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Journal ArticleDOI

New closed-form Green's functions for microstrip structures - theory and results

Yuehe Ge, +1 more
- 07 Aug 2002 - 
- Vol. 50, Iss: 6, pp 1556-1560
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.

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Citations
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Proceedings ArticleDOI

A robust approach for the derivation of closed-form Green's functions for microstrip structures

TL;DR: In this article, a robust approach for the derivation of closed-form Green's functions is considered based upon a three level approximation procedure, which can give more accurate evaluation of the spatial Green's function even without the advance investigation of the spectral functions in comparison with the previous method.
Journal Article

A Closed-Form Spatial Green's Function for the Thick Microstrip Substrate: The Meshless Interpolation Approach

TL;DR: In this article, the Green's functions of a microstrip in the spatial domain are computed based on expanding the corresponding spectral-domain functions over inverse quadric (IQ) radial basis functions (RBFs).
Journal ArticleDOI

Efficient Electromagnetic Modeling of Multidomain Planar Layered Medium by Surface Integral Equation

TL;DR: In this paper, a novel electromagnetic modeling method for multidomain planar layered medium (MD-PLM) by surface integral equation (SIE) is proposed, where both the exterior and interior domains are considered as PLM that is modeled by the corresponding LMGFs and SIE in each subdomain.
Journal ArticleDOI

Numerical analysis of multicomponent responses of surface-hole transient electromagnetic method

TL;DR: In this article, the authors calculate the multicomponent responses of surface-hole transient electromagnetic method, which is unsuitable as geoelectric models of conductive surrounding rocks because they are based on regular local targets.
Proceedings ArticleDOI

A new approach for improved evaluation of sommerfeld integral tails for PEC-terminated single layered media

TL;DR: In this article, the authors obtained improved analytical forms for closed-form evaluation of the Sommerfeld integral tail that are more general compared to [3], [4] and [5].
References
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Book

Waves and Fields in Inhomogeneous Media

Weng Cho Chew
TL;DR: Inverse scattering problems in planar and spherically layered media have been studied in this article, where Dyadic Green's functions have been applied to the mode matching method to solve the problem.
Journal ArticleDOI

Multilayered media Green's functions in integral equation formulations

TL;DR: In this paper, a compact representation of the electric and magnetic-type dyadic Green's functions for plane-stratified, multilayered, uniaxial media based on the transmission-line network analog along the aids normal to the stratification is given.
Journal ArticleDOI

Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. I. Theory

TL;DR: In this paper, an accurate and general procedure for the analysis of electromagnetic radiation and scattering by perfectly conducting objects of arbitrary shape embedded in a medium consisting of an arbitrary number of planar dielectric layers is developed.
Journal ArticleDOI

Generalized pencil-of-function method for extracting poles of an EM system from its transient response

TL;DR: In this article, a generalized pencil-of-function (GPOF) method is developed for extracting the poles of an electromagnetic system from its transient response, which needs the solution of a generalized eigenvalue problem to find the poles.
Journal ArticleDOI

A closed-form spatial Green's function for the thick microstrip substrate

TL;DR: In this paper, a closed-form spatial Green's function for the open microstrip structure, especially with a thick substrate, is represented in the time-consuming Sommerfield integrals.
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