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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2009 Volume 49, Number 1, Pages 137–151 (Mi zvmmf58)

This article is cited 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.

UDC: 519.634

Received: 08.02.2008


 English version:
Computational Mathematics and Mathematical Physics, 2009, 49:1, 131–145

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