DIRECT AND INVERSE MEDIUM SCATTERING IN A THREE-DIMENSIONAL HOMOGENEOUS PLANAR WAVEGUIDE

被引:35
|
作者
Arens, Tilo [1 ]
Gintides, Drossos [2 ]
Lechleiter, Armin [3 ]
机构
[1] KIT, Inst Algebra & Geometry, D-76131 Karlsruhe, Germany
[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
[3] Ecole Polytech, INRIA Saclay Ile De France CMAP, F-91128 Palaiseau, France
关键词
scattering; inverse scattering; waveguide; FACTORIZATION METHOD; OCEAN;
D O I
10.1137/100806333
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Time-harmonic acoustic waves in an ocean of finite height are modeled by the Helmholtz equation inside a layer with suitable boundary conditions. Scattering in this geometry features phenomena unknown in free space: resonances might occur at special frequencies, and wave fields consist of partly evanescent modes. Inverse scattering in waveguides hence needs to cope with energy loss and limited aperture data due to the planar geometry. In this paper, we analyze direct wave scattering in a three-dimensional planar waveguide and show that resonance frequencies do not exist for a certain class of bounded penetrable scatterers. More important, we propose the factorization method for solving inverse scattering problems in the three-dimensional waveguide. This fast inversion method requires near-field data for special incident fields, and we rigorously show how to generate this data from standard point sources. Finally, we discuss our theoretical results in light of numerical examples.
引用
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页码:753 / 772
页数:20
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