Aspects of electromagnetic scattering in chiral media. (4th August 2016)

• Record Type: Journal Article
• Authors: Athanasiadis, Christodoulos E.; Dimitroula, Sotiria; Kikeri, Eleftheria; Skourogiannis, Konstantinos I.
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 6(2017)
• Page Start: 2071
• Page End: 2077
• Publication Date: 2016-08-04
• Subjects: Calderon operator -- far‐field operator -- chiral media -- surface map -- surface harmonic functions; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4120
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this work, we study two operators that arise in electromagnetic scattering in chiral media. We first consider electromagnetic scattering by a chiral dielectric with a perfectly conducting core. We define a chiral Calderon‐type surface operator in order to solve the direct electromagnetic scattering problem. For this operator, we state coercivity and prove compactness properties. In order to prove existence and uniqueness of the problem, we define some other operators that are also related to the chiral Calderon‐type operator, and we state some of their properties that they and their linear combinations satisfy. Then we sketch how to use these operators in order to prove the existence of the solution of the direct scattering problem. Furthermore, we focus on the electromagnetic scattering problem by a perfect conductor in a chiral environment. For this problem, we study the chiral far‐field operator that is defined on a unit sphere and contains the far‐field data, and we state and prove some of its properties that are preliminaries properties for solving the inverse scattering problem. Copyright © 2016 John Wiley & Sons, Ltd.