Analysis and Applied Mathematics Seminar
David Nicholls
University of Illinois at Chicago
Simulating Multilayer Plasmonic Devices with Domain Decomposition Methods: High-Order Perturbation of Surfaces Implementations
Abstract: The faithful modeling of the propagation of linear waves in a layered,
periodic structure is of paramount importance in many branches of the
applied sciences, in particular, in the simulation and design of
multilayer plasmonic devices. In this talk we present a novel
numerical algorithm for the simulation of such problems which is free
of the artificial singularities present in related approaches. We
advocate for a non-overlapping domain decomposition method (DDM)
phrased in terms of Impedance-Impedance Operators that are immune to
the Dirichlet eigenvalues which plague the Dirichlet-Neumann Operators
that appear in classical formulations. We demonstrate a High-Order
Spectral algorithm to simulate these operators based upon a High-Order
Perturbation of Surfaces methodology which is rapid, robust, and
highly accurate. We demonstrate the validity and utility of our
approach with a sequence of numerical simulations.
Monday February 18, 2019 at 4:00 PM in 636 SEO