An inverse problem of ocean acoustics

TL;DR

This paper addresses the inverse problem of determining the ocean's refraction coefficient from surface acoustic data, proving uniqueness and providing a reconstruction algorithm, with discussions on related literature.

Contribution

It establishes a uniqueness theorem and develops a new reconstruction algorithm for the inverse ocean acoustics problem.

Findings

Proved a uniqueness theorem for the inverse problem.

Developed a reconstruction algorithm for the refraction coefficient.

Discussed related results and literature in the field.

Abstract

The inverse problem of finding the refraction coefficient of a shallow ocean from the observation of the extra Cauchy data for the acoustic field at the surface of the ocean is studied. Uniqueness theorem is proved and a reconstruction algorithm is obtained. Comments are given on the related results in the literature.