The linear sampling method for anisotropic media

被引：79
|
作者：
Cakoni, F [1 ]
Colton, D [1 ]
Haddar, H [1 ]
机构：
[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 146卷 / 02期
关键词：
inverse scattering; anisotropic medium; linear sampling method;
D O I：
10.1016/S0377-0427(02)00361-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the inverse scattering problem of determining the support of an anisotropic inhomogeneous medium from a knowledge of the incident and scattered time harmonic acoustic wave at fixed frequency. To this end, we extend the linear sampling method from the isotropic case to the case of anisotropic medium. In the case when the coefficients are real we also show that the set of transmission eigenvalues forms a discrete set. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：285 / 299
页数：15
相关论文
共 50 条
  • [21] The effect of resonance on the linear sampling method
    Haghparast, Maysam
    Mirtaheri, Seyyed A.
    Abrishamian, Mohammad S.
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2016, 24 (03): : 265 - 274
  • [22] Numerical validation of the linear sampling method
    Tacchino, A
    Coyle, J
    Piana, M
    INVERSE PROBLEMS, 2002, 18 (03) : 511 - 527
  • [23] The linear sampling method and energy conservation
    Aramini, R.
    Caviglia, G.
    Massa, A.
    Piana, M.
    INVERSE PROBLEMS, 2010, 26 (05)
  • [24] The linear sampling method and the MUSIC algorithm
    Cheney, M
    INVERSE PROBLEMS, 2001, 17 (04) : 591 - 595
  • [25] Simulation of the crosshole method in isotropic and anisotropic media
    Kim, SM
    Liao, ST
    Roesset, JM
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 1999, 23 (11) : 1101 - 1119
  • [26] Negative Poisson's ratios in anisotropic linear elastic media
    Ting, TCT
    Barnett, DM
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2005, 72 (06): : 929 - 931
  • [27] WAVE-PROPAGATION CONDITION IN LINEAR ANISOTROPIC VISCOELASTIC MEDIA
    CAVIGLIA, G
    MORRO, A
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (07) : 1059 - 1074
  • [28] NON-LINEAR WAVES IN SLIGHTLY ANISOTROPIC ELASTIC MEDIA
    KULIKOVSKII, AG
    SVESHNIKOVA, EI
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1988, 52 (01): : 86 - 90
  • [29] Controllable Rotations of Spiraling Elliptic Beams in Anisotropic Linear Media
    Liang, Guo
    Jia, Tingjian
    Ren, Zhanmei
    IEEE PHOTONICS JOURNAL, 2017, 9 (05):
  • [30] CONSTITUTIVE RELATIONS OF LINEAR BI-ANISOTROPIC MEDIA - RESPONSE
    WEIGLHOFER, WS
    LAKHTAKIA, A
    IEEE ANTENNAS AND PROPAGATION MAGAZINE, 1995, 37 (05) : 96 - 99
12345