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

In: Applications of Mathematics and Informatics in Science and Engineering

Author

Listed:
  • Christodoulos Athanasiadis

    (University of Athens)

  • Evangelia Athanasiadou

    (University of Athens)

  • Sotiria Dimitroula

    (University of Athens)

  • Eleftheria Kikeri

    (University of Athens)

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.

Suggested Citation

  • Christodoulos Athanasiadis & Evangelia Athanasiadou & Sotiria Dimitroula & Eleftheria Kikeri, 2014. "Scattering Relations for a Multi-Layered Chiral Scatterer in an Achiral Environment," Springer Optimization and Its Applications, in: Nicholas J. Daras (ed.), Applications of Mathematics and Informatics in Science and Engineering, edition 127, pages 27-41, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-04720-1_2
    DOI: 10.1007/978-3-319-04720-1_2
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