Reconstruction of a small inclusion in a two-dimensional open waveguide

被引:31
|
作者
Ammari, H [1 ]
Iakovleva, E
Hyeonbae, KB
机构
[1] CNRS, UMR 7641, Ctr Math Appl, F-91128 Palaiseau, France
[2] Ecole Polytech, F-91128 Palaiseau, France
[3] Seoul Natl Univ, Sch Math Sci, Seoul 151747, South Korea
关键词
open waveguide; electromagnetic inclusion; reconstruction; MUSIC algorithm;
D O I
10.1137/040615389
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider wave propagation in a perturbed open waveguide. We provide a new asymptotic expansion for the scattered wave when the inclusion is of small diameter. We design a MUSIC (multiple signal classiffication) type of algorithm for locating the inclusion and illustrate its viability in numerical examples.
引用
收藏
页码:2107 / 2127
页数:21
相关论文
共 50 条
  • [41] TOPICS IN THE TWO-DIMENSIONAL SAMPLING AND RECONSTRUCTION OF IMAGES
    SCHOWENGERDT, R
    PARK, SK
    GRAY, R
    INTERNATIONAL JOURNAL OF REMOTE SENSING, 1984, 5 (02) : 333 - 347
  • [42] 4-DIMENSIONAL RECONSTRUCTION FROM TWO-DIMENSIONAL ECHOCARDIOGRAMS
    SCHOTT, JR
    MOOS, S
    RAQUENO, R
    GHOSH, A
    NANDA, NC
    CIRCULATION, 1986, 74 (04) : 144 - 144
  • [43] 3-DIMENSIONAL RECONSTRUCTION OF IMPERFECT TWO-DIMENSIONAL CRYSTALS
    SAXTON, WO
    BAUMEISTER, W
    HAHN, M
    ULTRAMICROSCOPY, 1984, 13 (1-2) : 57 - 70
  • [44] Two-dimensional picometer comb for three-dimensional reconstruction
    Ye, Jing
    Zhou, Changhe
    Yu, Junjie
    Xie, Yongfang
    Sun, Peng
    APPLIED OPTICS, 2020, 59 (33) : 10547 - 10553
  • [45] TWO-DIMENSIONAL SURGES AND SHOCKS IN OPEN CHANNELS
    KATOPODES, ND
    JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1984, 110 (06): : 794 - 812
  • [46] Topological invariant for two-dimensional open systems
    Zheng, Jun-Hui
    Hofstetter, Walter
    PHYSICAL REVIEW B, 2018, 97 (19)
  • [47] On the steady two-dimensional open channel flow
    Di Nucci, C.
    Spena, A. Russo
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (03) : 579 - 594
  • [48] Mimicking photon propagation through two-dimensional waveguide array by a one-dimensional waveguide array
    Paul, Surajit
    Thyagarajan, K.
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2015, 32 (06) : 1032 - 1039
  • [49] Reconstruction of a defect in an open waveguide
    Bao Gang
    Triki, Faouzi
    SCIENCE CHINA-MATHEMATICS, 2013, 56 (12) : 2539 - 2548
  • [50] Reconstruction of a defect in an open waveguide
    BAO Gang
    TRIKI Faouzi
    ScienceChina(Mathematics), 2013, 56 (12) : 2539 - 2548