A Tool for Modeling Optical Beam Propagation

Article type: Research Article

Authors: Čiegis, Raimondas | Šilko, Galina | Dement'ev, Aleksandr

Affiliations: Department of Mathematical Modelling, Vilnius Gediminas Technical University, Saulėtekio al. 11, 2040 Vilnius, Lithuania. E-mail: [email protected], [email protected] | Institute of Physics, Goštauto 12, 2600 Vilnius, Lithuania. E-mail: [email protected]

Abstract: A tool for modeling the propagation of optical beams is proposed and investigated. Truncated Laguerre–Gauss polynomial series are used for approximation of the field at any point in free space. Aposteriori error estimates in various norms are calculated using errors for input functions. The accumulation of truncation errors during space transition is investigated theoretically. The convergence rate of truncated LG series is obtained numerically for super-Gaussian beams. An optimization of algorithm realization costs is done by choosing parameters in such a way that the error reaches minimum value. Results of numerical experiments are presented.

Keywords: spectral methods, optical beams, Laguerre–Gauss polynomials, software tools

DOI: 10.3233/INF-2002-13202

Journal: Informatica, vol. 13, no. 2, pp. 149-162, 2002