This article is cited in 3 papers

Computation of paraxial wave fields using transparent boundary conditions

A. V. Popov

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.

Key words: parabolic equation method, transparent boundary condition, Gaussian beam, diffraction theory.

UDC: 519.634

Received: 05.12.2005
Revised: 10.03.2006

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:9, 1595–1600

Bibliographic databases:

• 
•