A comparison of two methods for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium

Abstract A comparison is made of two methods for solving the inverse scattering problem for acoustic waves in an inhomogeneous absorbing medium. These methods were recently introduced by Colton, Kirsch and Monk and are based on considering a weighted average of the far-field data instead of the far-field data itself. The comparison is based on numerical examples for the special case of spherically stratified media.

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