Geodesic
Space-time ray method of the calculation of waves in slightly inhomogeneous layered medium
Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part I, Tome 99 (1980), pp. 5-18

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Space-time ray method of the construction of Love and Reileigh surface waves for the elastic layered half-space is obtained. The characteristics of half-space vary slowly in horizontal direction. The free boundary and interfaces are slightly curved. The surface wave is treated as a packet of harmonic waves, having the amplitude and frequency modulations. 
@article{ZNSL_1980_99_a1,
     author = {V. M. Babich and N. S. Grigor'ev},
     title = {Space-time ray method of the calculation of waves in slightly inhomogeneous layered medium},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--18},
     publisher = {mathdoc},
     volume = {99},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a1/}
}
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V. M. Babich; N. S. Grigor'ev. Space-time ray method of the calculation of waves in slightly inhomogeneous layered medium. Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part I, Tome 99 (1980), pp. 5-18. http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a1/