An analysis of the angular momentum of a light field in terms of angular harmonics |
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| Authors: | S. N. Khonina V. V. Kotlyar V. A. Soifer P. Pääkkönen J. Simonen J. Turunen |
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| Affiliation: | 1. Image Processing System Institute RAS , 151, Molodogvardejskaya st., 443001 , Samara , Russia;2. Department of Physics , University of Joensuu , PO Box 111, FIN-80101 , Joensuu , Finland |
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| Abstract: | Abstract This paper proposes an optical interpretation for the Lie algebra's symmetry operators of the paraxial wave equation. In particular, the angular momentum operator is used to derive a relation for the expression of the angular momentum of an arbitrary light field in terms of angular harmonics. Furthermore, experimental results are presented demonstrating a filter that extracts angular harmonics from different Gauss-Laguerre modes. |
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