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Volume 26, Issue 3
Direct Imaging of Inhomogeneous Obstacles in a Three-Layered Ocean Waveguide

Keji Liu

Commun. Comput. Phys., 26 (2019), pp. 700-718.

Published online: 2019-04

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  • Abstract

In this work, we have proven the inhomogeneous obstacle can be uniquely determined by the measured acoustic pressure data and have proposed an extended multilevel sampling method. The extended recovery approach only applies the matrix-vector operations to estimate the inhomogeneous media from the received partial data. In practice, the method is capable of reconstructing the objects of different shapes and locations, robust against noise, computationally fairly cheap and easy to carry out. We can consider it as a simple and direct algorithm to supply satisfactory initial locations for the application of any existing more refined and precise but computationally more demanding techniques to achieve accurate reconstructions of physical features of scatterers.

  • AMS Subject Headings

35R30, 41A27, 76Q05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-26-700, author = {Keji Liu}, title = {Direct Imaging of Inhomogeneous Obstacles in a Three-Layered Ocean Waveguide}, journal = {Communications in Computational Physics}, year = {2019}, volume = {26}, number = {3}, pages = {700--718}, abstract = {

In this work, we have proven the inhomogeneous obstacle can be uniquely determined by the measured acoustic pressure data and have proposed an extended multilevel sampling method. The extended recovery approach only applies the matrix-vector operations to estimate the inhomogeneous media from the received partial data. In practice, the method is capable of reconstructing the objects of different shapes and locations, robust against noise, computationally fairly cheap and easy to carry out. We can consider it as a simple and direct algorithm to supply satisfactory initial locations for the application of any existing more refined and precise but computationally more demanding techniques to achieve accurate reconstructions of physical features of scatterers.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2018-0127}, url = {http://global-sci.org/intro/article_detail/cicp/13143.html} }
TY - JOUR T1 - Direct Imaging of Inhomogeneous Obstacles in a Three-Layered Ocean Waveguide AU - Keji Liu JO - Communications in Computational Physics VL - 3 SP - 700 EP - 718 PY - 2019 DA - 2019/04 SN - 26 DO - http://doi.org/10.4208/cicp.OA-2018-0127 UR - https://global-sci.org/intro/article_detail/cicp/13143.html KW - Three-layered ocean waveguide, direct recovery, multilevel sampling method, penetrable scatterers. AB -

In this work, we have proven the inhomogeneous obstacle can be uniquely determined by the measured acoustic pressure data and have proposed an extended multilevel sampling method. The extended recovery approach only applies the matrix-vector operations to estimate the inhomogeneous media from the received partial data. In practice, the method is capable of reconstructing the objects of different shapes and locations, robust against noise, computationally fairly cheap and easy to carry out. We can consider it as a simple and direct algorithm to supply satisfactory initial locations for the application of any existing more refined and precise but computationally more demanding techniques to achieve accurate reconstructions of physical features of scatterers.

Keji Liu. (2019). Direct Imaging of Inhomogeneous Obstacles in a Three-Layered Ocean Waveguide. Communications in Computational Physics. 26 (3). 700-718. doi:10.4208/cicp.OA-2018-0127
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