Geodesic
Physical properties of scalar 2D beams of Kummer -- Gauss
Problemy fiziki, matematiki i tehniki, no. 4 (2011), pp. 19-23

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The unified formalism allowing to deduce common expressions for paraxial two-dimensional Gaussian-like light Kummer – Gaussian beams and discover correlations between them is developed. Сonditions of their physical realizability are explored in details. New types of Kummer – Gaussian beams are discovered. Such beams are presented as Gaussian product on Kummer function of complex argument and a $n$ integer index.
Keywords: paraxial beams, Hermite – Gaussian beams, Kummer – Gaussian beams, Gaussian-like beams, square integrability. 
@article{PFMT_2011_4_a3,
     author = {S. S. Girgel},
     title = {Physical properties of scalar {2D} beams of {Kummer} -- {Gauss}},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {19--23},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2011_4_a3/}
}
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S. S. Girgel. Physical properties of scalar 2D beams of Kummer -- Gauss. Problemy fiziki, matematiki i tehniki, no. 4 (2011), pp. 19-23. http://geodesic.mathdoc.fr/item/PFMT_2011_4_a3/