Modified linear sampling method for inverse scattering by a partially coated dielectric

IF 0.9 4区 数学 Q2 MATHEMATICS
Jianli Xiang, Guozheng Yan
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引用次数: 0

Abstract

Consider time-harmonic electromagnetic wave scattering by an infinitely long, cylindrical, orthotropic dielectric partially coated with a very thin layer of a highly conductive material, which can be modeled by a transmission problem with mixed boundary conditions. Having established the well-posedness of the direct and interior transmission problem by the variational method under certain conditions, we make use of the classical linear sampling method to reconstruct the shape of the obstacle. Then, based on a modification of the general data-to-pattern operator G, we propose a novel and simple method to justify the modified linear sampling method.
部分涂层电介质反向散射的修正线性采样法
考虑时谐电磁波在无限长、圆柱形、正交电介质上的散射,电介质上部分涂有一层非常薄的高导电性材料,可以用具有混合边界条件的传输问题来模拟。在一定条件下,我们利用变分法确定了直接和内部传输问题的良好求解性,并利用经典线性采样法重建了障碍物的形状。然后,基于对一般数据到模式算子 G 的修正,我们提出了一种新颖而简单的方法来论证修正的线性采样法。
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来源期刊
Journal of Inverse and Ill-Posed Problems
Journal of Inverse and Ill-Posed Problems MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.60
自引率
9.10%
发文量
48
审稿时长
>12 weeks
期刊介绍: This journal aims to present original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justification of new numerical algorithms of inverse problem solutions are also published. Issues of the Journal of Inverse and Ill-Posed Problems contain high quality papers which have an innovative approach and topical interest. The following topics are covered: Inverse problems existence and uniqueness theorems stability estimates optimization and identification problems numerical methods Ill-posed problems regularization theory operator equations integral geometry Applications inverse problems in geophysics, electrodynamics and acoustics inverse problems in ecology inverse and ill-posed problems in medicine mathematical problems of tomography
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