Scattering Relations for a Multi-Layered Chiral Scatterer in an Achiral Environment

Christodoulos Athanasiadis (cathan@math.uoa.gr), Evangelia Athanasiadou (eathan@math.uoa.gr), Sotiria Dimitroula (sodimitr@math.uoa.gr) and Eleftheria Kikeri (ekikeri@math.uoa.gr)
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Christodoulos Athanasiadis: University of Athens
Evangelia Athanasiadou: University of Athens
Sotiria Dimitroula: University of Athens
Eleftheria Kikeri: University of Athens

A chapter in Applications of Mathematics and Informatics in Science and Engineering, 2014, pp 27-41 from Springer

Abstract: Abstract In this work we study scattering of a plane electromagnetic wave by a multi-layered chiral body in free space. In the interior of the scatterer exists a core which is either a perfect conductor or a dielectric. We obtain integral representations of the scattered fields which consist of a chiral and an achiral counterpart incorporating the boundary and transmission conditions. We introduce a dimensionless version of the scattering problem and we prove the reciprocity principle and a general scattering theorem for the far-field patterns. Finally, we define Herglotz functions and we state the general scattering theorem in terms of the far-field operator which expresses the superposition of the far-field pattern.

Keywords: Scattered Field; Transmission Condition; Perfect Conductor; Electromagnetic Scattering; Chiral Medium (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-04720-1_2

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DOI: 10.1007/978-3-319-04720-1_2

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