Geodesic
Diffraction of a~plane electromagnetic wave by a~wedge with dielectric coating under oblique incidence on the edge
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 24, Tome 218 (1994), pp. 72-95

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

The diffraction by a coated wedge of an electromagnetic plane wave with skew incidence on the edge is being considered. Generalized impedance boundary conditions (GIBC's) on the wedge's faces are used to simulate the effect of the coatings. For the problem to be well-posed, special Contact Conditions (CC's) are additionally satisfied at the edge. The problem is reduced to a system of coupled functional equations by means of Sommerfeld integrals, and the system is solved by a perturbation method. It is shown that for a certain range of the angles of skew incidence the solution is presented by converging series which are Neumann recurrent series for a linear equations with conttacting operators. The non-uniform wave field asymptotics are constructed for the region outside the vicihity of the edge of the wedge. Bibliography: 9 titles. 
@article{ZNSL_1994_218_a7,
     author = {M. A. Lyalinov and L. G. Vardapetyan},
     title = {Diffraction of a~plane electromagnetic wave by a~wedge with dielectric coating under oblique incidence on the edge},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {72--95},
     publisher = {mathdoc},
     volume = {218},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_218_a7/}
}
TY  - JOUR
AU  - M. A. Lyalinov
AU  - L. G. Vardapetyan
TI  - Diffraction of a~plane electromagnetic wave by a~wedge with dielectric coating under oblique incidence on the edge
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1994
SP  - 72
EP  - 95
VL  - 218
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1994_218_a7/
LA  - ru
ID  - ZNSL_1994_218_a7
ER  - 
%0 Journal Article
%A M. A. Lyalinov
%A L. G. Vardapetyan
%T Diffraction of a~plane electromagnetic wave by a~wedge with dielectric coating under oblique incidence on the edge
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 72-95
%V 218
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_218_a7/
%G ru
%F ZNSL_1994_218_a7
M. A. Lyalinov; L. G. Vardapetyan. Diffraction of a~plane electromagnetic wave by a~wedge with dielectric coating under oblique incidence on the edge. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 24, Tome 218 (1994), pp. 72-95. http://geodesic.mathdoc.fr/item/ZNSL_1994_218_a7/