Fourier Invariant Singular Wavefields and Beam Shaping Problem

Author

Abramochkin, E.G. ; Razueva, E.V. ; Volostnikov, V.G.

Author_Institution

P.N. Lebedev Phys. Inst., Russian Acad. of Sci., Samara

fYear

2006

fDate

June 29 2006-July 1 2006

Firstpage

370

Lastpage

373

Abstract

Hermite-Laguerre-Gaussian beams are paraxial structurally stable solutions of the parabolic equation. Some relations of these beams with fractional Fourier transform and the convolution transformation are investigated. The found formulae help to construct phase elements for the focusing of laser irradiance into the fields, whose intensity is shaped like a predetermined flat domain. Results of numerical simulation for some domains (a regular triangle, a square) are presented

Keywords

Fourier transforms; convolution; laser beams; optical focusing; Fourier invariant wavefields; Hermite-Laguerre-Gaussian beams; beam shaping problem; convolution transformation; fractional Fourier transform; laser irradiance focusing; parabolic equation; phase elements; singular wavefields; Convolution; Equations; Fourier transforms; Laboratories; Laser beams; Laser theory; Mercury (metals); Numerical simulation; Optical propagation; Polynomials; HermiteÂ¿LaguerreÂ¿Gaussian beams; beam shaping; convolution transformation; fractional Fourier transform;

fLanguage

English

Publisher

ieee

Conference_Titel

Laser and Fiber-Optical Networks Modeling, 8-th International Conference on

Conference_Location

Kharkiv

Print_ISBN

1-4244-0233-6

Electronic_ISBN

1-4244-0234-4

Type

conf

DOI

10.1109/LFNM.2006.252066

Filename

4018285