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Open AccessArticle

A Stochastic Finite-Difference Time-Domain (FDTD) Method for Assessing Material and Geometric Uncertainties in Rectangular Objects

1
Department of Electrical and Computer Engineering, University of Western Macedonia, Kozani 50131, Greece
2
Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece
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Author to whom correspondence should be addressed.
This work is an extended version of our paper published in the Proceedings of the 8th International Conference on Modern Circuits and Systems Technologies (MOCAST2019) on Electronics and Communications, Thessaloniki, Greece, 13–15 May 2019.
Technologies 2020, 8(1), 12; https://doi.org/10.3390/technologies8010012
Received: 8 December 2019 / Revised: 5 January 2020 / Accepted: 23 January 2020 / Published: 27 January 2020
The uncertainties present in a variety of electromagnetic (EM) problems may have important effects on the output parameters of interest. Unfortunately, deterministic schemes are not applicable in such cases, as they only utilize the nominal value of each random variable. In this work, a two-dimensional (2D) finite-difference time-domain (FDTD) algorithm is presented, which is suitable for assessing randomness in the electrical properties, as well as in the dimensions of orthogonal objects. The proposed technique is based on the stochastic FDTD method and manages to extract the mean and the standard deviation of the involved field quantities in one realization. This approach is applied to three test cases, where uncertainty exists in the electrical and geometrical parameters of various materials. The numerical results demonstrate the validity of our scheme, as similar outcomes are extracted compared to the Monte Carlo (MC) algorithm. View Full-Text
Keywords: finite-difference time-domain method; Monte Carlo; Stochastic FDTD; uncertainty problems; material uncertainties; geometric uncertainties finite-difference time-domain method; Monte Carlo; Stochastic FDTD; uncertainty problems; material uncertainties; geometric uncertainties
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Salis, C.; Kantartzis, N.; Zygiridis, T. A Stochastic Finite-Difference Time-Domain (FDTD) Method for Assessing Material and Geometric Uncertainties in Rectangular Objects. Technologies 2020, 8, 12.

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