Finite Element Methods for Simulation of Surface Plasmon Polaritons on 2D Materials

Thursday, April 13, 2017 - 11:00am - 12:00pm
Lind 305
Matthias Maier (University of Minnesota, Twin Cities)
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 promising ingredients in the design of novel optical applications 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 finite element approach for the simulation of
SPP structures on a conducting sheet, excited by a plane-wave or
electric Hertzian dipole sources. Corresponding analytical results are
briefly discussed as well.