Geodesic
On the scattering of the plane wave by transparent wedge
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 5-18 
V. M. Babich; N. V. Mokeeva. On the scattering of the plane wave by transparent wedge. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 5-18. http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a0/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

It is proved in the paper, that the problem of scattering of the plane wave by transparent wedge, if the radiation conditions it should be mean in the form: it necessary to subtract from the solution the incident wave, all reflected and refracted waves. The remainder is to satisfy the radiation condition in integral form. The problem is scalar, the velocity of wave inside and outside of the wedge are not equal, the wave process is described by the classical Helmholtz equations, conjugation boundary condition take place on the sides of the wedge. Bibl. – 8 titles, fig. – 2.

[1] J.-P. Croisille, G. Lebeau, Diffraction by an immersed elastic wedge, Lect. Notes Math., 1723, Springer, 1999 | MR | Zbl

[2] N. V. Mokeeva, “Issledovanie voprosa o korrektnosti zadach difraktsii v sluchae uglovykh oblastei”, Zap. nauchn. semin. POMI, 324, 2005, 131–147 | MR | Zbl

[3] N. V. Mokeeva, “Printsip predelnogo pogloscheniya v zadache o prozrachnom kline”, Zap. nauchn. semin. POMI, 332, 2006, 138–148 | Zbl

[4] V. Kamotski, G. Lebeau, “Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness”, Proc. Royal London Soc. A Math. Phys. Eng. Sci., 462, no. 2065, 2006, 289–317 | MR | Zbl

[5] S. Berntsen, C. Bergljun, “Diffraction by a dielectric wedge at skew incndence”, Quart. J. Mech. Appl. Math., 54:4 (2001), 549–583 | DOI | MR | Zbl

[6] V. M. Babich, M. A. Lyalinov, V. E. Grikurov, Diffraction Theory: The Sommerfeld–Malyuzhinets Technique, Alpha Sci. Int., Oxford, 2008

[7] O. A. Ladyzhenskaya, Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR

[8] S. A. Nazarov, B. A. Plamenevskii, Ellipticheskie zadachi v oblastyakh s kusochno gladkoi granitsei, Nauka, M., 1991