论文标题
关于线性反馈和参数泵送对谐振器频率稳定性的影响
On the effect of linear feedback and parametric pumping on a resonators frequency stability
论文作者
论文摘要
基于微型和纳米电子机械系统(M/NEM)的谐振传感器在许多传感应用中无处不在,因为它们的出色性能功能与设备的质量因子(Q)成正比。我们在这里解决了该领域的一个经常性问题:是否会改变有效Q(即参数泵送和直接驱动速度反馈)的动态技术会影响上述传感器的性能?我们开发了两种情况的分析模型,同时保留在线性方案中,并从两个单独的来源中引入系统中的噪声:热机械和放大器(读出)噪声。我们观察到,参数泵化可以增强振幅响应中的质量因子,但在谐振器的相响应中使其恶化。在反馈的情况下,我们发现两种情况下Q都得到了增强。然后,我们同时使用直接驱动器和参数抽水来为嘈杂问题建立解决方案。我们还发现,在热机械噪声占主导地位的情况下,从没有人工q添加技术中无法获得任何好处。但是,在放大器噪声主导的情况下,我们出人意料地观察到只有使用挤压区域中的参数泵送才能实现重要优势。
Resonant sensors based on Micro- and Nano-Electro Mechanical Systems (M/NEMS) are ubiquitous in many sensing applications due to their outstanding performance capabilities, which are directly proportional to the quality factor (Q) of the devices. We address here a recurrent question in the field: do dynamical techniques that modify the effective Q (namely parametric pumping and direct drive velocity feedback) affect the performance of said sensors? We develop analytical models of both cases, while remaining in the linear regime, and introduce noise in the system from two separate sources: thermomechanical and amplifier (read-out) noise. We observe that parametric pumping enhances the quality factor in the amplitude response, but worsens it in the phase response on the resonator. In the case of feedback, we find that Q is enhanced in both cases. Then, we establish a solution for the noisy problem with direct drive and parametric pumping simultaneously. We also find that, in the case when thermomechanical noise dominates, no benefit can be obtained from neither artificial Q-enhancement technique. However, in the case when amplifier noise dominates, we surprisingly observe that a significant advantage can only be achieved using parametric pumping in the squeezing region.