Geodesic
Nonstationary interference wave fields of the $SV$-type in a~free elastic layer and a~problem of the ultrasonic modeling of plane seismic fields on plate-like models
Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part 2, Tome 225 (1996), pp. 121-239

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The problem of a quantitative study of wave fields in a free elastic layer excited by point nonstationary sources is discussed. The principal attention is paid to a low-frequency part of the Fourier spectrum. Roots of the dispersion equation of the layer chosen in the Lambe method representation are studied very thoroughly. On this basis efficient methods for a quontitative estimation of the wave interference modes are elaborated. It allows us essentially to advance a mathematical justification of the methods of the seismic modeling of the plane wave fields on the plate-like models. Bibl. 8 titles, ill. 24. 
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     author = {G. I. Petrashen and V. S. Pivovarov},
     title = {Nonstationary interference wave fields of the $SV$-type in a~free elastic layer and a~problem of the ultrasonic modeling of plane seismic fields on plate-like models},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {121--239},
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     volume = {225},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_225_a4/}
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G. I. Petrashen; V. S. Pivovarov. Nonstationary interference wave fields of the $SV$-type in a~free elastic layer and a~problem of the ultrasonic modeling of plane seismic fields on plate-like models. Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part 2, Tome 225 (1996), pp. 121-239. http://geodesic.mathdoc.fr/item/ZNSL_1996_225_a4/