Simple Theory of Magnetic-Field-Dependent Absorption of Electromagnetic Radiation in the Extreme Anomalous Relaxation Region

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Abstract
We present a theory of dc magnetic-field-dependent absorption of electromagnetic radiation by conducting solids in the extreme anomalous relaxation region based on a simple electron time-of-flight method originally developed by Holstein for zero magnetic field. It is shown that the conditions of the extreme anomalous relaxation region imply that the absorption is due mainly to electrons which make collisions with the surface of the material, and that the form and magnitude of the absorptivity is strongly dependent on the condition of the surface. The calculation for the absorptivity has been performed for the rf electric field parallel to the dc magnetic field (E∥H) for both diffuse and specular surface scattering of electrons and also for E∥H for diffuse surface scattering. We find agreement with Jones and Sondheimer, who have made the calculation using a Boltzmann-equation approach. The effects of bulk absorptivity are included in the calculation, and predictions for experiments are made for semimetals and degenerate semiconductors in the millimeter and submillimeter wavelength range.

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