论文标题
了解质量负载的张力谐振器的质量因素
Understanding the Quality Factor of Mass-Loaded Tensioned Resonators
论文作者
论文摘要
具有较大拉伸应力的机械谐振器使量子光学机械和新型感测的一系列实验。许多传感应用需要通过增加额外的质量来使张力的谐振器功能化。但是，这可能会极大地改变谐振器模式质量因子，从而改变其敏感性。在这项工作中，我们研究了从没有质量载荷到大质量负载对张力谐振器的模式和质量因子的跨界效果。我们通过分析模型和有限元分析表明，随着负载质量的增加，令人惊讶的是，谐振器模式形状变得独立于确切的载荷质量，因此其质量因子饱和。我们通过测量氮化硅蹦床谐振器的质量因子，同时以受控方式改变负载质量，从而在实验中验证这种饱和效应。
Mechanical resonators featuring large tensile stress have enabled a range of experiments in quantum optomechanics and novel sensing. Many sensing applications require functionalizing tensioned resonators by appending additional mass to them. However, this may dramatically change the resonator mode quality factor, and hence its sensitivity. In this work, we investigate the effect of the crossover from no mass load to a large mass load on the mode shape and quality factor of a tensioned resonator. We show through an analytical model and finite element analysis that as the load mass increases, surprisingly, the resonator mode shape becomes independent of the exact load mass, and therefore, its quality factor saturates. We validate this saturation effect experimentally by measuring the quality factor of a silicon nitride trampoline resonator while varying the load mass in a controlled manner.
