海洋波导的可穿透障碍物散射场远场分布的若干性质

潘文峰; 尤云祥; 缪国平; 李卓球

海洋波导的可穿透障碍物散射场远场分布的若干性质

1.
武汉理工大学理学院,武汉 430070;2.上海交通大学船舶海洋与建筑工程学院,上海 200030

基金项目: 国家自然科学基金资助项目(10672128)

详细信息

作者简介:
潘文峰(1964- ),男,湖北人,副教授,博士(联系人.E-mail:panskys@gmail.com).

中图分类号: O175
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- 被引次数: 0
出版历程
- 收稿日期: 2007-08-14
- 修回日期: 2008-01-03
- 刊出日期: 2008-02-15

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;

摘要

摘要: 研究了海洋波导中可穿透目标时谐声波散射传播远场分布的性质，构造了透射问题解的集合，使得所构造解的集合在边界上的限制在某个Hilbert空间中是稠密的，确定了传播远场分布的集合在某个Hilbert空间中是完备的．这些性质对研究海洋波导中的逆透射问题有重要的应用．
- 海洋波导 /
- 可穿透目标 /
- 传播远场分布 /
- 完备性 /
- 稠密性
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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参考文献(21)

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