Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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/

[1] V. S. Buldyrev, “Interferentsiya korotkikh voln v zadache difraktsii na neodnorodnom tsilindre proizvolnogo secheniya”, IVUZ, 10:5 (1967), 699–711

[2] V. M. Babich, A. A. Matskovskii, “Golovnaya volna interferentsionnogo tipa (volna Buldyreva) i soobrazheniya lokalnosti”, Zap. nauchn. semin. POMI, 438, 2015, 36–45 | MR

[3] V. M. Babich, V. S. Buldyrev, Asimptoticheskie metody v zadachakh difraktsii korotkikh voln, Nauka, M., 1972 | MR