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

Constantinos Valagiannopoulos | Zendy

Open Access

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

Author(s) -

Constantinos Valagiannopoulos

Publication year - 2009

Publication title -

international journal of antennas and propagation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.282

H-Index - 37

eISSN - 1687-5877

pISSN - 1687-5869

DOI - 10.1155/2009/301461

Subject(s) - eigenfunction , scattering , cylinder , hypergeometric function , plane (geometry) , plane wave , series (stratigraphy) , mathematical analysis , physics , field (mathematics) , taylor series , codes for electromagnetic scattering by cylinders , mathematics , geometry , optics , scattering theory , eigenvalues and eigenvectors , pure mathematics , quantum mechanics , paleontology , biology

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. Copyright (C) 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

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