학술논문

A Stochastic FDTD Method for the Analyses of Geometrical and Media Uncertainties Based on the Conditional Probability
Document Type
Periodical
Source
IEEE Transactions on Electromagnetic Compatibility IEEE Trans. Electromagn. Compat. Electromagnetic Compatibility, IEEE Transactions on. 66(1):189-194 Feb, 2024
Subject
Fields, Waves and Electromagnetics
Engineered Materials, Dielectrics and Plasmas
Correlation
Uncertainty
Probability density function
Media
Standards
Mathematical models
Stochastic processes
Conditional probability
geometry uncertainties
improved correlation coefficient
Monte Carlo (MC)
stochastic FDTD (S-FDTD)
Language
ISSN
0018-9375
1558-187X
Abstract
A stochastic finite-difference time-domain approach for analyzing geometrical and media uncertainty is described. The proposed method can convert the geometry uncertainties into media uncertainties based on the conditional probability. It can solve 1-D, 2-D, and 3-D problems. In order to improve the accuracy of the method, the improved correlation coefficients related to space division are proposed. The proposed method and improved correlation coefficients are validated with simulations of both 1-D and 3-D stochastic scattering objects. The simulation results agree well with the results of the Monte Carlo (MC) method, while the computation time of this method is only about 2% of the time consumption of the MC method.