Abstract:Using the scattering matrix, the resonance characteristics of the longitudinal acoustic wave in onedimensional solidliquid periodic phononic crystal with mirror cell are studied by numerical calculation. The band gap structure is obtained from the dispersion relation of the Bloch theorem. When the acoustic longitudinal wave is normally incidence, six narrowband resonant transmission peaks appear in the vicinity of odd frequency multiplications, while five weak resonant transmission peaks appear in the vicinity of even frequency multiplications. When the acoustic longitudinal wave is obliquely incident, the resonant transmission peaks shift towards the high frequency regions, and the transmission bandwidth is reduced. In addition, when the acoustic longitudinal wave is incident under total reflection conditions, the resonant transmission in the transmission spectrum indicates that the resonant tunneling effect is generated at this time. When the incident angle is 25°, there is only one resonant tunneling peak in the transmission spectrum.