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Computer Optics, 2016, Volume 40, Issue 6, Pages 781–792 (Mi co328)  

OPTO-IT

Determination of an optical vortex topological charge using an astigmatic transform

V. V. Kotlyarab, A. A. Kovalevab, A. P. Porfirevab

a Samara National Research University, Samara, Russia
b Image Processing Systems Institute - Branch of the FSRC "Crystallography and Photonics" of RAS, Samara, Russia

Abstract: It is shown both theoretically and experimentally that if a cylindrical lens is placed into a laser beam, having an optical vortex with integer topological charge $n$ and on-axis intensity null, then at the double focal distance behind the lens, the $n$-fold degenerate intensity null is split into n isolated intensity nulls. These intensity nulls lie on a straight line in the transverse plane at an angle of + 45 or 45 degrees to the axis of the cylindrical lens, depending on the vortex helicity direction (i.e. sign of the topological charge). Experiments show that such a method can be used to determine higher-order topological charges up to $n = 100$.

Keywords: optical vortex, topological charge, cylindrical lens, astigmatic transform.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation
-9498.2016.9
Russian Foundation for Basic Research 14-29-07133-_
15-07-01174-
15-37-20723-__
15-47-02492-__
16-29-11698-_
16-47-630483-a
The work was partially funded by the Russian Federation Ministry of Education and Science, Presidential grant for support of leading scientific schools (NSh-9498.2016.9) and Russian Foundation of Basic Research Grants (14-29-07133, 15-07-01174, 15-37-20723, 15-47-02492, 16-29-11698, 16-47-630483).


DOI: https://doi.org/10.18287/2412-6179-2016-40-6-781-792

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Full text: http://www.computeroptics.smr.ru/.../400603.html
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Received: 07.10.2016
Accepted:07.12.2016

Citation: V. V. Kotlyar, A. A. Kovalev, A. P. Porfirev, “Determination of an optical vortex topological charge using an astigmatic transform”, Computer Optics, 40:6 (2016), 781–792

Citation in format AMSBIB
\Bibitem{KotKovPor16}
\by V.~V.~Kotlyar, A.~A.~Kovalev, A.~P.~Porfirev
\paper Determination of an optical vortex topological charge using an astigmatic transform
\jour Computer Optics
\yr 2016
\vol 40
\issue 6
\pages 781--792
\mathnet{http://mi.mathnet.ru/co328}
\crossref{https://doi.org/10.18287/2412-6179-2016-40-6-781-792}


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