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.
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
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.