Orbital angular momentum of an astigmatic Gaussian laser beam
Kotlyar V.V., Kovalev A.A.

 

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

Full text of article: Russian language.

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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.

Citation:
Kotlyar VV, Kovalev AA. Orbital angular momentum of an astigmatic Gaussian laser beam. Computer Optics 2017; 41(5): 609-616. DOI: 10.18287/2412-6179-2017-41-5-609-616.

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