Phonon transmission across an interface between two crystals

A new model of phonon transmission across interface between two crystals is proposed which takes into account the mismatch of crystal lattices. It has been found that the mismatch of lattices results in phonon scattering at the interface even in the absence of defects. As it has been shown, at the normal incidence, longitudinally polarized phonons have much larger transmission coefficient than that of transversely polarized phonons, excluding special resonance cases. Allowance for this factor results in a calculated Kapitza resistance value that is approximately three times greater. For the quasi one-dimensional case, an exact solution has been obtained.