2009/06/15 by A. Ya. Bekshaev, Bekshaev, A. Ya., A. I. Karamoch +9 · 1 citation
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Laser-Matter Interactions and Applications #Optics (physics.optics) #Orbital Angular Momentum in Optics #physics.optics
paper · pdf · doi:10.48550/arxiv.0906.2619
12 pages with 6 figures. Submitted to Journal of Holography and Speckle in June 2007, accepted but is still awaiting publication because of technical problems at the Publishers
arxiv created 2009/06/15 · openalex publication_date 2009/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Holographic gratings with topological defects (branching of one or more fringes) are widely used for generating light beams with optical vortices (OV). This work presents an analysis of OV beams produced by binary computer-generated holograms enlightened by Gaussian beams centered at the fringe bifurcation point. Usually such beams are considered as analogs of the standard solutions of paraxial wave equation - Laguerre-Gaussian (LG) modes representing classical examples of OVs. However, the intensity profile and the whole process of their spatial evolution show important differences from the LG prototypes. In the case of integer topological charge, a created OV beam can be described by the special Kummer function, which allows referring to these beams as to "Kummer beams". Properties of Kummer beams are studied numerically and analytically. Main distinctions from the corresponding LG modes are much slower intensity decay at the beam periphery and much higher beam divergence; differences between the Kummer and LG beams grow with the OV topological charge.