A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media

被引：40
|
作者：
Cakoni, F [1 ]
Colton, D [1 ]
机构：
[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2003年 / 46卷
关键词：
anisotropic media; electromagnetic scattering; conductive boundary condition; inverse scattering; mixed boundary conditions; transmission problem;
D O I：
10.1017/S0013091502000664
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the support of a (possibly) coated anisotropic medium is uniquely determined by the electric far-field patterns corresponding to incident time-harmonic electromagnetic plane waves with arbitrary polarization and direction. Our proof avoids the use of a fundamental solution to Maxwell's equations in an anisotropic medium and instead relies on the well-posedness and regularity properties of solutions to an interior transmission problem for Maxwell's equations.
引用
收藏
页码：293 / 314
页数：22
相关论文
共 50 条
  • [1] Inverse Scattering Problem in Anisotropic Media
    Gregory Eskin
    Communications in Mathematical Physics, 1998, 199 : 471 - 491
  • [2] Uniqueness results in the inverse scattering problem for periodic structures
    Yang, Jiaqing
    Zhang, Bo
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (07) : 828 - 838
  • [3] On uniqueness for an inverse problem in inhomogeneous elasticity
    Hähner, P
    IMA JOURNAL OF APPLIED MATHEMATICS, 2002, 67 (02) : 127 - 143
  • [4] Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media
    Zhao, Meiling
    He, Jiahui
    Wang, Liqun
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2023, 34 (02) : 530 - 562
  • [5] THE INTERIOR TRANSMISSION PROBLEM AND INVERSE SCATTERING FROM INHOMOGENEOUS-MEDIA
    RYNNE, BP
    SLEEMAN, BD
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1991, 22 (06) : 1755 - 1762
  • [6] Efficient Nystrom Solutions of Electromagnetic Scattering by Composite Objects With Inhomogeneous Anisotropic Media
    Yang, Kuo
    Zhou, Jia Cheng
    Sheng, Wei Tian
    Zhu, Zhen Ying
    Tong, Mei Song
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2013, 61 (10) : 5328 - 5332
  • [7] Simulation of 3-D Electromagnetic Scattering and Inverse Scattering by Arbitrary Anisotropic Dielectric Objects Embedded in Layered Arbitrary Anisotropic Media
    Wang, Jianwen
    Li, Jiawen
    Chen, Yanjin
    Han, Feng
    Liu, Qing Huo
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2020, 68 (08) : 6473 - 6478
  • [8] Uniqueness in phaseless inverse electromagnetic scattering problem with known superposition of incident electric dipoles
    Niu, Tian
    Lv, Junliang
    Wu, Dan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (17) : 17692 - 17703
  • [9] The efficient solution of electromagnetic scattering for inhomogeneous media
    Egidi, Nadaniela
    Gobbi, Romina
    Maponi, Pierluigi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 210 (1-2) : 175 - 182
  • [10] Electromagnetic scattering by an inhomogeneous plasma anisotropic sphere of multilayers
    Geng, YL
    Wu, XB
    Li, LW
    Guan, BR
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2005, 53 (12) : 3982 - 3989
12345