The unknown object problem in a sea with sloping bottom

Abstract

This article considers the acoustic unknown object problem for a shallow ocean with a sloping seabed. The incident waves are sent from point sources along a s raight line parallel to the sea surface, and the corresponding scattered fields are measured from a line above the unknown object. We prove a uniqueness theorem for the inverse problem,and describe a generalizeddual space indicator method for numerical solution.Numerical results are given in Section 4.

Keywords:

• Inverse problems
• Underwater acoustics
• Undetermined object problem

AMS:

• 35J05
• 86A35
• 78A45