Geodesic
Space-time ray method and quasiphotons of whispering gallery
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 52, Tome 516 (2022), pp. 5-19

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The article is devoted to the construction of the space-time ray method (STRM) in the whispering gallery case. The complex version of the STRM-expansion describing quasiphotons is also considered. 
@article{ZNSL_2022_516_a0,
     author = {V. M. Babich and M. V. Babich},
     title = {Space-time ray method and quasiphotons of whispering gallery},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--19},
     publisher = {mathdoc},
     volume = {516},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_516_a0/}
}
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V. M. Babich; M. V. Babich. Space-time ray method and quasiphotons of whispering gallery. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 52, Tome 516 (2022), pp. 5-19. http://geodesic.mathdoc.fr/item/ZNSL_2022_516_a0/