A Transmission problem for bi-isotropic media

Abstract

In this work we study the solvability of the transmission problem describing the scattering of a plane time-harmonic electromagnetic wave by a penetrable bi-isotropic obstacle. Existence and uniqueness of the solution to this problem is established by a weak solutions approach, with the use of the Dirichlet-to-Neumann operator. Moreover, in the low frequency case, we reduce the problem to a sequence of potential problems which can be solved iteratively.

Keywords:

• Bi-isotropic medium
• transmission problem
• scattering of electromagnetic waves
• low frequency approximation

AMS:

• 35P25
• 35Q60
• 78A45