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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 1, Pages 137–151
(Mi zvmmf58)
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This article is cited in 6 scientific papers (total in 6 papers)
Solution of the skin effect problem with an arbitrary coefficient of specular reflection
A. V. Latyshev, A. A. Yushkanov Moscow State Regional University, ul. Radio 10a, Moscow, 105005, Russia
Abstract:
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.
Key words:
skin effect in metals, specular-diffuse boundary conditions, analytical method for solving the skin effect problem, Neumann series.
Received: 08.02.2008
Citation:
A. V. Latyshev, A. A. Yushkanov, “Solution of the skin effect problem with an arbitrary coefficient of specular reflection”, Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009), 137–151; Comput. Math. Math. Phys., 49:1 (2009), 131–145
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https://www.mathnet.ru/eng/zvmmf58 https://www.mathnet.ru/eng/zvmmf/v49/i1/p137
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Abstract page: | 333 | Full-text PDF : | 170 | References: | 43 | First page: | 12 |
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