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Computational method for acoustic wave focusing

Mathematical Physics 2007-05-23 v1 Analysis of PDEs math.MP

Abstract

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 qq 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.

Keywords

Cite

@article{arxiv.math-ph/0610029,
  title  = {Computational method for acoustic wave focusing},
  author = {A. G. Ramm and S. Gutman},
  journal= {arXiv preprint arXiv:math-ph/0610029},
  year   = {2007}
}

Comments

13 pages, 4 figures