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Volume 31, Issue 5
Fast Acoustic Imaging for a 3D Penetrable Object Immersed in a Shallow Water Waveguide

Ju Qiu, Zhongbo Zhang & Wenfeng Pan

DOI: 10.4208/jcm.1304-m3983

J. Comp. Math., 31 (2013), pp. 449-469.

Published online: 2013-10

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  • Abstract

The paper is concerned with the inverse problem for reconstructing a 3D penetrable object in a shallow water waveguide from the far-field data of the scattered fields with many acoustic point source incidences. An indicator sampling method is analyzed and presented for fast imaging the size, shape and location of such a penetrable object. The method has the advantages that a priori knowledge is avoided for the geometrical and material properties of the penetrable obstacle and the many complicated iterative techniques are avoided during the inversion. Numerical examples are given of successful shape reconstructions for several 3D penetrable obstacles having a variety of shapes. In particular, numerical results show that the proposed method is able to produce a good reconstruction of the size, shape and location of the penetrable target even for the case where the incident and observation points are restricted to some limited apertures.

  • Keywords

Oceanic waveguide, Penetrable object, Inverse problems, Indicator sampling method.

  • AMS Subject Headings

35R25, 35P25, 76Q05, 65M30, 81U40.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-31-449, author = {Ju Qiu, Zhongbo Zhang and Wenfeng Pan}, title = {Fast Acoustic Imaging for a 3D Penetrable Object Immersed in a Shallow Water Waveguide}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {5}, pages = {449--469}, abstract = {

The paper is concerned with the inverse problem for reconstructing a 3D penetrable object in a shallow water waveguide from the far-field data of the scattered fields with many acoustic point source incidences. An indicator sampling method is analyzed and presented for fast imaging the size, shape and location of such a penetrable object. The method has the advantages that a priori knowledge is avoided for the geometrical and material properties of the penetrable obstacle and the many complicated iterative techniques are avoided during the inversion. Numerical examples are given of successful shape reconstructions for several 3D penetrable obstacles having a variety of shapes. In particular, numerical results show that the proposed method is able to produce a good reconstruction of the size, shape and location of the penetrable target even for the case where the incident and observation points are restricted to some limited apertures.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1304-m3983}, url = {http://global-sci.org/intro/article_detail/jcm/9747.html} }
TY - JOUR T1 - Fast Acoustic Imaging for a 3D Penetrable Object Immersed in a Shallow Water Waveguide AU - Ju Qiu, Zhongbo Zhang & Wenfeng Pan JO - Journal of Computational Mathematics VL - 5 SP - 449 EP - 469 PY - 2013 DA - 2013/10 SN - 31 DO - http://doi.org/10.4208/jcm.1304-m3983 UR - https://global-sci.org/intro/article_detail/jcm/9747.html KW - Oceanic waveguide, Penetrable object, Inverse problems, Indicator sampling method. AB -

The paper is concerned with the inverse problem for reconstructing a 3D penetrable object in a shallow water waveguide from the far-field data of the scattered fields with many acoustic point source incidences. An indicator sampling method is analyzed and presented for fast imaging the size, shape and location of such a penetrable object. The method has the advantages that a priori knowledge is avoided for the geometrical and material properties of the penetrable obstacle and the many complicated iterative techniques are avoided during the inversion. Numerical examples are given of successful shape reconstructions for several 3D penetrable obstacles having a variety of shapes. In particular, numerical results show that the proposed method is able to produce a good reconstruction of the size, shape and location of the penetrable target even for the case where the incident and observation points are restricted to some limited apertures.

Ju Qiu, Zhongbo Zhang and Wenfeng Pan. (2013). Fast Acoustic Imaging for a 3D Penetrable Object Immersed in a Shallow Water Waveguide. Journal of Computational Mathematics. 31 (5). 449-469. doi:10.4208/jcm.1304-m3983
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