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Vortex laser beams with complex amplitude proportional to the product of two Bessel functions
V.V. Kotlyar 1,2, E.G. Abramochkin 3, A.A. Kovalev 1,2, E.S. Kozlova 1,2

1 Image Processing Systems Institute, NRC "Kurchatov Institute",
443001, Samara, Russia, Molodogvardeyskaya 151;
2 Samara National Research University,
443086, Samara, Russia, Moskovskoye Shosse 34;
3 Lebedev Physical Institute,
443011, Samara, Russia, Novo-Sadovaya 221

 PDF, 2333 kB

DOI: 10.18287/2412-6179-CO-1635

Pages: 723-732.

Full text of article: Russian language.

Abstract:
The optical vortices with the complex amplitude which is presented by the product of the Gaussian function and two Bessel functions with a complex root dependence of the arguments on the cylindrical coordinates and a constant parameter that determines the type of intensity distribution. These beams can be named Bessel-Bessel-Gaussian beams (BBG beams). An explicit expression for the complex amplitude of such beams at any distance from the waist is presented. We have demonstrated that BBG beams have an anomalously high rotation speed: the intensity rotates by almost 45 degrees at a distance much smaller than the Rayleigh length. It is shown that the parameter allow to control the topological charge of the BBG beam. The topological charge increases in jumps by an even number with an increase in the positive value of the parameter.

Keywords:
Bessel function, Gauss function, Bessel-Bessel-Gauss beams.

Citation:
Kotlyar VV, Abramochkin EG, Kovalev AA, Kozlova ES. Vortex laser beams with complex amplitude proportional to the product of two Bessel functions. Computer Optics 2025; 49(5): 723-732. DOI: 10.18287/2412-6179-CO-1635.

Acknowledgements:
This work was supported by the Ministry of Science and Higher Education within the State assignment NRC "Kurchatov Institute" in part of theory, Russian Science Foundation (Project No. 22-12-00236) in part of simulation.

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