The factorization method for the inverse scattering problem from thin dielectric objects

被引:0
|
作者
Wu, Qinghua [1 ,2 ]
Yan, Guozheng [1 ]
机构
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China
[2] Hubei Engn Univ, Sch Math & Stat, Xiaogan, Peoples R China
关键词
Inverse scattering problem; Factorization method; Open arc; FAR-FIELD;
D O I
10.1007/s40314-015-0285-5
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 shape and position of a thin dielectric infinite cylinder having an open arc as cross section from the knowledge of the related far field data. The mathematical analysis is given to prove the validity of the factorization method for reconstructing the shape of the arc. Some numerical examples are proposed to show the efficaciousness of the algorithms.
引用
收藏
页码:1099 / 1112
页数:14
相关论文
共 50 条
  • [31] A Method for Solving the Inverse Scattering Problem for Shape and Impedance of Crack
    Yang, Ali
    Wang, Liantang
    Li, Xiaohua
    NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2013, 6 (02): : 343 - 352
  • [33] A second degree Newton method for an inverse obstacle scattering problem
    Kress, Rainer
    Lee, Kuo-Ming
    JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (20) : 7661 - 7669
  • [34] The Fourier-Bessel method for the inverse scattering problem of cavities
    Yang, Xiaoying
    Du, Xinwei
    Wang, Yinglin
    APPLICABLE ANALYSIS, 2023, 102 (14) : 3813 - 3821
  • [35] A second degree Newton method in inverse scattering problem for a crack
    Lee, Kuo-Ming
    JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (04)
  • [36] The reciprocity gap functional method for the inverse scattering problem for cavities
    Sun, Yao
    Guo, Yukun
    Ma, Fuming
    APPLICABLE ANALYSIS, 2016, 95 (06) : 1327 - 1346
  • [37] A NEURAL NETWORK METHOD FOR THE INVERSE SCATTERING PROBLEM OF IMPENETRABLE CAVITIES
    Yin, Weishi
    Ge, Jiawei
    Meng, Pinchao
    Qu, Fuheng
    ELECTRONIC RESEARCH ARCHIVE, 2020, 28 (02): : 1123 - 1142
  • [38] An iterative ensemble Kalman method for an inverse scattering problem in acoustics
    Li, Zhaoxing
    MODERN PHYSICS LETTERS B, 2020, 34 (28):
  • [39] THE FACTORIZATION METHOD FOR RECONSTRUCTING A PENETRABLE OBSTACLE WITH UNKNOWN BURIED OBJECTS
    Yang, Jiaqing
    Zhang, Bo
    Zhang, Haiwen
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2013, 73 (02) : 617 - 635
  • [40] Two direct factorization methods for inverse scattering problems
    Leem, Koung Hee
    Liu, Jun
    Pelekanos, George
    INVERSE PROBLEMS, 2018, 34 (12)