Application of random walk methods to wave propagation

@article{Budaev2000ApplicationOR,
  title={Application of random walk methods to wave propagation},
  author={Bair V. Budaev and David B. Bogy},
  journal={Journal of the Acoustical Society of America},
  year={2000},
  volume={108},
  pages={2593-2593}
}
  • B. Budaev, D. Bogy
  • Published 14 November 2000
  • Mathematics
  • Journal of the Acoustical Society of America
We present an approach to problems of diffraction that has its roots in a number of well‐established theories such as the geometric theory of diffraction, the methods of Feynman’s path integrals and Wiener’s functional integrals, and the theory of stochastic processes. We start our analysis of the Helmholtz equation by closely following the scheme of the ray method, but instead of approximating the resulting second‐order auxiliary equation by a first‐order transport equation, we study the… 
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