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EMCoS Ltd. 27 Pekin Street, Tbilisi, 0160, Georgia Phone: +995-32-2389091 E-mail: [email protected] www.emcos.com 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 Studio/EMCoS Antenna VLab 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 ( ) speed light is c geometry of factor scale the is t s s s h k k x n for h c n for h c x fr r e e e n e n e 230735 . 0 1 2 ) ( , 2 3 0 , 1 0 , 0 0 26 . 0 0 ) 34 . 0 15345 . 0 ( 5 . 0 1 - = = = + = = > = = > = + = - - ξ ρ δ ξ δ ε δ ξ ρ 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

Introduction Fractal Antenna. Sierpinski Gasket Monopole EMC Studio/EMCoS Antenna … · 2017-07-04 · EMCoS Ltd. 27 Pekin Street, Tbilisi, 0160, Georgia Phone: +995-32-2389091 E-mail:

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Text of Introduction Fractal Antenna. Sierpinski Gasket Monopole EMC Studio/EMCoS Antenna … ·...

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    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.

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    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

    www.emcos.com

  • EMC

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    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

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    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

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    1-st iteration2-nd iteration3-rd iretation4-th iteration

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    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.

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    www.emcos.com