Penetration of a low-frequency H-wave into a conducting circular cylinder

We study the progressive penetration of current in a circular cylinder immersed in an H-wave. The material of the cylinder is a nonmagnetic good conductor, and we consider frequencies extending from zero to the low "resonance" region. We examine the evolution of quantities such as the fields at the surface of the cylinder, the scattering cross sections, and the Joule losses. Particular attention is devoted to the limits of small and deep penetrations, for which suitable approximation formulas are derived.