Accurate approximation of Green's functions in planar stratified media in terms of a finite sum of spherical and cylindrical waves

A robust and computationally-expedient methodology is presented for accurate, closed-form approximation of the Green's functions used in the mixed-potential integral equation statement of the electromagnetic boundary value problem in planar stratified media. The proposed methodology is based on...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2006-05, Vol.54 (5), p.1568-1576
Main Authors: Kourkoulos, V.N., Cangellaris, A.C.
Format: Article
Language:English
Subjects:
Application software
Applied sciences
Approximation
Boundary value problems
Cylindrical waves
Dielectrics
Electromagnetic scattering
Exact sciences and technology
Exact solutions
Green's function methods
Green's functions
Integral equations
Mathematical analysis
Media
Methodology
Nonhomogeneous media
Optical waveguides
Radiocommunications
Radiowave propagation
Rational functions
Robustness
Sampling methods
Sommerfeld integrals
stratified media
Telecommunications
Telecommunications and information theory
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Summary:A robust and computationally-expedient methodology is presented for accurate, closed-form approximation of the Green's functions used in the mixed-potential integral equation statement of the electromagnetic boundary value problem in planar stratified media. The proposed methodology is based on the fitting of the spectrum of the Green's function, after the extraction of the quasistatic part, making use of rational functions. The effectiveness and robustness of the proposed methodology rely upon the proper sampling of the spectrum in order to improve the accuracy of the rational function fit. The resulting closed-form approximation is in terms of both spherical and cylindrical waves. Thus, high accuracy is obtained in the approximation of the Green's function irrespective of the distance of the observation point from the source. The methodology is validated through its application to the approximation of the Green's function for a multi-layered, planar dielectric stack
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2006.874329