An unconditionally stable technique for uncertainty assessment in random media based on the ADI scheme

Abstract

Stochastic media problems present a severe impact on the properties of the electromagnetic fields that usually deterministic methods tend to overlook. In this paper, we present a finite-difference time-domain (FDTD) technique, which is free from time step restrictions and manages to efficiently calculate the statistics of the involved fields in one realization. The proposed algorithm is a variation of the Stochastic FDTD method and exhibits satisfactory outcomes in high density grids. Numerical results verify the validity of our scheme compared to other methods, such as the Stochastic FDTD and the Monte Carlo techniques.

Keywords:

• Finite-difference time-domain method
• ADI-FDTD technique
• stochastic FDTD technique
• stochastic ADI-FDTD scheme
• Monte Carlo techniques
• random media problems

Acknowledgements

C. I. Salis acknowledges the financial support of Bodossaki Foundation.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partially supported by Bodossaki Foundation.