Numerical method for the inverse interior scattering problem from phaseless data

Abstract

This paper is concerned with the inverse problem to determine the shape and location of an acoustically sound-soft cavity, or sound-hard cavity, or impedance cavity with known impedance function from phaseless data for one single source incidence. Based on representing scattered field by single-layer potential, a numerical method is presented for finding the unknown boundary of scatterers. Furthermore, we propose a Newton-type algorithm to recover a real-valued surface impedance from phaseless data. The efficient implementation of the method is described and the feasibility of the approach is illustrated by several numerical examples.

Topics & Concepts