Geodesic
Computation of paraxial wave fields using transparent boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 9, pp. 1675-1681 
A. V. Popov. Computation of paraxial wave fields using transparent boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 9, pp. 1675-1681. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_9_a9/
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     author = {A. V. Popov},
     title = {Computation of paraxial wave fields using transparent boundary conditions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1675--1681},
     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_9_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The parabolic wave equation is solved numerically by applying transparent conditions used to confine the computational domain. A numerical implementation of the boundary conditions is proposed based on representing the incident wave as a superposition of Gaussian beams. A modification of the transparent conditions in the case of dielectric objects extending beyond the computational domain is described. Numerical examples are presented.

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