Presentation by Mansi Mahajan

Title : Spectral Finite Elements for Electromagnetic Metamaterial Models

Abstract : Metamaterials are artificially structured materials designed to exhibit electromagnetic properties not found in naturally occurring materials. This talk begins with a brief overview of electromagnetic metamaterials and their applications, such as cloaking, negative refraction, and superlensing. I will then introduce spectral finite element methods for modeling wave propagation in such media, with a focus on dispersive models like the Drude model and the use of edge (Nédélec) elements for accurate discretization of Maxwell’s equations. The talk will also touch on dispersion relations arising from the discretized system and their relevance to wave behavior in metamaterials.

Presentation by Nicholas Slugg