Title :
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
fDate :
June 29 2006-July 1 2006
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; Hermite¿Laguerre¿Gaussian beams; beam shaping; convolution transformation; fractional Fourier transform;
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
DOI :
10.1109/LFNM.2006.252066
