Inverse acoustic problem of N homogeneous scatterers

被引:1
|
作者
Berntsen, S [1 ]
机构
[1] Univ Aalborg, Dept Math, DK-9220 Aalborg O, Denmark
关键词
D O I
10.1088/0266-5611/18/3/314
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The three-dimensional inverse acoustic medium problem of N homogeneous objects with known geometry and location is considered. It is proven that one scattering experiment is sufficient for the unique determination of the complex wavenumbers of the objects. The mapping from the scattered field at a plane below all scatterers onto the field and the complex wavenumbers is explicitly constructed. Uniqueness theorems for the inverse problem are proven.
引用
收藏
页码:737 / 743
页数:7
相关论文
共 50 条
  • [31] Homogeneous differential equations and the inverse problem of the calculus of variations
    Rossi, Olga
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2014, 84 (1-2): : 165 - 188
  • [32] Uniqueness in the inverse scattering problem in a piecewise homogeneous medium
    Liu, Xiaodong
    Zhang, Bo
    Hu, Guanghui
    INVERSE PROBLEMS, 2010, 26 (01)
  • [33] Inverse Problem in Convex Optimization with Linear Homogeneous Constraints
    Masarwah, Noha
    Aloqeili, Marwan
    JOURNAL OF CONVEX ANALYSIS, 2018, 25 (03) : 717 - 736
  • [34] Increasing stability in an inverse problem for the acoustic equation
    Nagayasu, Sei
    Uhlmann, Gunther
    Wang, Jenn-Nan
    INVERSE PROBLEMS, 2013, 29 (02)
  • [35] Stability estimate for an inverse acoustic backscattering problem
    Wang, JN
    INVERSE PROBLEMS, 1998, 14 (01) : 197 - 207
  • [36] THE INVERSE SCATTERING PROBLEM FOR ACOUSTIC-WAVES
    COLTON, D
    LECTURE NOTES IN MATHEMATICS, 1982, 964 : 143 - 161
  • [37] Reflectance of acoustic horns and solution of the inverse problem
    Rasetshwane, Daniel M.
    Neely, Stephen T.
    Allen, Jont B.
    Shera, Christopher A.
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2012, 131 (03): : 1863 - 1873
  • [38] An inverse acoustic waveguide problem in the time domain
    Monk, Peter
    Selgas, Virginia
    INVERSE PROBLEMS, 2016, 32 (05)
  • [39] UNIQUENESS THEOREMS FOR THE INVERSE PROBLEM OF ACOUSTIC SCATTERING
    COLTON, D
    SLEEMAN, BD
    IMA JOURNAL OF APPLIED MATHEMATICS, 1983, 31 (03) : 253 - 259
  • [40] A MULTIDIMENSIONAL INVERSE PROBLEM IN QUANTUM AND ACOUSTIC SCATTERING
    HENKIN, GM
    NOVIKOV, RG
    INVERSE PROBLEMS, 1988, 4 (01) : 103 - 121