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Computation of paraxial wave fields using transparent boundary conditions
Authors:A. V. Popov
Affiliation:(1) Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moscow oblast, 142092, Russia
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.
Keywords:parabolic equation method  transparent boundary condition  Gaussian beam  diffraction theory
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