
the same.
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PatternPattern polarplotpolarplot
Lbulo
principal
.5
1
HPBW
Lbulosmenores
NNBW
("Mainlobe")
|Pn|
}
PATRON TIPICO(Coordenadas polares esfricas, 2 dimensiones)
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Dipole antenna patternDipole antenna pattern
Note the radiation pattern isdonut shaped.
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SidelobesSidelobes
Antennas sometimes showAntennas sometimes show sidelobessidelobes ininthe radiation pattern.the radiation pattern.
Side lobes are peaks in gain other thanSide lobes are peaks in gain other thanthe main lobe (the "beam").the main lobe (the "beam").
Side lobes have bad impact to theSide lobes have bad impact to the
antenna quality whenever the system isantenna quality whenever the system isbeing used to determine thebeing used to determine the directiondirection of aof asignal, for example insignal, for example in RADARRADAR systems.systems.
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Sidelobes of dipole arraysSidelobes of dipole arrays
sidelobe
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Antenna Pattern with sidelobesAntenna Pattern with sidelobes
Many applications require sidelobe levels
(SLL) to be below -20dB.
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Gain orDirectivityGain orDirectivity
An isotropic antenna and a practical antennafed with the same power. Their patterns
would compare as in the figure on the right.
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Directivity and GainDirectivity and Gain
All practical antennas radiate more than theAll practical antennas radiate more than theisotropic antenna in some directions and less inisotropic antenna in some directions and less inothers.others.
Gain is inherently directional; the gain of anGain is inherently directional; the gain of anantenna isantenna is usuallymeasuredinthedirectionusuallymeasuredinthedirectionwhichitradiates bestwhichitradiates best..
aveave /UUDD maxmaxmax /),( !!! PPJU
If lossless antenna, G=D
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Gain orDirectivityGain orDirectivity
Gain is measured by comparing anGain is measured by comparing anantenna to a model antenna,antenna to a model antenna,typically thetypically the isotropic antennaisotropic antenna whichwhichradiates equally in all directions.radiates equally in all directions.
rad
AVEP
r
dAA
D
),(4
1/),(
2 JUTJU
JU
P
P
),P(
PP !!!
//44
AisotropicAmax
;;!;!! TT
rad
o
P
UD
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DirectivityDirectivity
For an antenna with a single main lobeFor an antenna with a single main lobepointing in the zpointing in the z--direction ,direction , ;;AA can becan beapproximated to the product of the HPBWapproximated to the product of the HPBW
yzxz
yzxzA
D
then
FF
TT
FF
4/4 A $;!
$;
The Directivity:
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Far fieldFar field
The distance at which the fieldsThe distance at which the fieldstransmitted by an antenna (spherical)transmitted by an antenna (spherical)can be approximated to plane waves.can be approximated to plane waves.
Its defined asIts defined as
/2 2Drff !D = is the largest physical dimension of theantenna= wavelength of operation
rff= distance from the antenna to the observation
point
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Beamwidth,Beamwidth,HPBWHPBW
Is the distance in radians o degreesIs the distance in radians o degreesbetween the direction of thebetween the direction of theradiation pattern where the radiatedradiation pattern where the radiated
power is half of the maximum.power is half of the maximum. Can be found by solvingCan be found by solving FFnn((UJUJ)=.)=.55
DHPBM
dB-.
dB-.
o70
shape;beam"pencil"for
37070log20
350log10
}
!
!
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Antenna ImpedanceAntenna Impedance An antenna is seen" by the generator as a load withAn antenna is seen" by the generator as a load with
impedanceimpedance ZZAA,, connected to the line.connected to the line.
TherealpartistheradiationresistanceplustheTherealpartistheradiationresistanceplustheohmicresistanceohmicresistance.. Minimizing impedance differencesMinimizing impedance differences at each interface willat each interface will
reduce SWRreduce SWR andand maximize power transfermaximize power transfer through each partthrough each partof the antenna system.of the antenna system.
ComplexComplex impedance,impedance, ZZAA,, of an antenna is related to theof an antenna is related to the
electrical length of the antenna at the wavelength in use.electrical length of the antenna at the wavelength in use. The impedance of an antenna can be matched to the feed lineThe impedance of an antenna can be matched to the feed line
and radio by adjusting the impedance of the feed line, using theand radio by adjusting the impedance of the feed line, using thefeed line as an impedancefeed line as an impedance transformertransformer..
More commonly, the impedance is adjusted at the load (seeMore commonly, the impedance is adjusted at the load (seebelow) with anbelow) with an antenna tunerantenna tuner, a, a balunbalun, a matching transformer,, a matching transformer,matching networks composed ofmatching networks composed ofinductorsinductors andand capacitorscapacitors, or, ormatching sections such as the gamma match.matching sections such as the gamma match.
