Geodesic
A~short-wave diffraction on the screen with variable transparency
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 11, Tome 104 (1981), pp. 24-32

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The diffraction of the short cylindrical wave by the plane screen with variable transparency is considered. The solution of the problem in explicit form and high frequency asymptotic formulas for all waves arising in this diffraction process are obtained. 
@article{ZNSL_1981_104_a3,
     author = {I. Y. Bylyi},
     title = {A~short-wave diffraction on the screen with variable transparency},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {24--32},
     publisher = {mathdoc},
     volume = {104},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_104_a3/}
}
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I. Y. Bylyi. A~short-wave diffraction on the screen with variable transparency. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 11, Tome 104 (1981), pp. 24-32. http://geodesic.mathdoc.fr/item/ZNSL_1981_104_a3/