Solution of the skin effect problem with an arbitrary coefficient of specular reflection
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 137-151
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An analytical solution of the skin effect problem in a metal with specular-diffuse boundary conditions is obtained. A new analytical method is developed that makes it possible to obtain a solution up to an arbitrary degree of accuracy. The method is based on the idea of representing not only the boundary condition on the field in the form of a source (which is conventional) but also the boundary condition on the distribution function. The solution is obtained in the form of a von Neumann series.
@article{ZVMMF_2009_49_1_a9,
author = {A. V. Latyshev and A. A. Yushkanov},
title = {Solution of the skin effect problem with an arbitrary coefficient of specular reflection},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {137--151},
publisher = {mathdoc},
volume = {49},
number = {1},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a9/}
}
TY - JOUR AU - A. V. Latyshev AU - A. A. Yushkanov TI - Solution of the skin effect problem with an arbitrary coefficient of specular reflection JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 137 EP - 151 VL - 49 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a9/ LA - ru ID - ZVMMF_2009_49_1_a9 ER -
%0 Journal Article %A A. V. Latyshev %A A. A. Yushkanov %T Solution of the skin effect problem with an arbitrary coefficient of specular reflection %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 137-151 %V 49 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a9/ %G ru %F ZVMMF_2009_49_1_a9
A. V. Latyshev; A. A. Yushkanov. Solution of the skin effect problem with an arbitrary coefficient of specular reflection. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 137-151. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a9/