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Orbital angular momentum of structurally stable laser beams
V.V. Kotlyar 1,2, A.A. Kovalev 1,2

1 IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS,
443001, Samara, Russia, Molodogvardeyskaya 151,
2 Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

 PDF, 966 kB

DOI: 10.18287/2412-6179-CO-1108

Pages: 517-521.

Full text of article: Russian language.

Abstract:
For structurally stable laser beams whose amplitude can be represented as a finite sum of the Hermite-Gaussian functions with undefined weight coefficients, we obtain an analytical expression for the normalized orbital angular momentum (OAM) that is also expressed through finite sums of weight coefficients. It is shown that a certain choice of weight coefficients allows obtaining the maximal OAM, which is equal to the maximal index of the Hermite polynomial in the sum. In this case, the sum describes a single-ringed Laguerre-Gaussian beam with a topological charge equal to the maximal OAM and to the maximal order of the Hermite polynomial.

Keywords:
optical vortex, orbital angular momentum, structurally stable beam, Hermite-Gaussian beam, Laguerre-Gaussian beam.

Citation:
Kotlyar VV, Kovalev AA. Orbital angular momentum of structurally stable laser beams. Computer Optics 2022; 46(4): 517-521. DOI: 10.18287/2412-6179-CO-1108.

Acknowledgements:
The work was partly funded by the Russian Science Foundation grant 18-19-00595 (Section "Orbital angular momentum") and the Ministry of Science and Higher Education of the Russian Federation within the government project of the FSRC “Crystallography and Photonics” RAS (Section "Numerical modeling").

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