Geodesic
Scattering characteristics of a diffraction problem on a wedge and on a screen
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 193-197 
E. M. Il'in. Scattering characteristics of a diffraction problem on a wedge and on a screen. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 193-197. http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a13/
@article{ZNSL_1982_107_a13,
     author = {E. M. Il'in},
     title = {Scattering characteristics of a~diffraction problem on a~wedge and on a~screen},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {193--197},
     year = {1982},
     volume = {107},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a13/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Explicit formulae for wave operators are given and the completeness of the operators is established for a class of boundary conditions. It ia shown that modified (taking the reflection into account) scattering matrix is a unitary operator with a pure point spectrum. Ordinary $S$-matrix is a unitary operator for a screen. Under the Dirichlet (Neumann) boundary condition $S$-matrix is diagonalized explicitly. The simple absolutely continuous spectrum of $S$-matrix contains a lower (upper) semicircumference.