TY - GEN
T1 - Stochastic-Galerkin Finite-Difference Time-Domain for Waves in Random Layered Media
AU - Huang, Der Han
AU - Cangellaris, Andreas C.
AU - Chen, Xu
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/12/7
Y1 - 2020/12/7
N2 - The authors introduce a Stochastic Finite-Difference Time Domain solver formulation based on Stochastic Galerkin Method. The solver can calculate the statistics of the wave in time domain, including mean, standard deviation at each time step. The method uses a single simulation of an expanded system, without the need for repeated simulations like Monte Carlo analysis. We demonstrate the method is accurate for computing random total waves in layered media with Gaussian random permittivity and conductivity. We also demonstrate the method for simulating materials with Bernoulli distributed random profiles, which is used to model material that may or may not exist. Results accuracy and computation time compare favorably to Monte Carlo simulations.
AB - The authors introduce a Stochastic Finite-Difference Time Domain solver formulation based on Stochastic Galerkin Method. The solver can calculate the statistics of the wave in time domain, including mean, standard deviation at each time step. The method uses a single simulation of an expanded system, without the need for repeated simulations like Monte Carlo analysis. We demonstrate the method is accurate for computing random total waves in layered media with Gaussian random permittivity and conductivity. We also demonstrate the method for simulating materials with Bernoulli distributed random profiles, which is used to model material that may or may not exist. Results accuracy and computation time compare favorably to Monte Carlo simulations.
KW - Computational electromagnetic
KW - finite-difference time-domain (FDTD)
KW - polynomial chaos
KW - random media
KW - uncertainty analysis
KW - uncertainty quantification
UR - http://www.scopus.com/inward/record.url?scp=85101274946&partnerID=8YFLogxK
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U2 - 10.1109/NEMO49486.2020.9343635
DO - 10.1109/NEMO49486.2020.9343635
M3 - Conference contribution
AN - SCOPUS:85101274946
T3 - 2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, NEMO 2020
BT - 2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, NEMO 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, NEMO 2020
Y2 - 7 December 2020 through 9 December 2020
ER -