Integral equation method for acoustic scattering by an inhomogeneous penetrable obstacle in a stratified medium

Abstract

In this paper, we study the scattering of time-harmonic acoustic waves by an inhomogeneous penetrable obstacle in a stratified medium. By using the integral equation method, we prove the uniqueness and existence of solutions for the acoustic scattering by an inhomogeneous penetrable obstacle in a stratified medium. We then establish the mixed reciprocity relation which plays an important role in the inverse scattering problem.

Keywords:

• inhomogeneous penetrable obstacle
• stratified medium
• existence
• uniqueness
• integral equation method

AMS Subject Classifications:

• 35J05
• 35J25
• 74J20

Notes

Dedicated to Professor Wei Lin on his 80th Birthday.

The research was supported in part by the Program of Chongqing Innovation Team Project in University under [grant number KJTD201308] and the Program of Chongqing Normal University under [grant number 13XLB015].