The linear method for solving the scattering problem in an inhomegeneous medium: the case of TE polarized

Year 2019, Volume: 1 Issue: 2, 1 - 26, 16.10.2019

Gülten Torun

Abstract

 In this article,
the electromagnetic waves scattered from an inhomogeneous medium are considered
when the electromagnetic waves are polarized in the case of transverse
electric. Using the Rellich lemma, the uniqueness of the solution of the direct
scattering problem is proved. In order to show the existence of the solution of
this problem, the operator equations are constructed and the Riesz theory which
provides the existence of the inverse operator is used. Furthermore, for
solution of  the invers scattering
problems, an interior boundary value problem is considered. Finally, a linear
integral equation is obtained whose the solution yield the support of  the scattering object.

Keywords

Electromagnetic wave, Far-field pattern, Linear method, Scattering theory

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