Effective Solution of 3-D Scattering Problems via Series Expansions: Applicability and a New Hybrid Scheme

Accurate and reliable evaluation of the electromagnetic field scattered by dielectric objects is a canonical problem in the electromagnetic community. In the framework of integral equation formulations, iterative techniques, and in particular conjugate gradient (CG) schemes, are widely used. However...

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Bibliographic Details
Published in:IEEE transactions on geoscience and remote sensing 2007-03, Vol.45 (3), p.639-648
Main Authors: D'Urso, M., Catapano, I., Crocco, L., Isernia, T.
Format: Article
Language:English
Subjects:
Applied geophysics
Character generation
Communities
Computation
Computational complexity
Contrast source extend Born model
Dielectrics
Earth sciences
Earth, ocean, space
electric field integral equation
Electromagnetic fields
Electromagnetic modeling
Electromagnetic scattering
Exact sciences and technology
Integral equations
Internal geophysics
Iterative methods
Linear systems
Mathematical models
Scattering parameters
Series expansion
Studies
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Summary:Accurate and reliable evaluation of the electromagnetic field scattered by dielectric objects is a canonical problem in the electromagnetic community. In the framework of integral equation formulations, iterative techniques, and in particular conjugate gradient (CG) schemes, are widely used. However, when the number of parameters grows, CG techniques may become too demanding from a computational point of view. In this paper, we show that many forward scattering problems can be conveniently solved by means of very simple series expansions, which allow a lower computational complexity and memory storage with respect to other iterative schemes. In particular, we consider three different series expansions, namely: 1) the traditional Born series; 2) the contrast source-extended Born series, which is recently introduced by rewriting the traditional source-type integral equations; and 3) a new series, which is a hybridization of the previous ones. Theoretical conditions for the applicability of the series expansions are discussed, and practical tools to foresee that a problem can be solved by means of these simple iterative schemes are provided. Numerical examples are reported for the sake of comparison and to assess performance
ISSN:0196-2892
1558-0644
DOI:10.1109/TGRS.2006.888144