ALradA jXRRZ !ZA
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Antenna efficiency,Antenna efficiency,LL
EfficiencyEfficiency is the ratiois the ratioof power put into theof power put into theantenna terminals toantenna terminals tothe power actuallythe power actually
radiatedradiated Radiation in anRadiation in an
antenna is caused byantenna is caused byradiation resistanceradiation resistancewhich can only bewhich can only be
measured as part ofmeasured as part oftotaltotal resistanceresistanceincluding lossincluding lossresistance.resistance.
inrad P P!
DL!G
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Radiation ResistanceRadiation Resistance
The antenna is connected to a T.L., andThe antenna is connected to a T.L., andit sees it as an impedance.it sees it as an impedance.
The power radiated isThe power radiated is
The loss power isThe loss power is
lossradrad
lossradrad
RR
R
PP
P
!!L
radorad RIP 221!
Loloss RIP2
2
1!
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Radar equationRadar equation What is a radar?What is a radar?
Received power by a radar isReceived power by a radar is
WhereWhere WW is the backscattering coefficient of theis the backscattering coefficient of thetarget [mtarget [m22]]
XW
T
P 243
22
4
! e
R
GPP ootr
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APPLICATIONSAPPLICATIONS
Application to several researchApplication to several researchprojects: CASA, NASAprojects: CASA, NASA--FAR,FAR,
NASANASA--TCESSTCESS Show results from undergradsShow results from undergrads
working in NASA and NSFworking in NASA and NSF
projectsprojects Relation to Grad studentsRelation to Grad students
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Antenna polarizationAntenna polarization
TheThe polarizationpolarization of an antenna is theof an antenna is thepolarization of the signals it emits.polarization of the signals it emits. The ionosphere changes the polarization of signalsThe ionosphere changes the polarization of signals
unpredictably, so for signals which will beunpredictably, so for signals which will bereflected by the ionosphere, polarization is notreflected by the ionosphere, polarization is notcrucial.crucial.
However, for lineHowever, for line--ofof--sight communications, it cansight communications, it canmake a tremendous difference in signal quality tomake a tremendous difference in signal quality to
have the transmitter and receiver using the samehave the transmitter and receiver using the samepolarization.polarization. Polarizations commonly considered arePolarizations commonly considered are verticalvertical,,
horizontalhorizontal, and, and circularcircular..
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Antenna BandwidthAntenna Bandwidth
TheThe bandwidthbandwidth of an antenna is the range ofof an antenna is the range offrequencies over which it is effective,frequencies over which it is effective,usually centered around the operating orusually centered around the operating or
resonant frequency.resonant frequency.
The bandwidth of an antenna may be increasedThe bandwidth of an antenna may be increasedby several techniques, including using thickerby several techniques, including using thickerwires, replacing wires withwires, replacing wires with cagescages to simulate ato simulate a
thicker wire, tapering antenna components (like inthicker wire, tapering antenna components (like inaa feed hornfeed horn), and combining multiple antennas), and combining multiple antennasinto a single assembly and allowing the naturalinto a single assembly and allowing the naturalimpedance to select the correct antenna.impedance to select the correct antenna.
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Effective AreaEffective Area
How a Rx antenna extracts energyHow a Rx antenna extracts energyfrom incident wave and delivers it tofrom incident wave and delivers it toa load?a load?
Above is valid for any antenna underAbove is valid for any antenna undermatchedmatched--load conditionsload conditions
T
P
4
2DP
Ainc
rece !!
P
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Friis Transmission Eq.Friis Transmission Eq.
In any communication link, thereIn any communication link, thereis a transmitting antenna and ais a transmitting antenna and areceiver with a receiver antenna.receiver with a receiver antenna.
2
t
R4
P
T
!isotr
P
22
tt
2
tt
R
PA
R4
PG
PT!!! isotrttx PGP
22 R
PAA
APtrt
trrec !!P
2
trt
R4
PGG 2
T
P!recP
TX
RX
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ExampleExample
Radar and FriisRadar and Friis
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Antenna ArraysAntenna Arrays
Uses many antennas synchronizedUses many antennas synchronizedwith each other to increasewith each other to increase
Pattern multiplicationPattern multiplication
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ExampleExample
Determine the direction of maximumDetermine the direction of maximumradiation , pattern solid angle,radiation , pattern solid angle,directivity and HPBW in thedirectivity and HPBW in the yy--zz planeplane
for an antenna with normalizedfor an antenna with normalizedradiation intensity given byradiation intensity given by
elsewhere0
20and
2
0forcos
),(
2
eeee!
TJT
UU
JUF
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