Abstract
The classic problem of linear wave-packet propagation in a dispersive medium is considered. Asymptotic equations of the Cauchy problem for two-dimensional Gaussian wave packets are constructed in terms of Fourier integrals. These asymptotic solutions are regular at the caustics and describe new physical features of wave-packet propagation: rotation in space and formation of a wave front with anomalously slow dispersion (quasi-dispersive).
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Original Russian Text © V.G. Gnevyshev, S.I. Badulin, 2017, published in Vestnik Moskovskogo Universiteta, Seriya 3: Fizika, Astronomiya, 2017, No. 4, pp. 73–80.
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Gnevyshev, V.G., Badulin, S.I. On the asymptotics of multidimensional linear wave packets: Reference solutions. Moscow Univ. Phys. 72, 415–423 (2017). https://doi.org/10.3103/S0027134917040075
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DOI: https://doi.org/10.3103/S0027134917040075