Geodesic
Scalar paraxial two-dimensional Gaussian-like light beams
Problemy fiziki, matematiki i tehniki, no. 1 (2010), pp. 7-11

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The unified formalism which allows to deduce expressions for paraxial two-dimensional Gaussian-like light Kummer-Gaussian beams and Helmholtz-Gaussian beams is offered. This formalism also allows to discover correlations between them. Simple conditions of their physical realizability are formulated. New types of Kummer-Gaussian beams are discovered. Such beams are presented by the Gaussian product on the function Kummer of the complex argument and nonnegative integer index $n$.
Keywords: paraxial beams, Hermite-Gaussian beams, Kummer-Gaussian beams, Helmholtz-Gaussian beams, Gaussian-like beams. 
@article{PFMT_2010_1_a0,
     author = {S. S. Girgel},
     title = {Scalar paraxial two-dimensional {Gaussian-like} light beams},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {7--11},
     publisher = {mathdoc},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2010_1_a0/}
}
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S. S. Girgel. Scalar paraxial two-dimensional Gaussian-like light beams. Problemy fiziki, matematiki i tehniki, no. 1 (2010), pp. 7-11. http://geodesic.mathdoc.fr/item/PFMT_2010_1_a0/