用于超低损耗机械系统设计的液氦温度下Langatate弹性性能的测量
Measurements of Elastic Properties of Langatate at Liquid Helium Temperatures for design of ultra low loss mechanical systems
摘要：
我们提出了在液氦温度范围内基于全合成晶体材料的声波器件的完整特性{在包括频率控制和基本测量在内的许多研究领域中超低损耗机械系统的设计所需}。在$3.8-15$ K温度范围内，确定了拉格朗日表象中的Langatate有效弹性张量（LGT）的温度系数。拉格朗日形式主义是强制性的，在分析的情况下，因为膨胀系数的LGT在这些温度下仍然是未知的。该测量方法涉及一组不同切割角的高质量谐振器，并使用频率-温度关系的测量来提取弹性张量的温度系数。此外，在低温下的LGT谐振器的功率灵敏度的确定和主导的损耗机制被识别。
英文摘要：
We present full characterisation of acoustic wave devices based on the fully synthetic crystalline material at the liquid helium temperature range { required for the design of ultra low loss mechanical systems in many areas of research including frequency control and fundamental measurements}. Temperature coefficients of the effective elastic tensor of Langatate (LGT) in Lagrangian representation are determined for the temperature range $3.8-15$K. The Lagrangian formalism is mandatory in the analysed situation since the expansion coefficients of the LGT are still unknown at these temperatures. The measurement method involves a set of high-quality resonators of various cut angles, and uses measurements of frequency-temperature relations to extract the temperature coefficients of the elastic tensor. In addition, power sensitivity of LGT resonators at cryogenic temperatures is determined and dominant loss mechanism is identified.
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