Geodesic
Gaussian beams for the Maxwell equations on a mainfold
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 58-87 
A. P. Katchalov. Gaussian beams for the Maxwell equations on a mainfold. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 58-87. http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a5/
@article{ZNSL_2002_285_a5,
     author = {A. P. Katchalov},
     title = {Gaussian beams for the {Maxwell} equations on a mainfold},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {58--87},
     year = {2002},
     volume = {285},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a5/}
}
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Space-time Gaussian beams of the quasyphoton type for the Maxwell equations on a manifold were constructed in the case of multiple characteristics.