Interface, Guided and Non-Localized Modes in Superlattices
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The numerical dispersion calculations in long-period GaAs/AlAs super-lattice were performed using a local theory with retardation as well as an effective medium approximation. The splitting of the dispersion branches near the transverse optical phonon frequencies and phonon-like to photon-like modes transition were found to depend on the superlattice spatial period. The characteristic frequencies of bulk modes and crossing point of dispersion branches estimated analytically with the use of an effective medium approximation were found to agree with the results of rigorous solution.
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