A Polynomial Chaos Method for Dispersive Electromagnetics. (23rd November 2015)

• Record Type: Journal Article
• Authors: Gibson, Nathan L.
• Is Part Of: Communications in computational physics. Volume 18:Number 5(2015:Nov.)
• Page Start: 1234
• Page End: 1263
• Publication Date: 2015-11-23
• Subjects: 35Q61, -- 65C99, -- 65M06, -- 65M12; Maxwell's equations, -- Debye polarization, -- relaxation time distribution, -- FDTD; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.230714.100315a
• Languages: English
• ISSNs: 1815-2406

Abstract

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 analyzes are performed for the approach utilizing the second order Yee scheme in two spatial dimensions.