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Data-Driven Model Reduction, Scientific Frontiers, and Applications ()

Matthias Maier, Department of Mathematics
Modeling and Optimization of Optical Layered Heterostructures

Abstract

Two-dimensional materials with controllable electronic structures have opened up an unprecedented wealth of optical phenomena that challenge the classical picture of electromagnetic wave propagation. They are a promising ingredient in the design of novel optical devices, promising "subwavelength optics" beyond the diffraction limit.

In this talk we present a homogenization theory of plasmonic crystals with two-dimensional material inclusions and a spectral analysis quantitatively describing Lorentz resonances in the effective permittivity tensor. We conclude by demonstrating how our analytical findings can serve as an efficient computational tool to describe the general frequency dependence of periodic optical devices.