Generation of optical vortices by fractional derivative.

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Bibliographic Details
Title: Generation of optical vortices by fractional derivative.
Authors: Preda, L.1 lily@physics.pub.ro
Source: Optics & Lasers in Engineering. Mar2014, Vol. 54, p42-48. 7p.
Subjects: Optical vortices, Fractional calculus, Gaussian distribution, Parameter estimation, Systems design, Optical pattern recognition
Abstract: Abstract: This paper presents a new method of vortex generation using two-dimensional fractional derivative. The characteristics of vortices obtained using this method from Gaussian and Hermite–Gauss distributions are presented. Changing the parameters of fractional derivative such as the fractional order, r, and the direction, θ, the positions of the vortex centers can be changed. The method can be used to design a filter for vortex generation. The analysis of an experimental vortex pattern using fractional derivative is also demonstrated. [Copyright &y& Elsevier]
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Database: Engineering Source
Description
Abstract:Abstract: This paper presents a new method of vortex generation using two-dimensional fractional derivative. The characteristics of vortices obtained using this method from Gaussian and Hermite–Gauss distributions are presented. Changing the parameters of fractional derivative such as the fractional order, r, and the direction, θ, the positions of the vortex centers can be changed. The method can be used to design a filter for vortex generation. The analysis of an experimental vortex pattern using fractional derivative is also demonstrated. [Copyright &y& Elsevier]
ISSN:01438166
DOI:10.1016/j.optlaseng.2013.09.013