Geodesic
The behaviour of the Gaussian beam in the anisotropic medium with an interface
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 77-109

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We consider a region which consists of two parts with anisotropic Riemannian metrics. The metric has a jump on the interface. The reflected and transmitted from the interface asymptotic solutions to the wave equation – Gaussian beams (quasiphotons) are constructed. 
@article{ZNSL_2005_324_a4,
     author = {A. S. Kirpichnikova},
     title = {The behaviour of the {Gaussian} beam in the anisotropic medium with an interface},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {77--109},
     publisher = {mathdoc},
     volume = {324},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a4/}
}
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A. S. Kirpichnikova. The behaviour of the Gaussian beam in the anisotropic medium with an interface. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 77-109. http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a4/