Geodesic
Physical pattern of wave emission in a wedge-shaped region: Generalization of the transverse diffusion method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1576-1590 
S. A. Zapunidi; A. V. Popov. Physical pattern of wave emission in a wedge-shaped region: Generalization of the transverse diffusion method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1576-1590. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a11/
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     title = {Physical pattern of wave emission in a~wedge-shaped region: {Generalization} of the transverse diffusion method},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An analysis of the rigorous solution to the problem of waves emitted by sources arbitrarily distributed along a wedge face is used to propose a generalization of the Malyuzhinets heuristic transverse diffusion method. Mathematically, the problem is reduced to the numerical solution of a parabolic equation in ray coordinates with prescribed discontinuities on the boundaries of the shadow zone of partial plane waves or with a distributed right-hand side. The physical concept of the phase synchronism of emitted and diffracted waves is stated.

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