Nonlinear size cyclotron resonance in bismuth
Abstract
Second-harmonic generation on reflection of an electromagnetic wave from a thin conducting plate whose thickness is much greater than the depth of the skin layer but much smaller than the electron mean free path length, in a magnetic field parallel to the surface of the plate is studied. The analysis is performed taking into correct account the scattering of electrons by the boundaries, which was assumed to be close to diffuse. Numerical calculations of the amplitude and phase of the reflected second harmonic as a function of the magnetic field were carried out in the case of bismuth near the nonlinear resonance, when the doubled frequency of the electromagnetic wave is a multiple of the cyclotron frequency of the electrons, whose orbital diameter equals the thickness of the plate. The dispersion law for electrons in bismuth was described by the McClure–Choi model.