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Scattering and coupling effects of electromagnetic waves in 3D networks of spheres

Published online by Cambridge University Press:  15 January 1998

M. Defos du Rau
Affiliation:
Laboratoire PIOM, CNRS (UMR 5501), ENSCP Bordeaux, avenue Pey-Berland, BP. 108, 33402 Talence Cedex, France
F. Pessan
Affiliation:
Laboratoire PIOM, CNRS (UMR 5501), ENSCP Bordeaux, avenue Pey-Berland, BP. 108, 33402 Talence Cedex, France
G. Ruffie
Affiliation:
Laboratoire PIOM, CNRS (UMR 5501), ENSCP Bordeaux, avenue Pey-Berland, BP. 108, 33402 Talence Cedex, France
V. Vignéras-Lefebvre*
Affiliation:
Laboratoire PIOM, CNRS (UMR 5501), ENSCP Bordeaux, avenue Pey-Berland, BP. 108, 33402 Talence Cedex, France
J. P. Parneix
Affiliation:
Laboratoire PIOM, CNRS (UMR 5501), ENSCP Bordeaux, avenue Pey-Berland, BP. 108, 33402 Talence Cedex, France
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Abstract

In this paper, the problem of electromagnetic scattering from a 3D system of spheres is considered and an iterative solution that accounts for multiple scattering is proposed. The Mie formalism used for a single sphere is extended to account for multiple scattered fields between several particles. The translational addition theorems for spherical wave functions are used to express the electromagnetic field scattered by a sphere Si in terms of an incident field for a sphere Sk in a spherical coordinates system attached to the sphere Sk. In this work, the numerical convergence of the method is discussed and associated computational times are given. Numerical computations including Radar Cross Section (RCS) and radiation patterns for various 3D configurations are presented. Some of them are compared with free-space measurements made in the 8 to 100 GHz frequency band using vectorial network analyzers.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 1998

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