Correlation coefficient estimation for stochastic FDTD method

This paper presents a scheme to improve the accuracy of the stochastic FDTD (S-FDTD) method. The S-FDTD calculates the variations in the electromagnetic fields caused by variability or uncertainty in the electrical properties. The accuracy of the S-FDTD method is controlled by the approximations for...

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Bibliographic Details
Main Authors: Bisheh, Khadijeh Masumnia, Zakeri, Bijan, Andargoli, Seyed Mehdi Hosseini
Format: Conference Proceeding
Language:English
Subjects:
Approximation methods
Correlation coefficient
Equations
FDTD
Finite difference methods
Mathematical model
MC-CC
Monte Carlo
Monte Carlo methods
S-FDTD
Time-domain analysis
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Summary:This paper presents a scheme to improve the accuracy of the stochastic FDTD (S-FDTD) method. The S-FDTD calculates the variations in the electromagnetic fields caused by variability or uncertainty in the electrical properties. The accuracy of the S-FDTD method is controlled by the approximations for the correlation coefficients of the fields and the electrical properties. In this paper, a new approximation for the correlation coefficients is estimated through Monte Carlo method with a small number of runs, i.e. Monte Carlo correlation coefficient (MC-CC). Numerical results for two bio electromagnetic examples demonstrate that MC-CC can improve the accuracy of the S-FDTD method in comparison with previous approximations.
DOI:10.1109/ISTEL.2014.7000704