Abstract:

This talk will focus on direct and inverse problems of wave propagation in stratified media. In order to model a well-posed problem for waves in a stratified medium, we need to pose a proper radiation condition. Using contour integral, we obtain a generalized Sommerfeld radiation condition. We will discuss the radiation conditions for wave in essentially stratified medium with unbounded inhomogeniety, and introduce an upward propagating radiation condition and a sideward radiation condition for waves in essentially layered medium. Some related inverse scattering problems will be discussed.