A modification of the factorization method for scatterers with different physical properties

TL;DR

This paper extends the Factorization Method for inverse acoustic scattering to handle scatterers composed of two objects with different physical properties, including different boundary conditions and penetrability, by modifying the far field operator.

Contribution

It introduces a modified far field operator tailored for scatterers with varying physical properties, enabling more flexible inverse scattering analysis.

Findings

Successfully distinguishes objects with different boundary conditions.

Effectively handles penetrable and non-penetrable scatterers.

Improves the applicability of the Factorization Method.

Abstract

We study an inverse acoustic scattering problem by the Factorization Method when the unknown scatterer consists of two objects with different physical properties. Especially, we consider the following two cases: One is the case when each object has the different boundary condition, and the other one is when different penetrability. Our idea here is to modify the far field operator depending on the cases to avoid unnecessary a priori assumptions.