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

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 ba...

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Main Author: Constantine A. Valagiannopoulos
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2009/301461
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author Constantine A. Valagiannopoulos
author_facet Constantine A. Valagiannopoulos
author_sort Constantine A. Valagiannopoulos
collection DOAJ
description 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.
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issn 1687-5869
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spelling doaj-art-b778afba8f1b471b9548f860ba1489222025-02-03T05:45:29ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772009-01-01200910.1155/2009/301461301461Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar MaterialConstantine A. Valagiannopoulos0Microwaves and Fiber Optics Laboratory, School of Electrical and Computer Engineering, National Technical University of Athens (NTUA), Heroon Polytechniou 9, Zografou, 15773 Athens, GreeceAn 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.http://dx.doi.org/10.1155/2009/301461
spellingShingle Constantine A. Valagiannopoulos
Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material
International Journal of Antennas and Propagation
title Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material
title_full Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material
title_fullStr Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material
title_full_unstemmed Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material
title_short Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material
title_sort rigorous solution to plane wave scattering by an arbitrary shaped particle embedded into a cylindrical cell of similar material
url http://dx.doi.org/10.1155/2009/301461
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