Author(s)

T. Touhei & T. Hinago

Abstract

A method for the inverse scattering analysis for an elastic half space is developed in this article. The method is based on the fast volume integral equation developed by the author, in that the Krylov subspace is constituted by a fast method without deriving the coefficient matrix for the integral equation. The equation for the inverse scattering analysis obtained from the volume integral equation is for reconstructing fluctuations of the medium from observed scattered waves of the finite region at the free surface. The linearization for the equation is carried out by the Born approximation. The Tikhonov regularization method is also employed to have the iterative solution converge. Several numerical calculations are performed to verify the accuracy of the reconstruction of the wave field as well as the effects of the regularization method. Keywords: inverse scattering problem, elastic half space, fast method, volume integral equation, Tikhonov regularization method.

Keywords

inverse scattering problem, elastic half space, fast method, volume integral equation, Tikhonov regularization method