Determination of Random Periodic Structures in Transverse Magnetic Polarization

• 作者: Gang Bao Yiwen Lin
• 来源期刊: 数学研究通讯
• 年，卷（期）: 2021,（3）
• 页码范围: 271-296
• 页数: 26页
• 语种: 英文
• DOI: 10.4208/cmr.2021-0003

摘要

Consider an inverse problem that aims to identify key statistical pro-perties of the profile for the unknown random perfectly conducting grating structure by boundary measurements of the diffracted fields in transverse mag-netic 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.