Properties of the par field operatör for time harmonik accustic whves by an inhomogeneous medium and inverse scattering theory

11 PROPERTIES OF THE FAR FIELD OPERATOR FOR TIME HARMONIK ACOUSTIC WAVES BY AN INHOMOGENEOUS MEDIUM AND INVERSE SCATTERING THEORY (Ph. D. Thesis) ÜLKÜ (DİNLEMEZ) ATEŞ GAZI UNIVERSITY INSTUTE OF SCIENCE AND TECHNOLOGY January 2004 ABSTRACT In this work, the far field pattern for the acoustic scattering waves in the non- homogeneous medium is studied.Both the eigenvalue for the far field operator and the identity operator for the scattering operator are investigated.The inverse scattering problem is studied.Also it is investigated the relationship between the injective of far field operator and interior transmission problem. All this researchs, density of the absorbing medium p e C](IR3) is assumed that Vp * 0. Science Code Key Words Page Number Adviser 226 inverse scattering, far field operator, acoustic waves 51 Prof. Dr. Ibrahim Ethem ANAR