Resonant second harmonics generation of the submillimeter surface wave in the semiconductor superlattice bounded by a metal

In the present paper we are interested in compositional superlattices of the first kind with periodically alternating layers of wide-band and narrow-band semiconductors, where the formation of conductive two-dimensional conductive layers takes place due to a significant distortion of the energy band structure. The superlattices based on GaAs-AlGaAs heterostructures can be taken as an example in this case. In the presence of the external quantizing magnetic field, the realisation of the quantum Hall effect (QHE) in two-dimensional conductive layers is possible. In the present paper we deal with the surface magnetoplasma modes propagating on the lateral surface (i.e. on the surface which is perpendicular to two-dimensional conductive layers and is parallel to the superlattice axis) of the semiconductor superlattice coated by a metal plane. Here we study the process of the resonant second harmonics generation of the SM, which can be of interest for design of semiconductor frequency multipliers. The resonant second harmonics generation is realised when the eigenfrequencies and the wavenumbers of the first and the second harmonics are coupled by phase synchronism conditions.