Geodesic
The diffraction from the wedge-shaped region with curved bounds
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 263-273

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A problem of the diffraction of the waves over-running on the wedge-shaped region $\Omega$ with curved bounds is considered. The incidence wave is given by the ray expansion. The scattered field is found as sum of the geometric-optical field and the diffractional field. 
@article{ZNSL_1998_250_a16,
     author = {V. B. Philippov and N. Ya. Kirpichnikova},
     title = {The diffraction from the wedge-shaped region with curved bounds},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {263--273},
     publisher = {mathdoc},
     volume = {250},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a16/}
}
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V. B. Philippov; N. Ya. Kirpichnikova. The diffraction from the wedge-shaped region with curved bounds. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 263-273. http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a16/