Eigenvalues of the far field operator for time harmonic acoustic waves by an inhomogeneous medium and inverse scattering theory

摘要

In this paper the far field pattern for the acoustic scattering waves in the nonhomogeneous medium is studied. Both the eigenvalue for the far field operator and the identity operator for the scattering operator are investigated. Also, this paper the inverse scattering problem is studied. All this researches, density of the absorbing medium ρ∈C1(R3) is assumed that ∇ρ≠0.