Analysis and Applied Mathematics Seminar
Matthias Maier
Texas A&M University
Simulation of Optical Phenomena on 2D Material Devices
Abstract: In the terahertz frequency range, the effective (complex-valued) surface
conductivity of atomically thick 2D materials such as graphene has a
positive imaginary part that is considerably larger than the real part.
This feature allows for the propagation of slowly decaying electromagnetic
waves, called surface plasmon-polaritons (SPPs), that are confined near the
material interface with wavelengths much shorter than the wavelength of the
free-space radiation. SPPs are a promising ingredient in the design of novel
optical devices, promising "subwavelength optics" beyond the diffraction
limit. There is a compelling need for controllable numerical schemes which,
placed on firm mathematical grounds, can reliably describe SPPs in a
variety of geometries.
In this talk we present a number of analytical and computational approaches
to simulate SPPs on 2D material interfaces and layered heterostructures.
Aspects of the numerical treatment such as absorbing perfectly matched
layers, local refinement and a-posteriori error control are discussed. We
show analytical results for some prototypical geometries and a
homogenization theory for layered heterostructures.
Monday October 14, 2019 at 4:00 PM in 636 SEO