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Computation of paraxial wave fields using transparent boundary conditions

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Abstract

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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Original Russian Text © A.V. Popov, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 9, pp. 1675–1681.

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Popov, A.V. Computation of paraxial wave fields using transparent boundary conditions. Comput. Math. and Math. Phys. 46, 1595–1600 (2006). https://doi.org/10.1134/S0965542506090107

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  • DOI: https://doi.org/10.1134/S0965542506090107

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