Geodesic
Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray methods~(STRM)
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 51, Tome 506 (2021), pp. 9-14

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Quasiphotons-asymptotic solutions of wave equation with gaussian concentration around moving along rays points – are considered. It is stated in this note, that well-known procedures of obtaining the formulas for quasiphotons lead to complete class of quasiphotons, described by complex space-time ray method (STRM), in spite of very restrictive normalizing condition. It is possible, in the case of the constant velocity, to deduce formulas in explicit form for $3\times3$-matrices, describing quasiphotons. (This matrices in particular can have all nonzero components). 
@article{ZNSL_2021_506_a1,
     author = {V. M. Babich},
     title = {Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray {methods~(STRM)}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {9--14},
     publisher = {mathdoc},
     volume = {506},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a1/}
}
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V. M. Babich. Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray methods~(STRM). Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 51, Tome 506 (2021), pp. 9-14. http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a1/