The Magneto-Optical Response of Diluted Magnetic Semiconductor $CdTe-Cd_{1-x}Mn_{x}Te$ Multi Quantum Wells in the Voigt Configuration

We have calculated the s- and p-polarized far infrared magnetoplasmon spectra of doped $CdTe-Cd_{1-x}Mn_{x}Te$ multi quantum wells in the presence of a static magnetic field up to 20 T parallel to the surface of the layers using a macroscopic model based on effective medium theory, using a novel approach which gives a good account of the data together with a clear physical interpretation of the various spectral features, such as the free carrier and optical phonon properties. The results show that the transverse optical modes (for the whole composition range, x = 0 to 1) are sensitive and change linearly with respect to the composition parameter. In p-polarized reflectivity the cyclotron resonance experiences a blue shift when the magnetic field strength increases. Also, the analysis of the dielectric tensor function and the Voigt dielectric function is used to determine the carriers' cyclotron effective masses (for both holes and electrons) as a function of composition. Furthermore, a modified random element iso-displacement approach has been extended for the multi layers to analyze the influence of the composition on the optical phonon response in the barrier layer.