散射矩阵法研究介质波阻抗对声子晶体传输特性的影响

Scattering Matrix Study About Impact of Wave Impedance on Transmission of Phononic Crystal

利用散射矩阵法研究介质波阻抗对弹性波在一维声子晶体中传输特性的影响。结果表明,对固-液介质声子晶体,其禁带随介质波阻抗比增大而加宽;当入射、出射介质波阻抗比增大时,透射率减小。对固-固介质声子晶体,纵波正入射时,随入射、出射介质波阻抗比的增大,透射率减小,带间局域谐振增强;剪切波正入射时,透射率随入射、出射介质波阻抗比增大而减小。

Using scattering matrix method, an investigation about the impact of wave impedance on the trans mission of elastic wave propagation in one-dimensional phononic crystal was carried out. It indicated that, for solid-li quid medium phononic crystal, the acoustic band gap （ABG） gets wide with the increasing of incident/emergent wave impedance ratio. However, the transmittance decreases as resonance strengthens. In solid-solid multilayer structure, incident/emergent wave impedance ratio increases and local for longitudinal wave normal ineidence, the transmittance decreases and interband local resonance is enhanced as incident/emergent wave impedance ratio increases. But for shear wave normal incidence, the transmittance decreases as incident/emergent wave impedance ratio increases.