Scattering from 2d Open Waveguides

In this lecture, we present a new method to solve the scattering problem defined by two planar, rectangular, semi-infinite open wave guides that meet along a common perpendicular line. We use the method of fundamental solutions to reduce the scattering problem to a system of Fredholm integral equations along a line. This method lends itself to numerical implementation.

Charles Epstein is a Senior Research Scientist at the Center for Computational Mathematics of Flatiron Institute and a Thomas A. Scott Professor of Mathematics, Emeritus at University of Pennsylvania. You can learn more about Charles Epstein here: https://www2.math.upenn.edu/~cle/