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 Computer Optics, 2017, Volume 41, Issue 5, Pages 609–616 (Mi co429)

OPTO-IT

Orbital angular momentum of an astigmatic Gaussian laser beam

V. V. Kotlyarab, A. A. Kovalevab

a Samara National Research University
b Image Processing Systems Institute îf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia

Abstract: We show that an elliptic Gaussian beam focused by a cylindrical lens can be represented as a linear combination of a countable number of only even angular harmonics with both positive and negative topological charge. For the orbital angular momentum of an astigmatic Gaussian beam, an exact expression is obtained in the form of a converging series of the Legendre functions of the second kind. It is shown that at some conditions only terms with the positive or negative topological charge are retained in this series.

Keywords: elliptic Gaussian beam, cylindrical lens, orbital angular momentum, topological charge.

 Funding Agency Grant Number Russian Science Foundation 17-19-01186 The work was funded by the Russian Science Foundation under project #17-19-01186.

DOI: https://doi.org/10.18287/2412-6179-2017-41-5-609-616

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Accepted:10.08.2017

Citation: V. V. Kotlyar, A. A. Kovalev, “Orbital angular momentum of an astigmatic Gaussian laser beam”, Computer Optics, 41:5 (2017), 609–616

Citation in format AMSBIB
\Bibitem{KotKov17} \by V.~V.~Kotlyar, A.~A.~Kovalev \paper Orbital angular momentum of an astigmatic Gaussian laser beam \jour Computer Optics \yr 2017 \vol 41 \issue 5 \pages 609--616 \mathnet{http://mi.mathnet.ru/co429} \crossref{https://doi.org/10.18287/2412-6179-2017-41-5-609-616}