论文标题
语音频率梳子的存在条件
Existence Conditions for Phononic Frequency Combs
论文作者
论文摘要
最近在机械谐振器中证明了光学频率梳的机械类似物，即声音频率梳子，并归因于多个声子模式之间的耦合。本文使用两个非线性耦合的声子模式的模型研究了模式结构对梳子生成的影响。该模型预测，梳子存在的幅度频率空间中只有一个区域，而该区域是Arnold舌的子集，描述了两种模式之间的2：1自动掌握共振。此外，梳子区域的位置和形状是通过谐振频率，质量因子，模式耦合强度以及从机械共振的驱动力频率中解析的，从而为梳子发电提供了清晰的条件。这些结果使在诸如感应，通信和量子信息科学之类的领域的应用程序中实现了梳状结构工程。
The mechanical analog of optical frequency combs, phononic frequency combs, has recently been demonstrated in mechanical resonators and has been attributed to coupling between multiple phonon modes. This paper investigates the influence of mode structure on comb generation using a model of two nonlinearly coupled phonon modes. The model predicts that there is only one region within the amplitude-frequency space where combs exist, and this region is a subset of the Arnold tongue that describes a 2:1 autoparametric resonance between the two modes. In addition, the location and shape of the comb region are analytically defined by the resonance frequencies, quality factors, mode coupling strength, and detuning of the driving force frequency from the mechanical resonances, providing clear conditions for comb generation. These results enable comb structure engineering for applications in areas as broad as sensing, communications, and quantum information science.
