Research of a high frequency resonator using Lamb wave theory.

石英是一种物理和化学上稳定的结晶物质。它被用作晶体振荡器，几乎不受老化的影响。它还被广泛应用于频率发生器等设备中，因为与其他物质相比，石英运行稳定，热频移很小。因此，将振荡器和谐振器作为电子器件投入实际应用需要稳定的工作状态和良好的频率-温度特性。在本研究中，我们专门研究了在石英衬底上传播的平板波。这种兰姆波型衬底的特点包括：1)它以比声表面波高2-3倍的相速度进行高频操作。2)它易于激发和接收，具有更大的机电耦合系数。3)它具有极高的反射系数，如传播路径上的光栅。4)稳定的频率-温度特性表现为二次曲线和第三曲线。对兰姆波在AT切割石英上传播的温度特性进行了理论分析和实验结果的比较和讨论，理论结果与实验结果吻合较好，表明本研究的分析结果是可靠的。

Quartz is a physically and chemically stable crystalline substance. It has been used as a crystal oscillator that is little affected by aging. It is also widely used in devices such as a frequency generator because quartz operates stably with very little thermal frequency shift compared with other substances. Therefore, putting an oscillator and a resonator to practical use as an electronic device requires stable operation with good frequency-temperature characteristics.In this study, we have specifically examined a plate wave propagating on a quartz substrate. The characteristics of this Lamb-wave-type substrate include the following:1) It performs high-frequency operations with phase velocity that is 2-3 times higher than that of a surface acoustic wave.2) It allows easy excitation and reception with a greater electromechanical coupling coefficient.3) It has an extremely high coefficient of reflection from reflectors such as a grating on the propagation path.4) The steady frequency-temperature characteristics show a quadric curve and the third curve. The analytical results and experimental results for the temperature characteristics of a Lamb wave propagating on an AT cut quartz are compared and discussed in this study.The agreement between the theoretical and experimental results shows that the analytical results of this study were reliable.