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Proceedings Paper

Numerical scheme with external complex scaling for 2D Schroedinger equation in paraxial optics
Author(s): Vladislav V. Serov; Aleksey I. Bychenkov; Vladimir L. Derbov; Sergey I. Vinitsky
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Paper Abstract

We propose a stable numerical scheme for solving Schrodinger equations that arise in the scalar paraxial theory of optical waveguides as well as in the quantum mechanics of a particle in a potential field. The scheme makes use of a multi-coordinate version of the split-step approach combined with the complex scaling that assures the implementation of boundary conditions. Beam propagation in a Gaussian waveguide is considered to illustrate the ability of the scheme to account for both waveguide and radiation modes.

Paper Details

Date Published: 20 March 2000
PDF: 5 pages
Proc. SPIE 4002, Saratov Fall Meeting '99: Laser Physics and Spectroscopy, (20 March 2000); doi: 10.1117/12.380099
Show Author Affiliations
Vladislav V. Serov, Saratov State Univ. (Russia)
Aleksey I. Bychenkov, Saratov State Univ. (Russia)
Vladimir L. Derbov, Saratov State Univ. (Russia)
Sergey I. Vinitsky, Joint Institute for Nuclear Research (Russia)


Published in SPIE Proceedings Vol. 4002:
Saratov Fall Meeting '99: Laser Physics and Spectroscopy
Vladimir L. Derbov; Leonid A. Melnikov; Vladimir P. Ryabukho, Editor(s)

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