Colloquium   RSS

16/07/2008, 15:00 — 16:00 — Room P3.10, Mathematics Building
, Universidade de Delaware

The inverse scattering problem for an obstacle

This talk is designed to be an introduction to inverse scattering theory for the non expert, focusing on the inverse electromagnetic scattering problem for a perfect conductor. We begin by considering scattering by an infinite cylinder in which case the governing equation is the two dimensional Helmholtz equation. After considering uniqueness questions for the inverse problem, we proceed to describing the three main methods for solving the inverse problem: the method of physical optics, Newton's method and the linear sampling method. We conclude by considering the three dimensional inverse scattering problem, focusing on the linear sampling method for Maxwell's equations. Numerical examples will be given using both real and synthetic scattering data.

The Mathematics Colloquium is a series of monthly talks organized by the Department of Mathematics of IST, aiming to be a forum for the presentation of mathematical ideas or ideas about Mathematics. The Colloquium welcomes the participation of faculty, researchers and undergraduate or graduate students, of IST or other institutions, and is seen as an opportunity of bringing together and fostering the building up of ideas in an informal atmosphere.

Organizers: Conceição Amado, Lina Oliveira e Maria João Borges.