Abstract
The problem of wave splitting in a nonhomogeneous medium in R3 is considered. Previous results for wave splitting in a planar stratified medium can be generalized to a general nonhomogeneous medium (with sufficiently smooth velocity). The wave equation is factorized into an up- and down-going wave system using certain integral and integral-differential operators. The equation for the reflection operator (which relates the up-going wave to a down-going wave) is then obtained, and certain properties of the reflection operator are deduced.
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