Article citationsMore>>

Youssif, M. and Dalam, E. (2020) Verifications of the Scattering Theory on Manifolds. Advances in Pure Mathematics, 10, 645-657.
https://doi.org/10.4236/apm.2020.1011040

has been cited by the following article:

• 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.