EMC
oS L
td.
27 P
ekin
Stre
et, T
bilis
i, 01
60, G
eorg
iaPh
one:
+99
5-32
-238
9091
E-m
ail:
info
@em
cos.
com
ww
w.e
mco
s.co
m
This application demonstrates modeling of fractal antennas within EMC Studio / EMCoS Antenna VLab environment. The triangular shaped fractal, Sierpinski gasket monopole antenna is considered. Structure of this antenna is intended to be use for four discrete frequency bands.Simulated resonance frequencies of the Sierpinski gasket monopole an-tenna are compared with analytical solution.
Introduction
Simulation Model Description
Fractal antennaS SIMulatIon
Sierpinski gasket with largest side length (s) of 102.7683 mm or a height (h) of 88.9 mm is considered. The substrate thickness is 1.588 mm, and relative permittivity is 2.5.
EMC
Stud
io/E
MCo
S A
nten
na V
Lab
EMC Studio/EMCoS Antenna VLab Application Note: #16
Sierpinski Gasket Monopole Antenna (Different Iterations)
1-st Iteration 2-nd Iteration 3-rd Iteration 4-th Iteration
Sierpinski Gasket Monopole Antenna
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Analytic Estimation of Resonance Frequencies:
Feeding
Height (h)
Side length (s)
Parameter Value
Side length, s, [mm] 102.7683
Height, h, [mm] 88.9
Substrate thickness, [mm] 1.588
Relative permittivity 2.5
Fractal Antenna. Sierpinski Gasket Monopole
EMC
oS L
td.
27 P
ekin
Stre
et, T
bilis
i, 01
60, G
eorg
iaPh
one:
+99
5-32
-238
9091
E-m
ail:
info
@em
cos.
com
ww
w.e
mco
s.co
m Fractal antenna simulations can be effectively done in EMC Studio and EMCoS Antenna VLab environment
Simulated characteristics of Sierpinski gasket monopole antenna are in good agreement with analytical results
conclusions
results
Fractal antennaS SIMulatIonEM
C St
udio
/EM
CoS
Ant
enna
VLa
b
EMC Studio/EMCoS Antenna VLab Application Note: #16
4-th Frequency Band. Vertical Polarization 4-th Frequency Band. Horizontal Polarization
Total Electric Field Distribution
1-st Frequency Band 2-nd Frequency Band 3-rd Frequency Band 4-th Frequency Band
Band No. Resonance frequency, [GHz] Bandwidth, [%]
Analytical Solution EMC Studio EMC Studio
0 0.51 0.54 35.6
1 1.74 1.72 23.7
2 3.47 3.54 36.1
3 6.94 7.09 38.9
R. K. Mishra, R. Ghatak, and D. R. Poddar, “Design formula for Sierpinski gasket pre-fractal planar-monopole antennas,” IEEE Antennas Propag. Mag., vol. 50, no. 3, pp. 104-107, Jun. 2008.
references
Reflection Coefficient (All Iterations)
0.51 1.74 3.47 6.94 10-35
-30
-25
-20
-15
-10
-5
0
Frequency [GHz]
S11
para
met
er[d
B]
1-st iteration2-nd iteration3-rd iretation4-th iteration
0.51 1.74 3.47 6.94 10-25
-20
-15
-10
-5
0
S11
para
met
er[d
B]
Frequency [GHz]
Band 1
Band 2
Band 3 Band 4
Reflection Coefficient (4-th Iteration)
The resonance frequencies of the Sierpinski gasket monopole antenna obtained from the analytical formulas and simulated in EMC Studio / EMCoS Antenna VLab are shown in table.
%1002 ⋅+−
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BW
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