On wave splitting, source separation and echo removal with absorbing boundary conditions

Abstract

Starting from classical absorbing boundary conditions (ABC), we propose a method for the separation of time-dependent wave fields given measurements of the total wave field. The method is local in space and time, deterministic, and makes no prior assumptions on the frequency spectrum and the location of sources or physical boundaries. By using increasingly higher order ABC, the method can be made arbitrarily accurate and is, in that sense, exact. Numerical examples illustrate the usefulness for source separation and echo removal.