Matthew Kehoe : Wave Scattering in Periodic Media

Posted by Nicholas Christo , part of the Graduate Student Colloquium.

At

Feb. 14, 2022, 5 p.m.

In

636 SEO

Abstract

The scattering of electromagnetic radiation by a layered periodic diffraction grating is an important model in engineering and the sciences. The numerical simulation of this experiment has been widely explored in the literature and we advocate for a novel interfacial method which is perturbative in nature. More specifically, we extend a recently developed High--Order Perturbation of Surfaces/Asymptotic Waveform Evaluation (HOPS/AWE) algorithm to utilize a stabilized numerical scheme which also suggests a rigorous convergence result. An implementation of this algorithm is described, validated, and utilized in a sequence of challenging and physically relevant numerical experiments. This is joint work with David Nicholls.