SURFACE-IMPEDANCE ANOMALIES AT PERPENDICULAR-FIELD CYCLOTRON RESONANCE IN ANOMALOUS-SKIN-EFFECT REGIME

A model of a rough surface is proposed in which the physical effects are simulated mathematically in a Boltzmann-equation formalism by allowing the scattering time for electrons to depend upon their depth beneath the surface. The nonlocal conductivity in this model is evaluated by solving the linearized Boltzmann equation, and the field which that conductivity supports is then determined variationally. This model accounts for one of the two types of anomalies in the surface resistance observed at perpendicularfield cyclotron resonance in the anomalous-skin-effect regime. The possibility of constrained electrons producing the other type of anomaly is briefly considered. © 1969 The American Physical Society.