Modeling of spatial permittivity variations using Karhunen–Loève expansion for stochastic electromagnetic problems

Gladwin, KTJ and Vinoy, KJ (2022) Modeling of spatial permittivity variations using Karhunen–Loève expansion for stochastic electromagnetic problems. In: International Journal of RF and Microwave Computer-Aided Engineering .

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Abstract

Fabrication tolerance often causes spatial variations in material properties in electromagnetic systems. In this paper, these spatial variations are modeled using Karhunen–Loéve expansion, which is truncated for a finite dimensional representation. Uncertainty quantification is performed by incorporating this model into an intrusive polynomial chaos expansion based spectral stochastic finite element method. Using a numerical example, it has been shown that the stochastic response obtained by the proposed approach is accurate and computationally efficient. The impact of correlation length of the covariance function used in the spectral expansion is analyzed.

Item Type:	Journal Article
Publication:	International Journal of RF and Microwave Computer-Aided Engineering
Publisher:	John Wiley and Sons Inc
Additional Information:	THe copyright of this article belongs to the John Wiley and Sons Inc.
Keywords:	Finite element method; Stochastic models; Stochastic systems; Uncertainty analysis, Chaos expansions; Karhunen Loeve Expansion; Permittivity variation; Polynomial chaos; Polynomial chaos expansion; Spatial variations; Spectral finite element method; Stochastic spectral finite element method; Stochastics; Uncertainty quantifications, Permittivity
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	10 Jul 2022 05:30
Last Modified:	10 Jul 2022 05:30
URI:	https://eprints.iisc.ac.in/id/eprint/74549

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