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Determination of Random Periodic Structures in Transverse Magnetic Polarization

Determination of Random Periodic Structures in Transverse Magnetic Polarization
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Year:    2021

Author:    Bao Gang, Yiwen Lin

Communications in Mathematical Research , Vol. 37 (2021), Iss. 3 : pp. 271–296

Abstract

Consider an inverse problem that aims to identify key statistical properties of the profile for the unknown random perfectly conducting grating structure by boundary measurements of the diffracted fields in transverse magnetic polarization. The method proposed in this paper is based on a novel combination of the Monte Carlo technique, a continuation method and the Karhunen-Loève expansion for the uncertainty quantification of the random structure. Numerical results are presented to demonstrate the effectiveness of the proposed method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmr.2021-0003

Communications in Mathematical Research , Vol. 37 (2021), Iss. 3 : pp. 271–296

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    Random periodic structure inverse scattering Karhunen-Loève expansion Monte Carlo-continuation-uncertainty quantification method.

Author Details

Bao Gang

Yiwen Lin

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