Based on the transfermatrix method,the resonant tunneling effect of the acoustic wave in a tunable acousticphonon cavity made of two identical acousticphonon superlattices, which are similarly to the Zener tunneling effect of the quantum mechanics is studied theoretically. The acoustic wave tunneling kinetics process in the frequency gaps of the phonons superlattices is investigated by altering the length of the acoustic wave resonantcavity. For the different frequency gaps, the tunneling characteristics are of difference, and the tunneling frequencies of the acoustic wave presents periodicity with the increase of the resonantcavity.

acousticphonon superlattices; Zener tunneling effect; acoustic wave tunneling effect