Asymmetric hypergeometric laser beams
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...
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Samara National Research University
2019-10-01
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Online Access: | http://computeroptics.ru/KO/PDF/KO43-5/430504.pdf |
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doaj-c11e03eca648494494c7d644fc1fc76f2020-11-25T01:34:06ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792019-10-0143573574010.18287/2412-6179-2019-43-5-735-740Asymmetric hypergeometric laser beamsVictor Kotlyar 0Alexey Kovalev1Eugeny Abramochkin2IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia; Samara National Research University, Moskovskoye Shosse 34, 443086, Samara, RussiaIPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia; Samara National Research University, Moskovskoye Shosse 34, 443086, Samara, RussiaSamara Branch of P.N. Lebedev Physical Institute of Russian Academy of Sciences, Samara, RussiaHere 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.http://computeroptics.ru/KO/PDF/KO43-5/430504.pdfoptical vortexasymmetric laser beamkummer functionhypergeometric functionlogarithmical axiconorbital angular momentum |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Victor Kotlyar Alexey Kovalev Eugeny Abramochkin |
spellingShingle |
Victor Kotlyar Alexey Kovalev Eugeny Abramochkin Asymmetric hypergeometric laser beams Компьютерная оптика optical vortex asymmetric laser beam kummer function hypergeometric function logarithmical axicon orbital angular momentum |
author_facet |
Victor Kotlyar Alexey Kovalev Eugeny Abramochkin |
author_sort |
Victor Kotlyar |
title |
Asymmetric hypergeometric laser beams |
title_short |
Asymmetric hypergeometric laser beams |
title_full |
Asymmetric hypergeometric laser beams |
title_fullStr |
Asymmetric hypergeometric laser beams |
title_full_unstemmed |
Asymmetric hypergeometric laser beams |
title_sort |
asymmetric hypergeometric laser beams |
publisher |
Samara National Research University |
series |
Компьютерная оптика |
issn |
0134-2452 2412-6179 |
publishDate |
2019-10-01 |
description |
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. |
topic |
optical vortex asymmetric laser beam kummer function hypergeometric function logarithmical axicon orbital angular momentum |
url |
http://computeroptics.ru/KO/PDF/KO43-5/430504.pdf |
work_keys_str_mv |
AT victorkotlyar asymmetrichypergeometriclaserbeams AT alexeykovalev asymmetrichypergeometriclaserbeams AT eugenyabramochkin asymmetrichypergeometriclaserbeams |
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1725073710332772352 |