Geodesic
Computation of paraxial wave fields using transparent boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 9, pp. 1675-1681
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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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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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