Surface impedance of a metal plate with specular boundaries in a parallel magnetic field

A theory of the geometrical dimensional effect and resonance phenomena in a plane-parallel plate sited in a permanent and homogeneous magnetic field H parallel to the boundary of the metal is developed. Assuming a quadratic and isotropic dispersion law for the electrons (alkali metal), exact equations are obtained for the high-frequency conductivity tensor of a plate with specular boundaries. The surface impedance is calculated in the case of unilateral excitation of the electromagnetic field in the specimen. A study is made of the dependence of this impedance on the frequency of the external wave ω, the thickness of the plate d, and other parameters in a wide range of variation of the magnitude of the magnetic field H. The investigation is carried out under conditions of the anomalous skin effect.

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