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RECIPROCITY RELATIONS FOR A CONDUCTIVE SCATTERER WITH A CHIRAL CORE IN QUASI-STATIC FORM

Part of: Optics, electromagnetic theory - General Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  03 July 2018

C. E. ATHANASIADIS Open the ORCID record for C. E. ATHANASIADIS [Opens in a new window] ,
E. S. ATHANASIADOU Open the ORCID record for E. S. ATHANASIADOU [Opens in a new window]  and
S. DIMITROULA Open the ORCID record for S. DIMITROULA [Opens in a new window]
C. E. ATHANASIADIS*
Affiliation:
Department of Mathematics, Office 231, Panepistimiopolis 15784, Zografoy, Athens, Greece email cathan@math.uoa.gr, eathan@math.uoa.gr, sodimitr@math.uoa.gr
E. S. ATHANASIADOU
Affiliation:
Department of Mathematics, Office 231, Panepistimiopolis 15784, Zografoy, Athens, Greece email cathan@math.uoa.gr, eathan@math.uoa.gr, sodimitr@math.uoa.gr
S. DIMITROULA
Affiliation:
Department of Mathematics, Office 231, Panepistimiopolis 15784, Zografoy, Athens, Greece email cathan@math.uoa.gr, eathan@math.uoa.gr, sodimitr@math.uoa.gr
*
✉cathan@math.uoa.gr
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Abstract

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We analyse a scattering problem of electromagnetic waves by a bounded chiral conductive obstacle, which is surrounded by a dielectric, via the quasi-stationary approximation for the Maxwell equations. We prove the reciprocity relations for incident plane and spherical electric waves upon the scatterer. Mixed reciprocity relations have also been proved for a plane wave and a spherical wave. In the case of spherical waves, the point sources are located either inside or outside the scatterer. These relations are used to study the inverse scattering problems.

Keywords

conductive chiralspherical wavereciprocity relations

MSC classification

Primary: 35Q60: PDEs in connection with optics and electromagnetic theory
Secondary: 78A45: Diffraction, scattering
Type
Research Article
Information
The ANZIAM Journal , Volume 60 , Issue 1 , July 2018 , pp. 86 - 94
Copyright
© 2018 Australian Mathematical Society 

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