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建立了一维无限周期声子晶体的谐振腔模型,利用谐振腔的共振条件推导出全反射隧穿导带频率满足的解析公式,从理论上解释了一维无限周期声子晶体全反射隧穿效应产生的物理机理.利用频率的解析公式对全反射隧穿导带的频率随导带级数、腔厚度以及入射角的变化规律进行了研究,圆满地解释了一维无限周期声子晶体的全反射隧穿效应的变化规律.并且将共振理论的结果与色散法的结果进行比较,其结果完全吻合.
The resonant cavity model of one-dimensional infinite periodic phononic crystals is established. The analytic formula of the frequency of total reflection tunneling conduction band is deduced by using the resonant conditions of resonant cavity. The theorem of one-dimensional infinite periodic phononic crystal total reflection tunneling Effect of the physical mechanism of the use of the frequency of the analytical formula for the total reflection of the tunneling conduction band frequency with the conduction band series, the thickness of the cavity and the angle of incidence was studied, a complete explanation of the one-dimensional infinite periodic phononic crystals Total reflection tunneling effect of the law of variation. And resonance theory results and dispersion method results are compared, the results are completely consistent.