Abstract
We propose a stochastic hybrid implicit-explicit finite-difference time-domain method (S-HIE-FDTD) to compute the mean and variance of the electromagnetic (EM) fields using a single simulation, given those of the conductivity and permittivity in the computation domain. The mean and variance field update equations underlying the proposed method are derived from the field update equations of the 'traditional' deterministic HIE-FDTD. The Courant-Friedrichs-Lewy condition of the S-HIE-FDTD depends on the spatial discretization sizes only in two dimensions; therefore, for computation domains with fine geometric features only in the remaining dimension, it uses a time step size that is larger than that of fully explicit schemes. Indeed, numerical results demonstrate that the proposed method is faster than the previously developed stochastic FDTD in computing the mean and variance of the EM fields in two different problems: wave propagation through a multilayer human tissue and transmission through a frequency selective surface.
Recommended Citation
K. Niu et al., "An Efficient 3-D Stochastic HIE-FDTD Algorithm For Investigation Of Statistical Variation In Electromagnetic Field," IEEE Transactions on Antennas and Propagation, vol. 68, no. 12, pp. 8227 - 8232, article no. 9064721, Institute of Electrical and Electronics Engineers, Dec 2020.
The definitive version is available at https://doi.org/10.1109/TAP.2020.2986060
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method; statistical analysis; stochastic parameter; weakly conditional stability
International Standard Serial Number (ISSN)
1558-2221; 0018-926X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Dec 2020
Comments
National Natural Science Foundation of China, Grant 61722101