Journal ArticleDOI
New closed-form Green's functions for microstrip structures - theory and results
Yuehe Ge,Karu P. Esselle +1 more
TLDR
In this paper, the generalized pencil of function method was used to evaluate the Green's functions of single-layer and multilayer structures, and closed-form expressions for the method-of-moments matrix coefficients were obtained.Abstract:
This paper presents an efficient technique to evaluate the Green's functions of single-layer and multilayer structures. Using the generalized pencil of function method, a Green's function in the spectral domain is accurately approximated by a short series of exponentials, which represent images in spatial domain. New compact closed-form spatial-domain Green's functions are found from these images using several semi-infinite integrals of Bessel functions. With the numerical integration of the Sommerfeld integrals avoided, this method has the advantages of speed and simplicity over numerical techniques, and it leads to closed-form expressions for the method-of-moments matrix coefficients. Numerical examples are given and compared with those from numerical integration.read more
Citations
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Journal ArticleDOI
Singularity subtraction for evaluation of Green's functions for multilayer media
TL;DR: In this paper, a special subtraction procedure is applied to each term of the Sommerfeld integrands to make them rapidly decreasing functions of krho, and the contributions of the subtracted terms are calculated analytically.
Journal ArticleDOI
Closed-Form Green's Functions in Planar Layered Media for All Ranges and Materials
TL;DR: In this paper, an extension of the two-level discrete complex image method is proposed to eliminate any concerns on and shortcomings of the approximations of the spatial-domain Green's functions in closed form in planar multilayered media.
Journal ArticleDOI
A direct discrete complex image method from the closed-form Green's functions in multilayered media
TL;DR: A new direct DCIM without any quasi-static and surface-wave extraction is introduced and a novel path to include more variation before the MPM is introduced to avoid large variations of the spectral kernel.
Journal ArticleDOI
Application of Total Least Squares to the Derivation of Closed-Form Green's Functions for Planar Layered Media
TL;DR: In this article, the spectral-domain Green's functions are approximated by an asymptotic term plus a ratio of two polynomials, the coefficients of these two coefficients being determined via the method of total least squares.
Journal ArticleDOI
Computation of the Sommerfeld Integral tails using the matrix pencil method
Mengtao Yuan,Tapan K. Sarkar +1 more
TL;DR: A new and better technique is proposed to obtain accurate results for the computation of the Green's function for a layered media in the spatial domain using the matrix pencil method.
References
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Journal ArticleDOI
Fast computation of the nonsymmetrical components of the Green's function for multilayer media using complex images
TL;DR: In this paper, a three-part expression for nonsymmetric components of the dyadic Green's function of a multilayer medium is derived, which provides a very accurate and computationally fast method for calculation of such components.