Geodesic
Application of Gaussian beam method to the computations of theoretical seisinograms
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 73-97

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A new method of computation of theoretical seismograms based on space-time Gaussian beams is proposed and tasted on model problems. This method enables one to overcome caustic difficulties and to avoid numerical computations of Fourier-transform with respect to frequency. Numerical experiments prove that the method can be successfully applied to the computations of seismograms. 
@article{ZNSL_1986_156_a7,
     author = {A. P. Kachalov and M. M. Popov},
     title = {Application of {Gaussian} beam method to the computations of theoretical seisinograms},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {73--97},
     publisher = {mathdoc},
     volume = {156},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a7/}
}
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A. P. Kachalov; M. M. Popov. Application of Gaussian beam method to the computations of theoretical seisinograms. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 73-97. http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a7/