How should we improve the ray-tracing method?
Algebra i analiz, Tome 22 (2010) no. 6, pp. 43-49
Cet article a éte moissonné depuis 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.
Mots-clés :
diffraction, Feynman–Kac formula.
Keywords: ray tracing method, stochastic equation
Keywords: ray tracing method, stochastic equation
@article{AA_2010_22_6_a1,
author = {B. V. Budaev},
title = {How should we improve the ray-tracing method?},
journal = {Algebra i analiz},
pages = {43--49},
year = {2010},
volume = {22},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AA_2010_22_6_a1/}
}
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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