Analysis of Microstrip Antennas using The Volume Surface Integral Equation Formulation and the Pre-Corrected Fast Fourier Transform Method

Authors

  • Ke Xiao College of Electronic Science and Engineering National University of Defense Technology, Changsha, Hunan, 410073, China
  • Ya-Nan Li College of Electronic Science and Engineering National University of Defense Technology, Changsha, Hunan, 410073, China
  • Fei Zhao College of Electronic Science and Engineering National University of Defense Technology, Changsha, Hunan, 410073, China
  • Shun-Lian Chai College of Electronic Science and Engineering National University of Defense Technology, Changsha, Hunan, 410073, China
  • Jun-Jie Mao College of Electronic Science and Engineering National University of Defense Technology, Changsha, Hunan, 410073, China

Keywords:

Analysis of Microstrip Antennas using The Volume Surface Integral Equation Formulation and the Pre-Corrected Fast Fourier Transform Method

Abstract

A rigorous and effective analysis based on the volume-surface integral equation (VSIE) formulation and pre-corrected-fast Fourier transform method (P-FFT) is presented for the problems of finite microstrip antennas which are modeled by combined conducting and dielectric materials. Several typical microstrip antennas and conformal microstrip antenna arrays are reconsidered; the comparisons of results from calculation and measurement validate the algorithm. Different feed methods are also considered to excite the antennas and conformal arrays. All the problems could be solved on a small computer with high efficiency and good precision.

Downloads

Download data is not yet available.

References

C. T. Tai,Dyadic Green's Functions in

Electromagnetic Theory, CA: Intext Educational

Publishers, San Francisco, 1971.

B. R. Piper and N. V. Shuley, “The Design of

Spherical Conformal Antennas using Customized

Techiniques Based on NURBS,” IEEE Antennas

Propagat. Magazine, vol. 51, no. 2, pp. 48-60,

W. J. Zhao, L. W. Li, and K. Xiao, “Analysis of

Electromagnetic Scattering and Radiation from

Finite Microstrip Structures using an EFIE-

PMCHWT Formulation,” IEEE Trans. Antennas

Propagat., vol. 58, no. 7, pp. 2468-2473, 2010.

T. W. Dawson, S. Velamparambil, and M. A.

Stuchly, “Hybrid Integral Equation and Finite

Difference Method for Low-Frequency Electric

Induction,” Applied Computational Electro-

magnetics Society Journal, vol. 16, no. 3, pp.

-227, Nov. 2001.

T. K. Sarkar and E. Arvas, “An Integral Equation

Approach to theAnalysis of Finite Microstrip

Antennas: Volume/Surface Formulation,” IEEE

Trans. Antennas Propagat., vol. 38, no.3, pp.

-312, 1990.

C. C. Lu and C. Luo, “Comparison of Iteration

Convergences of SIE and VSIE forSolving

Electromagnetic Scattering Problems for Coated

Objects,” Radio Sci., vol. 38, no. 2, pp. 11-1-11-

, 2003.

M. -K. Li and W. C. Chew, “Wave-Field

Interaction with Complex Structures using

Equivalence Principle Algorithm,” IEEE Trans.

Antennas Propagat., vol. 55, no. 1, pp. 130-138,

R. Mittra, “Characteristic Basis Function Method

(CBFM)- An Iteration-Free Domain

ACES JOURNAL, VOL. 26, NO. 11, NOVEMBER 2011

Decomposition Approach in Computational

Electromagentics,” Applied Computational

Electromagnetics Society Journal, vol. 24, no. 2,

pp. 204-223, Apr. 2009.

C. Tom, P. Jonathan, and P.Jean, “Method of

Moment Solutions to Scattering Problems in a

Parallel Processing Environment,” IEEE Trans.

on Magnetics., vol. 27, no. 5, pp. 3837-3840,

F. C. Manuel, G. Emilio, and N. Luis, “A

Numerical Scheme to Obtain the RCS of Three –

Dimensional Bodies of Resonant Size using the

Conjugate Gradient Method and the Fast Fourier

Transform,” IEEE Trans. Antennas Propagat.,

vol. 37, no. 5, pp. 528-537, 1989.

N. Engheta, W. D. Murphy, V. Rokhlin, and M.

S. Vassiliou, “The Fast Multipole Method (FMM)

for Electromagnetic Scattering Problems,” IEEE

Trans. Antennas Propagat., vol. 40, no. 6, pp.

-641, 1992.

J. M. Song, C. C. Lu, and W. C. Chew,

“Multilevel Fast Multipole Algorithm for

Electromagnetic Scattering by Large Complex

Objects,” IEEE Trans. Antennas Propagat., vol.

, no. 10, pp. 1488-1493, 1997.

E. Bleszynski, M. Bleszynski, and T.

Jaroszewicz, “Adaptive Integral Method for

Solving Large-Scale Electromagnetic Scattering

and Radiation Problems,” Radio Sci., vol. 31, no.

