A Polynomial Chaos Method for Dispersive Electromagnetics

Nathan Gibson, Oregon State University

2:45 - 3:30

Electromagnetic wave propagation in complex dispersive media is governed by the time dependent Maxwell's equations coupled to equations that describe the evolution of the induced macroscopic polarization. We consider "polydispersive" materials represented by distributions of dielectric parameters in a polarization model. The work focuses on a novel computational framework for such problems involving generalized Polynomial Chaos expansions as a method to improve the modeling accuracy of the Debye model while allowing for easy analysis and simulation using the Finite Difference Time Domain (FDTD) method. We will present a stability and dispersion analysis of the overall method and numerically demonstrate convergence rates and parameter estimation.