Geodesic
Solutions of the wave equation in parabolic rotary coordinates. I. 3D Kummer--Kummer light beams with the continuous angular index
Problemy fiziki, matematiki i tehniki, no. 3 (2020), pp. 13-17

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Analytical expressions in the closed form for nonparaxial and paraxial 3D Kummer–Kummer (K-K) beams with continuous angular index $m$ in parabolic rotary coordinates are offered and analyzed. Physical restrictions on possible values of the free parameters of such beams are formulated.
Keywords: nonparaxial beams, paraxial beams, parabolic beams, Kummer–Kummer beams. 
@article{PFMT_2020_3_a1,
     author = {S. S. Girgel},
     title = {Solutions of the wave equation in parabolic rotary coordinates. {I.} {3D} {Kummer--Kummer} light beams with the continuous angular index},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {13--17},
     publisher = {mathdoc},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2020_3_a1/}
}
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S. S. Girgel. Solutions of the wave equation in parabolic rotary coordinates. I. 3D Kummer--Kummer light beams with the continuous angular index. Problemy fiziki, matematiki i tehniki, no. 3 (2020), pp. 13-17. http://geodesic.mathdoc.fr/item/PFMT_2020_3_a1/