A logarithmic estimate for the inverse source scattering problem with attenuation in a two-layered medium

Abstract

The paper aims a logarithmic stability estimate for the inverse source problem of the one-dimensional Helmholtz equation with attenuation factor in a two layer medium. We establish a stability by using multiple frequencies at the two end points of the domain which contains the compact support of the source functions.

Inverse Scattering Source Problems

“…In papers [21,22], authors considered inverse source scattering problems for double layers medium. The results in the papers [23,24] showed an stability estimate for elastic and electromagnetic waves.…”