# Determination of a Distributed Inhomogeneity in a Two-Layered Waveguide from Scattered Sound

Chapter

## Abstract

This paper considers the determination of a distributed inhomogeneity in a two-layered waveguide from scattered sound. Assuming that we know the acoustic properties of the waveguide, we determine the unknown inhomogeneity by sending in incident waves from point sourses in given locations, and detecting the total waves along a line. In this paper we consider the case that wavenumber *k* is small. In this case we obtain the representation, uniqueness, and existence of the direct scattering problem, and the uniqueness of inverse scattering problem. Numerical examples are also presented.

## Keywords

Scattering Problem Boundary Integral Equation Method Inverse Scattering Problem Scattered Sound Acoustic Waveguide
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