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The analytical method of solving the boundary problems for a system ofequations describing the behaviour of electrons and an electric field in theMaxwell plasma half-space is developed. Here the diffusion reflection ofelectrons from the surface as a boundary condition is supposed. The exactsolution for boundary value problem of the Vlasov-Maxwell equations through theeigenfunctions of the discrete spectrum and the continuous spectrum isobtained. The method of decomposition by eigenfunctions of discrete andcontinuous spectrum is used. The exact expression for the surface impedancealso is obtained.

Skin Effect Problem with Diffusion Boundary Conditions in Maxwell Plasma