Applied Mathematics Colloquium with Fadil Santosa, John Hopkins
Speaker: Fadil Santosa, John Hopkins University
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: Fadil Santosa is a professor and the Yu Wu and Chaomei Chen Department Head of Applied Mathematics and Statistics. His research interests include inverse problems, wave phenomena in complex media and in photonic devices, and optimal design. He is currently focusing his efforts on optimal experiment design for inverse problems and modeling of direct air capture of CO2. He holds two patents: one for multifocal optical device design and another for symbol-based decoding of optical codes. He earned his BS in mechanical engineering from the University of New Mexico in 1976, and both his MS and PhD in theoretical and applied mechanics from the University of Illinois, Urbana in 1977 and 1980, respectively.
This talk will be offered in a hybrid format. If you wish to participate remotely, please send an email to cr2090@columbia.edu.
