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This article is cited in 1 scientific paper (total in 1 paper)
OPTO-IT
Asymmetric hypergeometric laser beams
V. V. Kotlyarab, A. A. Kovalevba, E. G. Abramochkinc a IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS,
Molodogvardeyskaya 151, 443001, Samara, Russia
b Samara National Research University, Moskovskoye Shosse 34, 443086, Samara, Russia
c Samara Branch of P.N. Lebedev Physical Institute of Russian Academy of Sciences, Samara, Russia
Abstract:
Here we study asymmetric Kummer beams (aK-beams) with their scalar complex amplitude being proportional to the Kummer function (a degenerate hypergeometric function). These beams are an exact solution of the paraxial propagation equation (Schrödinger-type equation) and obtained from the conventional symmetric hypergeometric beams by a complex shift of the transverse coordinates. On propagation, the aK-beams change their intensity weakly and rotate around the optical axis. These beams are an example of vortex laser beams with a fractional orbital angular momentum (OAM), which depends on four parameters: the vortex topological charge, the shift magnitude, the logarithmic axicon parameter and the degree of the radial factor. Changing these parameters, it is possible to control the beam OAM, either continuously increasing or decreasing it.
Keywords:
optical vortex, asymmetric laser beam, Kummer function, hypergeometric function, logarithmical axicon, orbital angular momentum.
Received: 02.07.2019 Accepted: 10.09.2019
Citation:
V. V. Kotlyar, A. A. Kovalev, E. G. Abramochkin, “Asymmetric hypergeometric laser beams”, Computer Optics, 43:5 (2019), 735–740
Linking options:
https://www.mathnet.ru/eng/co697 https://www.mathnet.ru/eng/co/v43/i5/p735
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