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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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
-
A leap-frog nodal discontinuous Galerkin method for Maxwell polynomial chaos Debye model
Bai, Xixian | Niu, Chunyan | Shi, Dongyang | Zhang, YongweiComputers & Mathematics with Applications, Vol. 162 (2024), Iss. P.120
https://doi.org/10.1016/j.camwa.2024.03.006 [Citations: 0] -
A second-order space-time accurate scheme for Maxwell’s equations in a Cole–Cole dispersive medium
Bai, Xixian | Rui, HongxingEngineering with Computers, Vol. 38 (2022), Iss. 6 P.5153
https://doi.org/10.1007/s00366-021-01585-3 [Citations: 5] -
A finite element method for Maxwell polynomial chaos Debye model
Yao, Changhui | Zhou, Yuzhen | Jia, ShanghuiApplied Mathematics and Computation, Vol. 325 (2018), Iss. P.59
https://doi.org/10.1016/j.amc.2017.12.019 [Citations: 1] -
General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media
Liu, Jiangfan | Li, Huiping | Xi, XiaoliIET Microwaves, Antennas & Propagation, Vol. 15 (2021), Iss. 2 P.221
https://doi.org/10.1049/mia2.12040 [Citations: 2] -
An efficient FDTD algorithm for 2D/3D time fractional Maxwell’s system
Bai, Xixian | Rui, HongxingApplied Mathematics Letters, Vol. 116 (2021), Iss. P.106992
https://doi.org/10.1016/j.aml.2020.106992 [Citations: 8] -
Pinning Effect on Current-Induced Domain Wall Motion in Nanostrip
Yang, Lei
East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 4 P.837
https://doi.org/10.4208/eajam.181016.300517d [Citations: 3] -
Recent Developments in Mathematical, Statistical and Computational Sciences
Approximating Dispersive Materials with Parameter Distributions in the Lorentz Model
Alvarez, Jacqueline | Fisher, Andrew | Gibson, Nathan L.2021
https://doi.org/10.1007/978-3-030-63591-6_32 [Citations: 0] -
Numerical analysis of Finite-Difference Time-Domain method for 2D/3D Maxwell's equations in a Cole-Cole dispersive medium
Bai, Xixian | Wang, Shuang | Rui, HongxingComputers & Mathematics with Applications, Vol. 93 (2021), Iss. P.230
https://doi.org/10.1016/j.camwa.2021.04.015 [Citations: 14] -
Analysis of methods for the Maxwell-random Lorentz model
Fisher, Andrew | Alvarez, Jacqueline | Gibson, N.L.Results in Applied Mathematics, Vol. 8 (2020), Iss. P.100098
https://doi.org/10.1016/j.rinam.2020.100098 [Citations: 7]