The conductive problem for Maxwell's equations at low frequencies

被引:0
|
作者
Athanasiadis, C
Stratis, IG
机构
[1] Department of Mathematics, University of Athens, Panepistemiopolis
关键词
conductive boundary condition; low frequency theory; scattering amplitude; scattering cross-section;
D O I
10.1016/S0893-9659(97)00067-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the scattering problem in the case where a low frequency plane electromagnetic wave is incident upon a body covered by a thin layer of very high conductivity. We develop convergent series solutions in powers of the wavenumber for the electric field, and the scattering amplitude. Moreover, we evaluate the leading term of the scattering amplitude and of the scattering cross-section.
引用
收藏
页码:101 / 105
页数:5
相关论文
共 50 条
  • [21] Maxwell's equations in a rotating medium: Is there a problem - Comment
    Burrows, ML
    AMERICAN JOURNAL OF PHYSICS, 1997, 65 (09) : 929 - 931
  • [22] THE GOURSAT PROBLEM FOR MAXWELL EQUATIONS
    HILLION, P
    JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (12) : 3085 - 3088
  • [23] Multidimensional Generalized Riemann Problem Solver for Maxwell’s Equations
    Arijit Hazra
    Dinshaw S. Balsara
    Praveen Chandrashekar
    Sudip K. Garain
    Journal of Scientific Computing, 2023, 96
  • [24] An inverse problem for Maxwell's equations in a uniaxially anisotropic medium
    Shang, Yunxia
    Zhao, Lixia
    Li, Shumin
    Ning, Wuqing
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 456 (02) : 1415 - 1441
  • [25] Multidimensional Generalized Riemann Problem Solver for Maxwell's Equations
    Hazra, Arijit
    Balsara, Dinshaw S.
    Chandrashekar, Praveen
    Garain, Sudip K.
    JOURNAL OF SCIENTIFIC COMPUTING, 2023, 96 (01)
  • [26] A rigorous solution of Maxwell's equations for the problem of tissue optics
    Tseng, SH
    Taflove, A
    Maitland, D
    Backman, V
    Walsh, JT
    LASERS IN SURGERY AND MEDICINE, 2005, : 3 - 3
  • [27] ANALYSIS OF SOLUTION ALGORITHM FOR THE INVERSE PROBLEM FOR MAXWELL'S EQUATIONS
    Mamatkasymova, A. T.
    Satybaev, A. D.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2015, 12 : C104 - C113
  • [28] BOUNDARY INTEGRAL EQUATIONS FOR THE TRANSMISSION EIGENVALUE PROBLEM FOR MAXWELL'S EQUATION S
    Cakoni, Fioralba
    Haddar, Houssem
    Meng, Shixu
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2015, 27 (03) : 375 - 406
  • [29] MAXWELL'S EQUATIONS
    Turnbull, Graham
    PROCEEDINGS OF THE IEEE, 2013, 101 (07) : 1801 - 1805
  • [30] The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem
    Haddar, H
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (18) : 2111 - 2129