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2012 | OriginalPaper | Buchkapitel

4. Solving an Electromagnetic Scattering Problem in Chiral Media

verfasst von : Christodoulos Athanasiadis, Sotiria Dimitroula, Kostantinos Skourogiannis

Erschienen in: Applications of Mathematics and Informatics in Military Science

Verlag: Springer New York

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Abstract

In this work we consider the problem of scattering of a plane electromagnetic wave by a chiral dielectric obstacle in a chiral environment. We formulate the problem in terms of Beltrami fields in order to state existence and uniqueness. We prove a general scattering theorem when the incident field is a chiral electromagnetic Herglotz pair. Using low-frequency techniques the scattering problem is reduced to an iterative sequence of potential problems which can be solved successively in terms of expansions in appropriate ellipsoidal harmonic functions and we evaluate the zeroth-order approximation.

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Metadaten
Titel
Solving an Electromagnetic Scattering Problem in Chiral Media
verfasst von
Christodoulos Athanasiadis
Sotiria Dimitroula
Kostantinos Skourogiannis
Copyright-Jahr
2012
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-4109-0_4