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 
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/
@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},
     year = {2022},
     volume = {516},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_516_a0/}
}
TY  - JOUR
AU  - V. M. Babich
AU  - M. V. Babich
TI  - Space-time ray method and quasiphotons of whispering gallery
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2022
SP  - 5
EP  - 19
VL  - 516
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2022_516_a0/
LA  - ru
ID  - ZNSL_2022_516_a0
ER  - 
%0 Journal Article
%A V. M. Babich
%A M. V. Babich
%T Space-time ray method and quasiphotons of whispering gallery
%J Zapiski Nauchnykh Seminarov POMI
%D 2022
%P 5-19
%V 516
%U http://geodesic.mathdoc.fr/item/ZNSL_2022_516_a0/
%G ru
%F ZNSL_2022_516_a0

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[1] V. M. Babich, “Prostranstvenno-vremennoi luchevoi metod (PVLM) dlya voln shepchuschei galerei”, Zap. nauchn. semin. POMI, 506, 2021, 15–20

[2] V. M. Babich, B. C. Buldyrev, Asimptoticheskie metody v zadachakh difraktsii korotkikh voln (metod etalonnykh zadach), Nauka, M., 1972, 456 pp. | MR

[3] V. M. Babich, N. Ya. Kirpichnikova, Metod pogranichnogo sloya v zadachakh difraktsii, Izd. LGU, L., 1974, 124 pp. | MR

[4] V. M. Babich, B. C. Buldyrev, I. A. Molotkov, Prostranstvenno-vremennoi luchevoi metod (Lineinye i nelineinye volny), Izd. LGU, L., 1984, 329 pp. | MR

[5] M. M. Popov, “Novaya kontseptsiya poverkhnostnykh voln interferentsionnogo tipa dlya strogo vypuklykh poverkhnostei, vlozhennykh v $R^3$”, Zap. nauchn. semin. POMI, 493, 2020, 301–313

[6] A. P. Kiselev, “Localized light waves: paraxial and exact solutions of the wave equation (a review)”, Opt. Spectrosc., 102:4 (2007), 603–622 | DOI

[7] V. M. Babich, V. F. Lazutkin, “O sobstvennykh funktsiyakh, sosredotochennykh vblizi zamknutoi geodezicheskoi”, Probl. matem. fiziki, 2, Izd. LGU, L., 1967, 15–25