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
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.
skin effect in metals, specular-diffuse boundary conditions, analytical method for solving the skin effect problem, Neumann series.
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Computational Mathematics and Mathematical Physics, 2009, 49:1, 131–145
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
Citation in format AMSBIB
\by A.~V.~Latyshev, A.~A.~Yushkanov
\paper Solution of the skin effect problem with an arbitrary coefficient of specular reflection
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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A. V. Latyshev, A. A. Yushkanov, “Temperature jump in degenerate quantum gases in the presence of a Bose–Einstein condensate”, Theoret. and Math. Phys., 162:1 (2010), 95–105
A. V. Latyshev, A. A. Yushkanov, “Temperature jump in degenerate quantum gases with the Bogoliubov excitation energy and in the presence of the Bose–Einstein condensate”, Theoret. and Math. Phys., 165:1 (2010), 1358–1370
Latyshev A.V., Yushkanov A.A., “Skin effect with arbitrary specularity in Maxwellian plasma”, J. Math. Phys., 51:11 (2010), 113505, 10 pp.
Latyshev A.V., Yushkanov A.A., “Effect of the dependence of the specular reflectance on the angle of incidence of electrons on the impedance”, Technical Physics, 55:9 (2010), 1233–1239
N. B. Engibaryan, A. Kh. Khachatryan, “Solvability of an integrodifferential equation arising in the nonlocal interaction of waves”, Comput. Math. Math. Phys., 54:5 (2014), 834–844
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