Abstract
The author presents a formalism for the study of the effects of alloy disorder at crystalline interfaces on the phonon boundary scattering cross section. The disordered region is treated within the coherent potential approximation adapted to the interface geometry. The formalism is based on t-matrix scattering theory and allows for separation of the coherent and incoherent parts of the reflection and transmission channels. The theory is developed for a single-phonon-branch model and numerical results are presented for a simple cubic interface.
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