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Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shape
A.A. Kovalev 1,2, V.V. Kotlyar 1,2, A.G. Nalimov 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

 PDF, 2537 kB

DOI: 10.18287/2412-6179-CO-1518

Pages: 173-179.

Full text of article: Russian language.

Abstract:
We investigate the topological charge of superposition of parallel identical vortex beams of arbitrary shape – either Laguerre-Gaussian beams or Bessel-Gaussian beams or some other vortex beams with a rotationally symmetric intensity distribution. It is known that if all beams in the superposition are in-phase then the topological charge of the whole superposition is equal to the topological charge of each constituent beam, n. We show that if the beams are arranged on a circle with their phases linearly increasing on this circle, so that the phase difference between the neighboring beams equals 2πp/N, where N is the number of beams and р is integer, then the superposition has the topological charge n+p.

Keywords:
topological charge, superposition of parallel beams, vortex beam.

Citation:
Kovalev AA, Kotlyar VV, Nalimov AG. Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shape. Computer Optics 2025; 49(2): 173-179. DOI: 10.18287/2412-6179-CO-1518.

Acknowledgements:
This work was financially supported by the Russian Science Foundation under project No. 22-12-00137 (Theoretical background) and within the government project of the NRC "Kurchatov Institute" (Numerical simulation).

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