Title: Modeling Plasmons on Graphene with Time- and Space-Dependent Properties

Abstract: Graphene sheets are two-dimensional materials that are known to support plasmonic modes. The latter are electromagnetic waves which are concentrated near a surface and propagate along it. In graphene, these modes can exist on both sides of surfaces of the 2-D material. It has been shown that graphene sheets are effective in its ability to concentrate light, and for this reason, it is a candidate for photonic devices. In this work, we study graphene sheets which have time- and space-dependent properties. They are modeled as a flat conductive sheet with time- and space-dependent Drude weight. We show that in two dimensions, the governing equations can be reduced to a single 1-D time-dependent integro-partial-differential equation. The equation can be discretized and also solved approximately using perturbation arguments. We demonstrate the accuracy of the approximate solution and also show interesting behavior of the plasmons when the Drude weight is modulated temporarily and spatially. Joint work with Tong Shi.

Bio: Prof. Fadil Santosa is Yu Wu and Chaomei Chen Department Head of the Applied Mathematics and Statistics Department at Johns Hopkins University. He is a recipient of the 2023 SIAM Prize for Distinguished Service to the Profession.