Geodesic
Solutions of the wave equation in parabolic rotary coordinates. II. 3D Tricomi--Kummer light beams and other beams with the continuous angular index
Problemy fiziki, matematiki i tehniki, no. 4 (2020), pp. 20-24

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Analytical expressions in the closed form for nonparaxial and paraxial 3D Tricomi–Kummer (Т–К) beams and other beams with continuous angular index m in parabolic rotary coordinates are offered and analyzed. Physical restrictions on possible values of free parameters of such beams are formulated. It is shown, that paraxial beams without Gaussian can transfer finite power.
Keywords: nonparaxial beams, paraxial beams, parabolic beams, Tricomi–Kummer beams. 
@article{PFMT_2020_4_a2,
     author = {S. S. Girgel},
     title = {Solutions of the wave equation in parabolic rotary coordinates. {II.} {3D} {Tricomi--Kummer} light beams and other beams with the continuous angular index},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {20--24},
     publisher = {mathdoc},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2020_4_a2/}
}
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S. S. Girgel. Solutions of the wave equation in parabolic rotary coordinates. II. 3D Tricomi--Kummer light beams and other beams with the continuous angular index. Problemy fiziki, matematiki i tehniki, no. 4 (2020), pp. 20-24. http://geodesic.mathdoc.fr/item/PFMT_2020_4_a2/