Geodesic
The procedure of evaluation of high terms in the asymptotic space-time Gaussian beam method for isotropic inhomogeneous elastic medium.~II
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 88-100

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The recursive procedure for determination of high order terms of Gaussian beams (for $P$ and $S$ elastic waves) is suggested. 
@article{ZNSL_1989_179_a10,
     author = {N. Ya. Kirpichnikova},
     title = {The procedure of evaluation of high terms in the asymptotic space-time {Gaussian} beam method for isotropic inhomogeneous elastic {medium.~II}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {88--100},
     publisher = {mathdoc},
     volume = {179},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a10/}
}
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N. Ya. Kirpichnikova. The procedure of evaluation of high terms in the asymptotic space-time Gaussian beam method for isotropic inhomogeneous elastic medium.~II. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 88-100. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a10/