Line Shapes in the Radio-Frequency Size Effect of Metals

Abstract

The nonmonotonic behavior of the surface impedance of a thin metal plate excited by a high-frequency electromagnetic field has been examined as a function of a dc magnetic field imposed parallel to the faces of the plate. The line shapes of this rf size effect have been calculated for different types of electronic orbits and for different modes of excitation of the plate by the high-frequency field. The spatial distribution of the electric field, including the field "splashes" associated with the anomalous penetration of the electric field into the sample due to chains of trajectories, was obtained self-consistently from the integrodifferential equation which results after combining Maxwell's equations with Chambers's solution to the Boltzmann equation under the nonlocal conditions of the anomalous skin effect, assuming diffuse scattering at the surfaces and a constant relaxation time for bulk scattering. Qualitative comparison with experiment has been made.