Low-frequency acoustic scattering by an infinitely stratified scatterer

Abstract

In this work we consider the problem of scattering of a plane acoustic wave by an infinitely stratified scatterer with a soft, a rigid or a resistive core. Firstly, we prove the existence and uniqueness of solutions of this problem. Then using the low-frequency approximation, we reduce it to an iterative sequence of potential problems. Bounds for the low-frequency coefficients and for the normalized scattering amplitude are derived.

Keywords

• transmission problem
• infinitely stratified scatterer
• low-frequency theory
• scattering amplitude