Mathematical Physics and Harmonic Analysis Seminar

Date: September 22, 2023

Time: 1:50PM - 2:50PM

Location: BLOC 302

Speaker: Matthias Maier, Texas A&M University

Title: Lorentz Resonance in the Homogenization of Plasmonic Crystals

Abstract: We explain the Lorentz resonances in plasmonic crystals that consist of 2D nano dielectric inclusions as the interaction between resonant material properties and subwavelength geometric resonances of electrostatic nature. One example of such plasmonic crystals is graphene nanosheets that are periodically arranged within a non-magnetic bulk dielectric.

We identify local geometric resonances on the length scale of the small scale period. From a materials perspective, the graphene surface exhibits a dispersive surface conductance captured by the Drude model. Together these phenomena conspire to generate Lorentz resonances at frequencies controlled by the surface geometry and the surface conductance.

The Lorentz resonances found in the frequency response of the effective dielectric tensor of the bulk metamaterial is shown to be given by an explicit formula, in which material properties and geometric resonances are decoupled.

Joint work with Wei Li (DePaul University) and Robert Lipton (Louisiana State University)