Mathematical and numerical methods in inverse acoustic scattering theory

被引：0
|
作者：
Colton, D [1 ]
Monk, P [1 ]
机构：
[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2001年 / 81卷 / 11期
关键词：
D O I：
10.1002/1521-4001(200111)81:11<723::AID-ZAMM723>3.0.CO;2-C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A survey is given of the inverse acoustic scattering problem of determining the support of an inhomogeneous obstacle from a knowledge of the incident and scattered tune-harmonic fields where the obstacle is situated in a homogeneous or piecewise homogeneous medium. Numerical examples are given for the determination of the support of buried obstacles in the lower half-space from near field data on a bounded region in the upper half-space.
引用
收藏
页码：723 / 731
页数：9
相关论文
共 50 条
  • [1] On numerical methods of solving inverse problem of quantum scattering theory
    Zhidkov, EP
    Airapetyan, RG
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1996, (06): : 38 - 40
  • [2] Inverse scattering theory: Strategies based on the volterra inverse series for acoustic scattering
    Kouri, DJ
    Vijay, A
    Hoffman, DK
    JOURNAL OF PHYSICAL CHEMISTRY B, 2004, 108 (29): : 10522 - 10528
  • [3] Gradient methods in inverse acoustic and electromagnetic scattering
    Van Den Berg, PM
    Kleinman, RE
    LARGE-SCALE OPTIMIZATION WITH APPLICATIONS, PT I: OPTIMIZATION IN INVERSE PROBLEMS AND DESIGN, 1997, 92 : 173 - 194
  • [4] Recent developments in inverse acoustic scattering theory
    Colton, D
    Coyle, J
    Monk, P
    SIAM REVIEW, 2000, 42 (03) : 369 - 414
  • [5] Analytic methods for inverse scattering theory
    Päivärinta, L
    NEW ANALYTIC AND GEOMETRIC METHODS IN INVERSE PROBLEMS, 2004, : 165 - 185
  • [6] Qualitative methods in inverse scattering theory
    Colton, DL
    INVERSE PROBLEMS IN MEDICAL IMAGING AND NONDESTRUCTIVE TESTING, 1997, : 36 - 42
  • [7] INTERWINING METHODS IN THE THEORY OF INVERSE SCATTERING
    MELIN, A
    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1987, 31 (05) : 739 - 746
  • [8] Mathematical Scattering Theory in Quantum and Acoustic Waveguides
    Plamenevskii B.A.
    Poretskii A.S.
    Sarafanov O.V.
    Journal of Mathematical Sciences, 2022, 262 (3) : 329 - 357
  • [9] Qualitative Methods in Inverse Electromagnetic Scattering Theory Inverse scattering for anisotropic media
    Cakoni, Fioralba
    Colton, David
    Monk, Peter
    IEEE ANTENNAS AND PROPAGATION MAGAZINE, 2017, 59 (05) : 24 - 33
  • [10] 2 METHODS FOR SOLVING THE INVERSE ACOUSTIC SCATTERING PROBLEM
    KIRSCH, A
    KRESS, R
    MONK, P
    ZINN, A
    INVERSE PROBLEMS, 1988, 4 (03) : 749 - 770
12345