On the direct and inverse electromagnetic scattering by chiral media

被引：0

作者：

Guo, Jun ^{[1
]}

Wang, Haibing ^{[2
,3
]}

机构：

[1] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China

[2] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

[3] Nanjing Ctr Appl Math, Nanjing 211135, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 317卷

基金：

中国国家自然科学基金;

关键词：

Inverse problem; Scattering theory; Boundary integral equation; Chiral media; Linear sampling method; LINEAR SAMPLING METHOD; MAXWELLS EQUATIONS; INTEGRAL-EQUATIONS; OBSTACLE;

D O I：

10.1016/j.jde.2022.02.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the direct and inverse electromagnetic scattering problems by a penetrable cylindrical chiral medium in a homogeneous achiral background medium. The scattering problem can be modeled by a pair of the two-dimensional Helmholtz equations with coupled transmission boundary conditions. The boundary integral equation method is applied to solve the direct scattering problem in a suitable Sobolev space. Then we investigate the linear sampling method for recovering the unknown scatterer from far-field pattern of the scattered field. The coupled boundary conditions bring new challenges during the procedure, and some novel techniques are needed in the theoretical analysis. Finally, we perform several numerical experiments to demonstrate the efficiency and effectiveness of this method. (C) 2022 Elsevier Inc. All rights reserved.

引用

页码：495 / 523

页数：29

共 42 条

[1] Maxwell's equations in periodic chiral structures [J].

Ammari, H ;

Bao, G .

MATHEMATISCHE NACHRICHTEN, 2003, 251 :3-18

[2]

Ammari H., 1997, MODERN MATH METHODS, V42, P174

[3]

Ammaxi H, 2008, J COMPUT MATH, V26, P261

[4] Electromagnetic scattering by a homogeneous chiral obstacle in a chiral environment [J].

Athanasiadis, C ;

Costakis, G ;

Stratis, IG .

IMA JOURNAL OF APPLIED MATHEMATICS, 2000, 64 (03) :245-258

[5] On the far field patterns for electromagnetic scattering by a chiral obstacle in a chiral environment [J].

Athanasiadis, C .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (02) :517-533

[6] Electromagnetic scattering by a homogeneous chiral obstacle: boundary integral equations and low-chirality approximations [J].

Athanasiadis, C ;

Martin, PA ;

Stratis, IG .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1999, 59 (05) :1745-1762

[7] THE INVERSE ELECTROMAGNETIC SCATTERING PROBLEM BY A MIXED IMPEDANCE SCREEN IN CHIRAL MEDIA [J].

Athanasiadis, Christodoulos E. ;

Sevroglou, Vassilios ;

Skourogiannis, Konstantinos I. .

INVERSE PROBLEMS AND IMAGING, 2015, 9 (04) :951-970

[8] Variational approximation of Maxwell's equations in biperiodic structures [J].

Bao, G .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1997, 57 (02) :364-381

[9] Lp estimates of time-harmonic Maxwell's equations in a bounded domain [J].

Bao, Gang ;

Li, Ying ;

Zhou, Zhengfang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (12) :3674-3686

[10] Lp estimates for Maxwell's equations with source term [J].

Bao, Gang ;

Minut, Aurelia ;

Zhou, Zhengfang .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 32 (7-9) :1449-1471

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