TITLE:
Scattering Relations for Two-Dimensional Electromagnetic Waves in Chiral Media
AUTHORS:
Christodoulos E. Athanasiadis, Evagelia S. Athanasiadou, Paraskevi Roupa
KEYWORDS:
Reciprocity Principle, Chiral Media, Two-Dimensional Scattering, Scattering Relations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.4,
April
21,
2022
ABSTRACT: We consider the scattering of time-harmonic plane waves by an infinitely long penetrable chiral cylinder. The electromagnetic scattering problem is reduced to a transmission problem for a system of two-dimensional Helmholtz equations. We prove the classical reciprocity principle, a general scattering theorem and an optical theorem in R2. Using Herglotz wave functions we define the corresponding far field operator. Applying the general scattering theorem useful relations are proved for the reconstruction of the scatterer. We also prove that for real chirality measure of the penetrable scatterer the far field operator has a countable number of eigenvalues which lie on a circle.