Surface resistance of a cadmium plate in a magnetic field

The dependence of the surface resistance of a cadmium plate on the strength of a magnetic field directed along the normal to the surface is investigated theoretically and experimentally. The spatial distribution of a radiofrequency field within a metal is analyzed theoretically on the basis of a paraboloidal Fermi-surface model which permits one to carry out all calculations in a closed form. It is shown that the wave field in a metal is the sum of a damping component, which describes the normal skin effect in a magnetic field, and of a doppleron field which is damped over distances of the order of the carrier mean free path. It is found that in diffuse reflection of the carriers from the surface the amplitudes of both components possess a root singularity near the doppleron threshold and the surface resistance of a massive sample exhibits a kink at this point. A knownledge of the spatial distribution of the alternating field permits one to determine the variation of the surface resistance of a thick plate due to transmission of a doppleron through it. The dependence of the resistance oscillation amplitude on magnetic field strength and carrier mean free path derived here is in agreement with direct measurements of the plate resistance.