The Maseeh Mathematics and Statistics Colloquium Series*
Shari Moskow, Ph.D.
Department of Mathematics,
Scattering and resonances of thin high contrast dielectric structures
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
Friday, January 24th, 2014 at 3:15pm
Neuberger Hall room 454
(Refreshments served at 3:00 in presentation room)
* Sponsored by the Maseeh Mathematics and Statistics Colloquium Series Fund and the Fariborz Maseeh Department of Mathematics & Statistics, PSU. This event is free and open to the public.