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

Authors : Gülten TORUN

Pages : 1-26

View : 21 | Download : 9

Publication Date : 2019-10-16

Article Type : Research Paper

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