Abstract In this research, the hydrostatic pressure effects on the transmission spectra of a one-dimensional (1D) defective phononic crystal (PnC) are calculated and studied. The transmission spectra of the defective PnC are calculated based on the transfer matrix method (TMM). To measure the hydrostatic pressure efficiently, a pressure-sensitive material such as Poly (methyl methacrylate) (PMMA) is proposed as a defect layer. Thereby, the proposed PnC structure is designed from silicon (Si) and tungsten (W) according to the configuration [(Si/W)2 PMMA (Si/W)2]. The numerical results show the appearance of a localized resonant mode through the transmission spectra. A wide pressure range from 0 GPa to 10 GPa is considered on the PnC transmission spectra and the localized resonant mode as well. Remarkably, any increase in the hydrostatic pressure value resulted in the displacement of the resonant mode towards the higher frequencies with a significant increase in its intensity as well. The effect of the PMMA thickness on the number of resonant modes is studied as well. Moreover, the proposed PnC design showed high performance for hydrostatic pressure sensing represented by the high sensitivity and Q-factor values of 556,300 Hz/GPa and 3660, respectively. We expect this design to attract the researchers' attention to hydrostatic pressure influences that may affect different PnC designs and applications.

中文翻译：

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静水压力对包含聚合物材料的一维缺陷声子晶体的影响

摘要 在这项研究中，计算和研究了静水压力对一维 (1D) 缺陷声子晶体 (PnC) 透射光谱的影响。有缺陷的 PnC 的透射光谱是基于传递矩阵方法 (TMM) 计算的。为了有效地测量静水压力，提出了一种压敏材料，如聚（甲基丙烯酸甲酯）（PMMA）作为缺陷层。因此，建议的 PnC 结构是根据配置 [(Si/W)2 PMMA (Si/W)2] 由硅 (Si) 和钨 (W) 设计的。数值结果通过透射光谱显示了局部共振模式的出现。PnC 透射光谱和局部共振模式也考虑了从 0 GPa 到 10 GPa 的宽压力范围。值得注意的是，静水压力值的任何增加都会导致共振模式向更高频率的位移，其强度也显着增加。还研究了 PMMA 厚度对谐振模式数量的影响。此外，所提出的 PnC 设计显示出静水压力传感的高性能，其高灵敏度和 Q 因子值分别为 556,300 Hz/GPa 和 3660。我们希望这种设计能够吸引研究人员对可能影响不同 PnC 设计和应用的静水压力影响的关注。提议的 PnC 设计显示出静水压力传感的高性能，其高灵敏度和 Q 因子值分别为 556,300 Hz/GPa 和 3660。我们希望这种设计能够吸引研究人员对可能影响不同 PnC 设计和应用的静水压力影响的关注。提议的 PnC 设计显示出静水压力传感的高性能，其高灵敏度和 Q 因子值分别为 556,300 Hz/GPa 和 3660。我们希望这种设计能够吸引研究人员对可能影响不同 PnC 设计和应用的静水压力影响的关注。