A Polynomial Chaos Method for Dispersive Electromagnetics

A Polynomial Chaos Method for Dispersive Electromagnetics

Year:    2015

Communications in Computational Physics, Vol. 18 (2015), Iss. 5 : pp. 1234–1263

Abstract

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 Polynomial Chaos Expansions as a method to improve the modeling accuracy of the Debye model and allow for easy simulation using the Finite Difference Time Domain (FDTD) method. Stability and dispersion analyses are performed for the approach utilizing the second order Yee scheme in two spatial dimensions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.230714.100315a

Communications in Computational Physics, Vol. 18 (2015), Iss. 5 : pp. 1234–1263

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    30

Keywords: