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Volume 37, Issue 3
Determination of Random Periodic Structures in Transverse Magnetic Polarization

Bao Gang & Yiwen Lin

DOI: 10.4208/cmr.2021-0003

Commun. Math. Res., 37 (2021), pp. 271-296.

Published online: 2021-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

78A46, 65C30, 65N21

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-37-271, author = {Gang , Bao and Lin , Yiwen}, title = {Determination of Random Periodic Structures in Transverse Magnetic Polarization}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {37}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2021-0003}, url = {http://global-sci.org/intro/article_detail/cmr/19263.html} }
TY - JOUR T1 - Determination of Random Periodic Structures in Transverse Magnetic Polarization AU - Gang , Bao AU - Lin , Yiwen JO - Communications in Mathematical Research VL - 3 SP - 271 EP - 296 PY - 2021 DA - 2021/06 SN - 37 DO - http://doi.org/10.4208/cmr.2021-0003 UR - https://global-sci.org/intro/article_detail/cmr/19263.html KW - Random periodic structure, inverse scattering, Karhunen-Loève expansion, Monte Carlo-continuation-uncertainty quantification method. AB -

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.

Gang , Bao and Lin , Yiwen. (2021). Determination of Random Periodic Structures in Transverse Magnetic Polarization. Communications in Mathematical Research . 37 (3). 271-296. doi:10.4208/cmr.2021-0003
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