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Acoustic wave transmission in time-varying phononic crystals

机译:时变声子晶体中的声波传输

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Phononic crystal effects are typically narrowband and highly dependent on the size and spacing of the scatterers within the crystal-properties that are fixed and unchangeable. We propose that it may be possible to dynamically alter the behaviour of phononic crystals by varying the material properties in time. In this paper we seek to extend the existing static phononic crystal theory so as to handle time-varying material parameters and also to provide insight into the factors that govern their behaviour. Beginning with the transmission matrix method, we develop a new method to determine the acoustic wave transmission through a time-varying corrugated tube waveguide, which is analogous to a one-dimensional (1D) phononic crystal. These expressions are further developed for periodic material parameter variation signals. Our method permits the development of a closed-form solution to the acoustic wave transmission through a 1D time-varying phononic crystal. It shows excellent agreement with finite-difference time- domain simulations and with execution times several orders of magnitude faster. Preliminary results show that the band-gap properties can be significantly altered using material parameter time variation as the driving mechanism.
机译:声子晶体效应通常是窄带的,并且高度依赖于固定且不可改变的晶体特性内散射体的大小和间距。我们建议通过及时改变材料特性来动态改变声子晶体的行为是可能的。在本文中,我们试图扩展现有的静态声子晶体理论,以处理随时间变化的材料参数,并提供对控制其行为的因素的见解。从传输矩阵方法开始,我们开发了一种新方法来确定通过时变波纹管波导的声波传输,该方法类似于一维(1D)声子晶体。这些表达式被进一步开发用于周期性的材料参数变化信号。我们的方法可以为通过一维时变声子晶体的声波传输提供封闭形式的解决方案。它显示了与时域有限差分仿真的出色一致性,并且执行时间快了几个数量级。初步结果表明,使用材料参数时间变化作为驱动机制,能带隙性能可以得到显着改变。

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