A theoretical model of the conductivity of a thin metal layer in a longitudinal constant magnetic and alternative electric field in the view of diffuse-specular boundary conditions is constructed. An analytical expression is obtained for the integral conductivity as a function of dimensionless parameters: layer thickness, electric field frequency, magnetic field induction and surface specularity coefficients. The dependences of the layer conductivity on the above mentioned parameters are analyzed. The results are compared with known experimental data.

The problem of the high-frequency conductivity of a thin conductive layer in a longitudinal magnetic field is solved in terms of kinetic approach taking into account diffuse-mirror boundary conditions. Specularity coefficients of layer surfaces are assumed to be different. An analytical expression is derived for dimensionless integral conductivity as a function of dimensionless parameters: layer thickness, electric field frequency, magnetic induction, chemical potential and surface specularity coefficients. The limiting cases of a degenerate and non-degenerate electron gas are considered. A comparative analysis of theoretical calculations with experimental data is carried out. The method to determine specularity coefficients and mean free path of charge carriers from the longitudinal magnetoresistance of a thin metal film is illustrated.