An Iterative Method for Solving Inverse Problems of a Nonlinear Wave Equation

Abstract

The iterative numerical algorithm of the pulse-spectrum technique (PST) is extended to solve the inverse problem for a nonlinear wave equation arising from remote sensing of the ocean sound velocity profile by using finite-amplitude acoustic waves. Its applicability is demonstrated for the one-dimensional case. Numerical simulations are carried out to test the feasibility and to study the general characteristics of this technique without real measurement data. It is found that the PST does give reasonably good results, and hence it is a viable method.