, pp. 1225-1251, 1996.

N. Yuan, T. S. Yeo, X. C. Nie, Y. B. Gan, and L.

-W. Li, “A Fast Analysis of Scattering and

Radiation of Large Microstrip Antenna Arrays,”

IEEE Trans. Antennas Propagat., vol. 51, no. 9,

pp. 2218-2226, 2003.

N. Yuan, T. S. Yeo, X. C. Nie, Y. B. Gan, and L.

–W. Li, “Analysis of Probe-Fed Conformal

Microstrip Antennas on Finite Grounded

Substrate,” IEEE Trans. Antennas Propagat., vol.

, no. 2, pp. 554-563, 2006.

X. C. Nie, L. –W. Li, and N. Yuan,

“Precorrected-FFT Algorithm for Solving

Combined Field Integral Equations in

Electromagnetic Scattering,” Journal of

Electromagnetic Waves and Applications, vol. 16,

no. 8, pp. 1171-1187, 2002.

S. N. Makarov, S. D. Kulkarni, A. G. Marut, and

L. C. Kempel, “Method of Moments Solution for

a Printed Patch/Slot Antenna on aThin Finite

Dielectric Substrate using theVolume Integral

Equation,” IEEE Trans. Antennas Propagat., vol.

, no. 4, pp. 1174-1183, 2006.

Z. A. Maricevic and T. K. Sarkar, “Analysis and

Measurements of Arbitrarily Shaped Open

Microstrip Structures,” Progress in Electro-

magnetics Research, PIER, vol. 15, pp. 253-301,

S. M. Rao, D. R. Wilton, and A. W. Glisson,

“Electromagnetic Scattering by Surfaces of

Arbitrary Shape,” IEEE Trans. Antennas

Propagat., vol. 30, no. 3, pp. 409-418, 1982.

D. H. Schaubert, D. R. Wilton, and A. W.

Glisson, “A Tetrahedral Modeling Method for

Electromagnetic Scattering by Arbitrarily Shaped

Inhomogeneous Dielectric Bodies,” IEEE Trans.

Antennas Propagat., vol. 32, no. 1, pp. 77-85,

D. R. Wilton, S. M. Rao, A. W. Glisson, D. H.

Schaubert, O. M. Al-Bundak, and C. M. Butler,

“Potential Integrals for Uniform and Linear

Source Distributions on Polygonal and Polyhedral

Domains,” IEEE Trans. Antennas Propagat., vol.

, no. 3, pp. 276-281, 1984.

Y. Saad, Iterative methods for sparse linear

systems, Philadelphia: SIAM, 2nd ed. 2003.

C. A. Balanis,Advanced Engineering Electro-

magentics, John Wiley & Sons, New York, 1989.

R. F. Harrington, Field Computation by Moment

Methods, New York, Macmillan, 1968.

N. –B. Jin and Y. Rahmat-Samii, “Parallel

Particle Swarm Optimization and Finite-

Difference Time-Domain (PSO/FDTD)

Algorithm for Multi-Band and Wide-Band Patch

Antenna Designs,” IEEE Trans. Antennas

Propagat., vol. 53, no. 11, pp. 3459-3468, 2005.

K. Tatsuya, O. Teruo, and F. Ichiro, “Analysis of

Microstrip Antennas on aCurved Surface using

the Conformal Grids FD-TD Method,” IEEE

Trans. Antennas Propagat., vol. 42, no. 3, pp.

-427, 1994.

K. –L. Wong and G. –B. Hsieh, “Curvature

Effects on theRadiation Patterns of Cylindrical

Microstrip Arrays,” Microwave Opt. Technol.

lett., vol. 18, no. 3, pp. 206-209, 1998.

T. Weiland, M. Timm, and I. Munteanu, “A

Practical Guide to 3-D Simulation,” IEEE

Microwave Magazine, vol. 9, no. 6, pp. 62-75,

Z. A. Maricevic and T. K. Sarkar, “Analysis and

Measurements of Arbitrarily Shaped Open

Microstrip Structures,” Progress In Electro-

magnetics Research, PIER, vol. 15, pp. 253-301,

N. Yuan, T. S. Yeo, X. C. Nie, L. –W. Li, and Y.

B. Gan, “Efficient Analysis of Electromagnetic

Scattering and Radiation from Patches on Finite,

Arbitrarily Curved, Grounded Substrates,” Radio

Sci., vol. 39, no.3, pp. RS3003-1-RS3003-13,

Downloads

Published

2022-05-02

How to Cite

[1]
K. . Xiao, Y.-N. . Li, F. . Zhao, S.-L. . Chai, and J.-J. . Mao, “Analysis of Microstrip Antennas using The Volume Surface Integral Equation Formulation and the Pre-Corrected Fast Fourier Transform Method”, ACES Journal, vol. 26, no. 11, pp. 922–928, May 2022.

Issue

2011: Vol 26 Iss 11

Section

General Submission