Some Properties on the Far-Field Pattern of Scattering by a Penetrable Obstacle in an Ocean Waveguide

PAN Wen-feng; YOU Yun-xiang; MIAO Guo-ping; LI Zhuo-qiu

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(2): 217-227

PAN Wen-feng, YOU Yun-xiang, MIAO Guo-ping, LI Zhuo-qiu. Some Properties on the Far-Field Pattern of Scattering by a Penetrable Obstacle in an Ocean Waveguide[J]. Applied Mathematics and Mechanics, 2008, 29(2): 217-227.

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Some Properties on the Far-Field Pattern of Scattering by a Penetrable Obstacle in an Ocean Waveguide

1.
School of Science, Wuhan University of Technology, Wuhan 430070, P. R. China;

Received Date: 2007-08-14
Rev Recd Date: 2008-01-03
Publish Date: 2008-02-15

Abstract

Abstract

The properties of propagation far-field patterns corresponding to the scattering of time harmonic acoustic waves by a bounded penetrable obstacle in an ocean waveguide were concerned with.The sets of solutions to the transmission problem were constructed such that the restriction of these solutions to the boundary of the penetrable obstacle is dense in a Hilbert space.Then conditions under which a set of propagation far-field patterns is complete in a Hilbert space were determined.These properties are important in investigating inverse transmission problems in an ocean waveguide.
- oceanic waveguide,
- penetrable object,
- far-field pattern,
- completeness,
- denseness

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References(21)

References

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