Structure of the electric field in the skin-effect problem

The structure of the electric field in a metal has been elucidated for the skin-effect problem. It is demonstrated that the electric field is the sum of the integral term and two (or one) exponentially decreasing particular solutions to the initial system and that one particular solution disappears depending on the anomality parameter. An expression for the distribution function profile in the half-space and at the metal boundary is obtained in the explicit form. The absolute value, the real part, and the imaginary part of the electric filed are analyzed in the case of the anomalous skin effect.