Efficient methods for electromagnetic characterization of 2-D geometries in stratified media

Numerically efficient method of moments (MoM) algorithms are developed for and applied to 2-D geometries in multilayer media. These are, namely, the spatial-domain MoM in conjunction with the closed-form Green's functions, the spectral-domain MoM using the generalized pencil of functions (GPOF) algorithm and FFT algorithm to evaluate the MoM matrix entries. These approaches are mainly to improve the computational efficiency of the evaluation of the MoM matrix entries. Among these, the spectral-domain MoM using the GPOF algorithm is the most efficient approach for printed multilayer geometries. The assessment of the efficiency of this method is performed on several problems, by comparing the matrix fill times for these three approaches.

[1]  W. Chew Waves and Fields in Inhomogeneous Media , 1990 .

[2]  Nirod K. Das,et al.  A Generalized Spectral-Domain Green's Function for Multilayer Dielectric Substrates with Application to Multilayer Transmission Lines , 1987 .

[3]  J. Tsalamengas Direct singular integral equation methods in scattering and propagation in strip- or slot-loaded structures , 1998 .

[4]  R. Luebbers,et al.  The Finite Difference Time Domain Method for Electromagnetics , 1993 .

[5]  M. I. Aksun A robust approach for the derivation of closed-form Green's functions , 1996 .

[6]  Raj Mittra,et al.  Derivation of closed-form Green's functions for a general microstrip geometry , 1992 .

[7]  Y. Hua,et al.  Generalized pencil-of-function method for extracting poles of an EM system from its transient response , 1989 .

[8]  N. Kinayman,et al.  Efficient evaluation of spatial-domain MoM matrix entries in the analysis of planar stratified geometries , 2000 .

[9]  J. Tsalamengas Exponentially converging direct singular integral-equation methods in the analysis of microslot lines on layered substrates , 1999 .

[10]  J. Mosig Arbitrarily shaped microstrip structures and their analysis with a mixed potential integral equation , 1988 .

[11]  Xiao-Bang Xu,et al.  Current induced by TE excitation on a conducting cylinder located near the planar interface between two semi-infinite half-spaces , 1986 .

[12]  N. Kinayman,et al.  Efficient and accurate EM simulation technique for analysis and design of MMICs , 1997 .

[13]  Lale Alatan,et al.  Analytical evaluation of the MoM matrix elements , 1996 .

[14]  J. Bernal,et al.  Fast full-wave analysis of multistrip transmission lines based on MPIE and complex image theory , 2000 .

[15]  C. Butler Current induced on a conducting strip which resides on the planar interface between two semi-infinite half-spaces , 1984 .

[16]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[17]  R. Harrington Matrix methods for field problems , 1967 .

[18]  Carretera de Valencia,et al.  The finite element method in electromagnetics , 2000 .

[19]  K. Whites,et al.  The effectiveness of an image plane in reducing radiated emissions , 1996 .

[20]  G. Y. Delisle,et al.  Discrete image theory for horizontal electric dipoles in a multilayered medium , 1988 .

[21]  J. Tsalamengas Scattering of arbitrarily polarized plane waves obliquely incident on infinite slots or strips in a planar-stratified medium , 1998 .

[22]  Allen Taflove State of the Art and Future Directions in Finite-Difference and Related Techniques in Supercomputing Computational Electromagnetics , 1991 .

[23]  Weng Cho Chew,et al.  A recursive T‐matrix algorithm for strips and patches , 1992 .

[24]  M. I. Aksun,et al.  Choices of expansion and testing functions for the method of moments applied to a class of electromagnetic problems , 1993 .

[25]  M. I. Aksun,et al.  Closed-form Green's functions for general sources and stratified media , 1995 .

[26]  A. Glisson,et al.  Current induced on a conducting cylinder located near the planar interface between two semi-infinite half-spaces , 1985 .

[27]  N. Kinayman,et al.  Efficient use of closed-form Green's functions for the analysis of planar geometries with vertical connections , 1997 .

[28]  G. E. Howard,et al.  A closed-form spatial Green's function for the thick microstrip substrate , 1991 .