High-sensitivity in various gyrator-based circuits with exceptional points of degeneracy

IF 1.5 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY
K. Rouhi, A. Nikzamir, A. Figotin, F. Capolino
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引用次数: 1

Abstract

Exceptional points of degeneracy (EPD) can enhance the sensitivity of circuits by orders of magnitude. We show various configurations of coupled LC resonators via a gyrator that support EPDs of second and third-order. Each resonator includes a capacitor and inductor with a positive or negative value, and the corresponding EPD frequency could be real or imaginary. When a perturbation occurs in the second-order EPD gyrator-based circuit, we show that there are two real-valued frequencies shifted from the EPD one, following a square root law. This is contrary to what happens in a Parity-Time (PT) symmetric circuits where the two perturbed resonances are complex valued. We show how to get a stable EPD by coupling two unstable resonators, how to get an unstable EPD with an imaginary frequency, and how to get an EPD with a real frequency using an asymmetric gyrator. The relevant Puiseux fractional power series expansion shows the EPD occurrence and the circuit's sensitivity to perturbations. Our findings pave the way for new types of high-sensitive devices that can be used to sense physical, chemical, or biological changes.
具有特殊简并点的各种陀螺电路的高灵敏度
异常简并点(EPD)可以使电路的灵敏度提高几个数量级。我们通过一个支持二阶和三阶epd的旋转器展示了耦合LC谐振器的各种配置。每个谐振器包括一个电容和一个正负值的电感,相应的EPD频率可以是实的也可以是虚的。当二阶EPD旋转电路中出现扰动时,我们证明了有两个实值频率从EPD偏移,遵循平方根定律。这与奇偶时间(PT)对称电路中发生的情况相反,其中两个摄动共振是复值的。我们展示了如何通过耦合两个不稳定谐振器获得稳定的EPD,如何获得虚频率的不稳定EPD,以及如何使用非对称旋转器获得实频率的EPD。相关的普塞分数阶幂级数展开式显示了EPD的发生和电路对微扰的敏感性。我们的发现为新型高灵敏度设备铺平了道路,这些设备可用于感知物理、化学或生物变化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
EPJ Applied Metamaterials
EPJ Applied Metamaterials MATERIALS SCIENCE, MULTIDISCIPLINARY-
CiteScore
3.10
自引率
6.20%
发文量
16
审稿时长
8 weeks
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