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arXiv math-ph/0610029math-phmath.APmath.MP
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声波聚焦的计算方法

Computational method for acoustic wave focusing

A. G. Ramm, S. Gutman

摘要:

当材料被注入声学上柔软的小颗粒时,材料的散射特性改变。结果表明,它的新的散射行为可以理解为一个潜在的散射问题的解决方案与潜在的$q$明确相关的小颗粒的密度。在本文中,我们研究的逆问题设计的材料所需的聚焦性能。这样一个问题的算法从理论上以及从数值的角度进行检查。

英文摘要:

Scattering properties of a material are changed when the material is injected with small acoustically soft particles. It is shown that its new scattering behavior can be understood as a solution of a potential scattering problem with the potential $q$ explicitly related to the density of the small particles. In this paper we examine the inverse problem of designing a material with the desired focusing properties. An algorithm for such a problem is examined from the theoretical as well as from the numerical perspective.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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