Geodesic
Propagation of waves along weakly nonhomogeneous in the horisontal direction and slowly bent anisotropic elastic layer
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 12-32

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The propagation of a waveguide mode along a slowly bent elastic anisotropic layer is considered. An analytic expression for the amplitude and Berry phase of this oscillation is obtained. 
@article{ZNSL_1997_239_a1,
     author = {V. M. Babich},
     title = {Propagation of waves along weakly nonhomogeneous in the horisontal direction and slowly bent anisotropic elastic layer},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {12--32},
     publisher = {mathdoc},
     volume = {239},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a1/}
}
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V. M. Babich. Propagation of waves along weakly nonhomogeneous in the horisontal direction and slowly bent anisotropic elastic layer. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 12-32. http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a1/