Abstract
The theory of surface plasmon-polariton propagation on a semiconductor exposed to an external constant, magnetic field is developed. A Voigt configuration is chosen in which the magnetic field is parallel to the surface but is perpendicular to the direction of propagation. Spatial dispersion and surface inhomogeneity are included and comprehensive analytical and numerical solutions are given. An application of a novel integral-matrix technique enables the type of a surface density profile to be chosen on the grounds of simplicity. It is shown that the introduction of spatial dispersion creates modes with complex frequencies and these are computed and discussed in detail. The combination of surface structure and spatial dispersion introduces extra modes which are sensitive to the applied magnetic field.