The scattering problem for the electromagnetic waves polarized in the case of transverse electric

11 THE SCATTERING PROBLEM FOR THE ELECTROMAGNETIC WAVES POLARIZED IN THE CASE OF TRANSVERSE ELECTRIC (Ph. D. Thesis) Gülten TORUN GAZI UNIVERSITY INSTITUTE OF SCIENCE AND TECHNOLOGY January 2004 ABSTRACT In this thesis, the electromagnetic waves scattered from an inhomogeneous medium are investigated 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 showed. In order to show the existence of the solution of this problem, the operator equations are constructed and the theorem which is the existence of the inverse operator ( the Riesz theory) is used. To solution of the inverse scattering problem, the interior boundary-value problem is considered and then the uniqueness and the existence of the solution of this problem are proved. Finally, a linear integral equation is obtained whose the solution yield the support of the scattering object. Science Code : 226 Key Words : Electromagnetic waves, scattering theory, far-field pattern, linear sampling method. Page Number : 76 Adviser : Prof. Dr. Ibrahim Ethcm ANAR