The localization principle and high-frequency asymptotics of an interference head wave
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 47, Tome 461 (2017), pp. 7-13

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The euristic formulae obtained by V. S. Buldyrev for interference head wave (see [1]) contain no contradiction with the localization principle.
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V. M. Babich. The localization principle and high-frequency asymptotics of an interference head wave. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 47, Tome 461 (2017), pp. 7-13. http://geodesic.mathdoc.fr/item/ZNSL_2017_461_a0/