Geodesic
Circular $3D$ Kummer--Gauss beams with the continuous angular index
Problemy fiziki, matematiki i tehniki, no. 1 (2019), pp. 16-20

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Analytical expressions in the closed shape for circular $3D$ Kummer–Gauss beams $(cK-G)$ with the continuous angular coefficient $m$ are offered and analyzed. Physical restrictions on possible values of the free parameters of such beams are formulated. Pictorial modeling of beams $(cK-G)$ is fulfilled and shown that the continuous values of an angular coefficient $m$ and complex values of the free parameter $\nu$ are physically possible.
Keywords: paraxial beams, circular beams, Kummer–Gaussian beams. 
@article{PFMT_2019_1_a2,
     author = {S. S. Girgel},
     title = {Circular $3D$ {Kummer--Gauss} beams with the continuous angular index},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {16--20},
     publisher = {mathdoc},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2019_1_a2/}
}
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S. S. Girgel. Circular $3D$ Kummer--Gauss beams with the continuous angular index. Problemy fiziki, matematiki i tehniki, no. 1 (2019), pp. 16-20. http://geodesic.mathdoc.fr/item/PFMT_2019_1_a2/