Geodesic
How should we improve the ray-tracing method?
Algebra i analiz, Tome 22 (2010) no. 6, pp. 43-49.

Voir la notice de l'article provenant de la source Math-Net.Ru

The possibility is discussed to improve the ray approximation up to an exact representation of a wave field by the Feynman–Kac probabilistic formula (this formula gives an exact solution of the Helmholtz equation in the form of the expectation of a certain functional on the space of Brownian random walks). Some examples illustrate an application of the solutions obtained to diffraction problems.
Keywords: diffraction, ray tracing method, stochastic equation, Feynman–Kac formula. 
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     author = {B. V. Budaev},
     title = {How should we improve the ray-tracing method?},
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     url = {http://geodesic.mathdoc.fr/item/AA_2010_22_6_a1/}
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B. V. Budaev. How should we improve the ray-tracing method?. Algebra i analiz, Tome 22 (2010) no. 6, pp. 43-49. http://geodesic.mathdoc.fr/item/AA_2010_22_6_a1/

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