Optical properties of group-III arsenide ternary and quaternary alloys are investigated theoretically by a generalized mixed crystal theory. On the basis of a modified random element isodisplacement approach, long-wavelength optical phonon energies, phonon mode strengths and dielectric functions of AlxGa1−xAs,AlxIn1−xAs, and GaxIn1−xAs ternary alloys, and also of AlxGayIn1−x−yAs quaternary alloys are calculated numerically in the whole compositional range. The results are discussed and compared with experimental results. It is confirmed that the optical phonon spectra of AlxGayIn1−x−yAs alloys will exhibit three optical phonon modes in most of the compositional range.

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