Geodesic
Shortwave grazing scattering of a plane wave on a periodic structure composed of inclined half-planes
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 58-66

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The scalar scattering problem of a plane wave on a periodic structure composed of an inclined half-planes is considered. The formula for the coefficients of plane waves in reflected wave field expression by means of the Wiener–Hopf method is received. In the case of small grazing angle and a short wave approximation a main term of this result is derived. 
@article{ZNSL_1989_179_a7,
     author = {V. V. Zalipaev},
     title = {Shortwave grazing scattering of a plane wave on a periodic structure composed of inclined half-planes},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {58--66},
     publisher = {mathdoc},
     volume = {179},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a7/}
}
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V. V. Zalipaev. Shortwave grazing scattering of a plane wave on a periodic structure composed of inclined half-planes. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 58-66. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a7/