Hybrid PMM-MoM Method for the Analysis of Finite Periodic Structures

Shan Zhao, Naiqian Zhang, Dong Li, Jianxun Su

Department of Microwave Technology East China Research Institute of Electronic Engineering Hefei, China.
Information Engineering College Communication University of China Beijing, China.

DOI: 10.4236/ojapps.2012.24B040                

Abstract

In this paper, a hybrid method (hybrid PMM-MoM method) is presented for the effective and accurate analysis of finite periodic structures. This method divides a finite periodic structure into two parts. The inner part of an approximate infinite periodic structure is analyzed by periodic method of moment (PMM); the outer part is then analyzed by method of moments (MoM). For the finite periodic structures, the accuracy of the new method is much better than that of the pure PMM, and is almost the same as that of pure MoM. Because pure PMM uses the periodic boundary conditions, it takes much less memory resources and computation time. For hybrid PMM-MoM method, because the inner part is calculated by PMM, the calculation work concentrates on the outer part. Consequently, compared with the exact MoM, the new method saves much more memory resources and computation time, which provides a drastic reduction of unknowns.

Keywords

hybrid method; PMM-MoM; infinite Periodic Structures; RCS

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Munk B A．Finite Array Antennas and FSS [M], New York: Wiley, 2003．
[2]	R. Mittra, C. H. Chan. T. Cwik, "Techniques for analyzing frequency selective surface- a review," Proceeding of the IEEE, vol. 76, no. 12, 1988, pp. 1593-1615.
[3]	A. Qing, "VECTOR SPECTRAL-DOMAIN METHOD FOR THE ANALYSIS OF FREQUENCY SELECTIVE SURFACES", Progress In Electromagnetics Research, PIER 65, 201–232, 2006
[4]	T. K. Wu, "Frequency selective surface and grid array," John Wiley & Sons, Inc Wiley, 1995.
[5]	Kim Mcinturff and Peter S. Simon, "The Fourier transform of linearly varying functions with polygonal support," IEEE Trans. Antennas and Propagation, vol. 39, no.9, 1991, pp.144 -1443.
[6]	Chen, H., L. Ran, J. Huangfu, X. M. Zhang, K. Cheng, T. M. Grzegorczyk, and J. A. Kong, "Magnetic properties of S-shaped split-ring resonators," Progress In Electromagnetics Research, PIER 51, 231–247, 2005.
[7]	S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surface of arbitrary shape,"IEEE Trans. Antennas and Propagation, vol. 30, no.3, 1982, pp.409-411.
[8]	J. M. Taboada, M. G. Araujo, J. M. Bertolo, L. Landesa, F. Obelleiro, and J. L. Rodriguez, "MLFMA-FFT Parallel Algorithm for the Solution of Large-Scale Problems in Electromagnetics(INVITED PAPER)", Progress In Electromagnetics Research, PIER 105, 15-30, 2010.
[9]	Tasinkevych. Y, "EM SCATTERING BY THE PARALLEL PLATE WAVEGUIDE ARRAY WITH THICK WALLS FOR OBLIQUE INCIDENCE", Journal of Electromagnetic Waves & Applications, Sep2009, Vol. 23 Issue 11/12, pp.1611-1621.