Research of a high frequency resonator using Lamb wave theory.

石英是一种物理和化学稳定的晶体物质。它被用作晶体振荡器，几乎不受老化的影响。它还广泛用于频率发生器等设备，因为与其他物质相比，石英工作稳定，热频移非常小。因此，为了使振荡器和谐振器作为电子设备实用化，需要具有良好的频率-温度特性的稳定工作。本研究中，具体研究了在石英基板上传播的板波。这种兰姆波型基板的特性包括以下内容：1）它以比表面声波高2-3倍的相速度进行高频操作。2）它允许以更大的机电耦合系数容易地激发和接收。3）它在传播路径上具有极高的反射系数，例如光栅。4）稳定的频率-温度特性显示二次曲线和第三曲线。本文对兰姆波在AT切石英上传播的温度特性的理论分析结果与实验结果进行了比较和讨论，理论分析结果与实验结果的一致性表明本文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.