Geodesic
Beams of Kummer without the Gaussian apodization with transferable terminating power
Problemy fiziki, matematiki i tehniki, no. 3 (2015), pp. 7-9

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The new solutions of the parabolic equation featuring paraxial light beams are offered. Such beams are featured by Kummer functions of complex argument with two free parameters without a Gaussian. Restrictions on these parameters, at which beams of Kummer transfer terminating power and are physically realized, are discovered.
Keywords: paraxial beams, beams of Kummer, square integrability. 
@article{PFMT_2015_3_a0,
     author = {S. S. Girgel},
     title = {Beams of {Kummer} without the {Gaussian} apodization with transferable terminating power},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {7--9},
     publisher = {mathdoc},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_3_a0/}
}
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S. S. Girgel. Beams of Kummer without the Gaussian apodization with transferable terminating power. Problemy fiziki, matematiki i tehniki, no. 3 (2015), pp. 7-9. http://geodesic.mathdoc.fr/item/PFMT_2015_3_a0/