Skin effect in massive conductors of pulsed electrical circuits

In the paper the diffusion of the pulsed electromagnetic field into a massive conductor with an arbitrary smooth surface is considered for the case when the field penetration depth is small. An asymptotic solution for the electromagnetic field is constructed by using the boundary layer method. First- and second-order corrections to the limiting solution, which corresponds to the field distribution at an indefinitely high conductivity of the conductors, are found. Time dependences of the first- and second-order approximation to the electric field on the surface of the conductors are defined. These dependencies establish the time domain formulas for the first- and second-order approximation of the voltage drop on massive conductors. Examples are presented demonstrating the influence of the conductor geometry and field distribution peculiarities on the constant parameters of the first- and second-order approximation.