Cyclotron Resonance in the Extreme Anomalous Relaxation Region

A reformulation of the theory of cyclotron resonance in metals as a variational problem is combined with the exact solution of the Boltzmann equation and used to calculate the surface resistance of an isotropic electron gas, in the extremeanom alous relaxation region, as a function of an applied magnetic field parallel to the surface of the medium . The line shapes obtained depend strongly on the diffuse or specular nature of the electron scattering a t the surface and also on the longitudinal or transverse orientation of the magnetic field relative to the current. The effect should be observable in degenerate semiconductors and semimetals a t infra-red frequencies.