DMS Applied Mathematics Seminar

Speaker: Prof. Peter Monk, University of Delaware

Title: Inverse Scattering in a Waveguide

Abstract: I shall present a study of the inverse problem of determining the shape of inclusions in a sound hard waveguide using either frequency or time domain data. Mostly I will focus on the time domain problem and start by proving existence and uniqueness for the forward problem. Then I will derive a numerical method using time domain integral equations. For the inverse problem I will use the Linear Sampling Method due to Colton and Kirsch. After analysis of the time domain inversion scheme, I will provide a few numerical examples.