# Events

The Maseeh Mathematics and Statistics Colloquium Series* presents

**Scattering and resonances of thin high contrast dielectric structures**

by Shari Moskow, Ph.D., Department of Mathematics, Drexel University

**Friday, January 24th, 2014 at 3:15pm **

Neuberger Hall room 454

(Refreshments served at 3:00 in presentation room)

This event is free and open to the public.

**Abstract: **

We consider scattering of electromagnetic waves by a thin structure of

high index of refraction. We first consider the Helmholtz equation, and

show that if the squared refractive index scales as $O(1/h)$ where

h is the thickness of the scatter, an approximate solution based on

perturbation analysis can be obtained which involves solving a 2D

integral equation for a 3D problem. We then discuss extensions to

Maxwells' equations in this context while accounting for material

jumps, and the calculation of resonant frequencies by this asymptotic

approach.

This work involves papers with coauthors D. Ambrose, J.

Gopalakrishnan, F. Santosa, S. Rome and J. Zhang

* Sponsored by the Maseeh Mathematics and Statistics Colloquium Series Fund and the Fariborz Maseeh Department of Mathematics & Statistics, PSU.