A 3-D Polynomial-Chaos FDTD Technique for Complex Inhomogeneous Media with Arbitrary Stochastically-Varying Index Gradients

Authors

  • Georgios G. Pyrialakos Department of Electrical and Computer Engineering Aristotle University of Thessaloniki, Thessaloniki, 54124, Greece
  • Theodoros T. Zygiridis Department of Informatics and Telecommunications Engineering University of Western Macedonia, Kozani, 50100, Greece
  • Nikolaos V. Kantartzis Department of Electrical and Computer Engineering Aristotle University of Thessaloniki, Thessaloniki, 54124, Greece

Keywords:

Advanced FDTD methods, polynomial chaos, random media, stochastic process, uncertainties

Abstract

An enhanced finite-difference time-domain algorithm featuring the polynomial chaos representation is introduced in this paper for problems with stochastic uncertainties. Focusing on the solution of the governing partial differential equations, the new 3-D method uses the Karhunen-Loève expansion to effectively decorrelate random input parameters denoted by stochastic processes. So, the space dimension is seriously reduced and high accuracy levels are attained, even for media with abrupt and fully unknown statistical variations. These profits are verified via a detailed numerical study.

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References

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Published

2021-07-25

How to Cite

[1]
Georgios G. Pyrialakos, Theodoros T. Zygiridis, and Nikolaos V. Kantartzis, “A 3-D Polynomial-Chaos FDTD Technique for Complex Inhomogeneous Media with Arbitrary Stochastically-Varying Index Gradients”, ACES Journal, vol. 33, no. 02, pp. 144–147, Jul. 2021.

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