On diffraction of a~plane wave by an impedance cone
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 32, Tome 297 (2003), pp. 191-215

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Some questions on substantiation of the solution in the diffraction problem by an impedance cone are discussed. The surface waves as well as the Weyl–van-der-Pol phenomenon are studied in the zone illuminated by the reflected rays.
@article{ZNSL_2003_297_a11,
     author = {M. A. Lyalinov},
     title = {On diffraction of a~plane wave by an impedance cone},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {191--215},
     publisher = {mathdoc},
     volume = {297},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a11/}
}
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M. A. Lyalinov. On diffraction of a~plane wave by an impedance cone. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 32, Tome 297 (2003), pp. 191-215. http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a11/