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International Journal of Antennas and Propagation
Volume 2009, Article ID 301461, 6 pages
http://dx.doi.org/10.1155/2009/301461
Research Article

Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material

Microwaves and Fiber Optics Laboratory, School of Electrical and Computer Engineering, National Technical University of Athens (NTUA), Heroon Polytechniou 9, Zografou, 15773 Athens, Greece

Received 10 May 2009; Accepted 8 July 2009

Academic Editor: Charles Bunting

Copyright © 2009 Constantine A. Valagiannopoulos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An infinite cylinder of arbitrary shape is embedded into a circular one, and the whole structure is illuminated by a plane wave. The electromagnetic scattering problem is solved rigorously under the condition that the materials of the two cylinders possess similar characteristics. The solution is based on a linear Taylor expansion of the scattering integral formula which can be useful in a variety of different configurations. For the specific structure, its own far field response is given in the form of a double series incorporating hypergeometric functions. The results are in good agreement with those obtained via eigenfunction expansion. Several numerical examples concerning various shape patterns are examined and discussed.