二層体中の散乱体に対する三次元線形化逆散乱解析

抄録

Linearized inverse scattering method is extended for shape reconstruction of scattering obstacles in a two layered medium. In order to reduce the problem to a shape reconstruction in an unbounded medium, the present method employs an integral equation with Green's function for the joined halfspaces as a starting point. The equation is then liearized by Born and Kirhhoff approximations. Replacing the Green's function by its asymptotic expansion, the inversion fomula corresponding to the two linearizing approximatioins can be derived. As a numerical example, images of shperical and ellipsoidal rigid scatterers are reconstructed using a simulated scattered wave data. Inversion results show that both Born and Kirhhoff inversion can distinguish sphere from ellipsoide though only a part of scatterers can be reconstructed due to an aperture limitation.