Gaussian laser beam transformation into an optical vortex beam by helical lens

In this article we investigate the Fresnel diffraction characteristics of the hybrid optical element which is a combination of a spiral phase plate (SPP) with topological charge p and a thin lens with focal length f, named the helical lens (HL). As incident a Gaussian laser beam is treated, having i...

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Bibliographic Details
Published in:arXiv.org 2015-03
Main Authors: Janicijevic, Ljiljana, Topuzoski, Suzana
Format: Article
Language:English
Subjects:
Electron beams
Far fields
Fresnel diffraction
Gaussian beams (optics)
Laser beams
Lenses
Light beams
Parameters
Phase plates
Vortex rings
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Summary:In this article we investigate the Fresnel diffraction characteristics of the hybrid optical element which is a combination of a spiral phase plate (SPP) with topological charge p and a thin lens with focal length f, named the helical lens (HL). As incident a Gaussian laser beam is treated, having its waist a distance from the HL plane and its axis passing through the centre of the HL. It is shown that the SPP introduces a phase singularity of p-th order to the incident beam, while the lens transforms the beam characteristic parameters. The output light beam is analyzed in detail: its characteristic parameters and focusing properties, amplitude and intensity distributions and the vortex rings profiles and radii, at any z distance behind the HL plane, as well as in the near and far field.
ISSN:2331-8422
DOI:10.48550/arxiv.1503.02483