Efficient use of closed-form Green's functions for the analysis of planar geometries with vertical connections

An efficient and rigorous method for the analysis of planarly layered geometries with vertical metallizations is presented. The method is based on the use of the closed-form spatial-domain Green's functions in conjunction with the method of moments (MoM). It has already been demonstrated that the introduction of the closed-form Green's functions into the MoM formulation results in significant computational improvement for the analysis of planar geometries. However, in cases of vertical metallizations, such as shorting pin's, via holes, etc., there are some difficulties in incorporating the closed-form Green's functions into the MoM formulation. In this paper, these difficulties are discussed and their remedies are proposed. The proposed approach is compared to traditional approaches from a theoretical point of view, and the numerical implementation is demonstrated through some examples. The results are also compared to those obtained from the commercial software em by SONNET.

[1]  K. Michalski,et al.  Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. I. Theory , 1990 .

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

[3]  Y. T. Lo,et al.  THEORETICAL AND EXPERIMENTAL INVESTIGATION OF A MICROSTRIP RADIATOR WITH MULTIPLE LUMPED LINEAR LOADS , 1983 .

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

[5]  Raj Mittra,et al.  Numerically efficient analysis of planar microstrip configurations using closed-form Green's functions , 1995 .

[6]  W. M. Carey,et al.  Digital spectral analysis: with applications , 1986 .

[7]  Raj Mittra,et al.  Estimation of spurious radiation from microstrip etches using closed-form Green's functions , 1992 .

[8]  Krzysztof A. Michalski,et al.  Discrete complex image MPIE analysis of coax-fed coupled vertical monopoles in grounded dielectric substrate: two formulations , 1995 .

[9]  T. Sarkar,et al.  Rational modeling by pencil-of-functions method , 1981, ICASSP.

[10]  Krzysztof A. Michalski,et al.  Discrete complex image mixed-potential integral equation analysis of microstrip patch antennas with vertical probe fields , 1995 .

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

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

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

[14]  Krishna Naishadham,et al.  Efficient analysis of passive microstrip elements in MMICs , 1994 .

[15]  Y. Lo,et al.  An Improved Theory for Microstrip Antennas and Applications. Part I. , 1979 .

[16]  Raj Mittra,et al.  Spurious radiation from microstrip interconnects , 1993 .

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

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

[19]  A. Sommerfeld.  Partial Differential Equations in Physics , 1949 .

[20]  M. I. Aksun,et al.  Comparative study of acceleration techniques for integrals and series in electromagnetic problems , 1995, IEEE Antennas and Propagation Society International Symposium. 1995 Digest.

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

[22]  J. Mosig,et al.  General integral equation formulation for microstrip antennas and scatterers , 1985 .

[23]  James Mason Carroll,et al.  Full-wave convergence analysis of microstrip transmission parameters , 1994 .

[24]  Jian-Ming Jin,et al.  The Finite Element Method in Electromagnetics , 1993 .

[25]  Frederick G. Farrar,et al.  Microstrip antennas with frequency agility and polarization diversity , 1981 .

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