One and two mode behaviors of surface phonon–polaritons of ternary mixed crystal films

One and two mode behaviors of surface phonon–polaritons of ternary mixed crystal (TMC) films are studied in the framework of the modified random-element-isodisplacement model and the Born-Huang approximation, based on the Maxwellʹs equations with the usual boundary conditions. The numerical results for the frequencies and splitting energies of the surface phonon–polaritons as functions of the composition in several II–VI and III–V compound semiconductor ternary mixed crystal films are obtained. The “two-mode” and “one-mode” behaviors for different types of systems are clearly shown in the curves of the splitting energies of surface phonon–polaritons. The theoretical conclusion obtained is agreement with the reported experiment results for bulk TMC systems.