Merging and splitting for forward and inverse scattering


Yu Chen

Courant Institute

New York University

We will present a merging-splitting approach for rapid solution of the Lippmann-Schwinger equation for volume scattering calculations in two dimensions. Time permitting, we also wish to discuss its potential application to the inverse scattering problem where a splitting procedure appears to separate the nonlinear part from the ill-posed part of the inverse problem, and render the former trivial to deal with.