论文标题
基于异常的退化和非线性点，高度敏感的耦合振荡器
Highly Sensitive Coupled Oscillator Based on an Exceptional Point of Degeneracy and Nonlinearity
论文作者
论文摘要
我们提出了一种方案，用于在具有特殊的退化点（EPD）和较小不稳定性的耦合谐振系统中获得高度敏感的振荡器。通过使用两个几乎平衡的小信号增益和损失的耦合谐振器，可以实现具有特殊变性的振荡器，这是由于活性成分的非线性效应而饱和，从而导致振荡频率对电路的扰动非常敏感。研究了两种情况，有两个平衡的小信号增益和损失的平行LC共振器，它们要么通过相互电感无线耦合，要么由电容器耦合。本文在理论上和实验上证明了获得二阶EPD振荡器的条件，并分析了振荡频率对组件的扰动的超敏性，包括破坏PT对称的不对称扰动的情况。我们讨论了非线性对振荡器性能的影响以及提出的方案如何提高感应的扰动敏感性。与以前的方法相反，我们提出的退化振荡器可以感觉到电路成分的正变化或负变化。退化的振荡器电路可能会在各个区域找到应用，例如超敏感器，可调振荡器和调节器。
We propose a scheme for obtaining highly-sensitive oscillators in a coupled-resonator system with an exceptional point of degeneracy (EPD) and a small instability. The oscillator with the exceptional degeneracy is realized by using two coupled resonators with an almost balanced small-signal gain and loss, that saturates due to nonlinear effects of the active component, resulting in an oscillation frequency that is very sensitive to a perturbation of the circuit. Two cases are investigated, with two parallel LC resonators with balanced small-signal gain and loss that are either coupled wirelessly by mutual inductance or coupled-wired by a capacitor. This paper demonstrates theoretically and experimentally the conditions to obtain a second-order EPD oscillator and analyzes the ultrasensitivity of the oscillation frequency to components' perturbation, including the case of asymmetric perturbation that breaks PT-symmetry. We discuss the effects of nonlinearity on the performance of the oscillator and how the proposed scheme improves the sensing's sensitivity of perturbations. In contrast to previous methods, our proposed degenerate oscillator can sense positive or negative changes of a circuit component. The degenerate oscillator circuit may find applications in various areas such as ultrasensitive sensors, tunable oscillators and modulators.
