Geodesic
To the problem of diffraction by a~strip. Some properties of the Sohwarzschild's series
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 258-285

Voir la notice de l'article provenant de la source Math-Net.Ru

The $2D$ problem of diffraction of a plane wave by a strip with ideal boundary conditions is considered. The solution is constructed in the form of diffraction series, i.e., the series over the successive acts of scattering by the edges of the slit. The technique of exact transformations of the diffraction series is proposed. The embedding formula and the ordinary differential equations for the far-field diagram of the field is obtained. 
@article{ZNSL_2001_275_a18,
     author = {A. V. Shanin},
     title = {To the problem of diffraction by a~strip. {Some} properties of the {Sohwarzschild's} series},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {258--285},
     publisher = {mathdoc},
     volume = {275},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a18/}
}
TY  - JOUR
AU  - A. V. Shanin
TI  - To the problem of diffraction by a~strip. Some properties of the Sohwarzschild's series
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2001
SP  - 258
EP  - 285
VL  - 275
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a18/
LA  - ru
ID  - ZNSL_2001_275_a18
ER  - 
%0 Journal Article
%A A. V. Shanin
%T To the problem of diffraction by a~strip. Some properties of the Sohwarzschild's series
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 258-285
%V 275
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a18/
%G ru
%F ZNSL_2001_275_a18
A. V. Shanin. To the problem of diffraction by a~strip. Some properties of the Sohwarzschild's series. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 258-285. http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a18/