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Imaginary resistor based Parity-Time symmetry electronics dimers

机译：基于虚电阻的奇偶校验时间对称电子二聚体

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摘要

An approach of fabricating Parity-Time symmetry electronic dimers circuits is demonstrated using an imaginary resistor Z whose impedance is frequency independent. Remarkably, the dynamic rate equations of the coupled oscillators so-called ZRC dimers, uniquely consist of first order partial differential equations which result in a 2 x 2 effective Hamiltonians commuting with the joint Parity-Time (PT) operator. The method helps in describing two groups of PT symmetry electronics. The first group has an eigenspectrum that displays a single spontaneous PT transition or a thresholdless (THL) PT transition. The second group is a PT transitionless normal mode spectrum with essentially negative values of capacitors. The dynamics indicate that the system exhibits high frequencies propagation when operation is done before the thresholdless point is reached. The transitionless regime indicates an equilibrium point in the coupling for which the system turns to be conservative regardless the gain/loss values, and beyond which the gain/loss remarkably decays/amplifies wave. In addition, we observe a value of gain/loss above which there is a limitation of signal amplification.
机译：使用阻抗与频率无关的虚构电阻Z演示了一种奇偶时间对称电子二聚物电路的制造方法。值得注意的是，耦合振荡器的动态速率方程，即所谓的ZRC二聚体，唯一地由一阶偏微分方程组成，这些方程导致2 x 2的有效哈密顿量与联合奇偶时间（PT）算符交换。该方法有助于描述两组PT对称电子器件。第一组具有显示单个自发PT过渡或无阈值（THL）PT过渡的特征谱。第二组是PT无过渡正常模式频谱，其电容器的值基本上为负。动力学表明，在达到无阈值点之前完成操作时，系统表现出高频传播。无过渡状态表示耦合中的平衡点，对于该平衡点，无论增益/损耗值如何，系统都将变为保守状态，并且超出该平衡点，增益/损耗会明显衰减/放大波。另外，我们观察到增益/损耗的值，在该值之上存在信号放大的限制。

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  • 来源
    《Optical and quantum electronics》 |2019年第10期|335.1-335.17|共17页
  • 作者

    Tabeu Stephane Boris; Fotsa-Ngaffo Fernande; Kenfack-Jiotsa Aurelien;

  • 作者单位

    Univ Yaounde I Lab Mech Mat & Struct Dept Phys Fac Sci POB 812 Yaounde Cameroon|Univ Yaounde I Nonlinear Phys & Complex Syst Grp Dept Phys Higher Teachers Training Coll POB 47 Yaounde Cameroon|Univ Yaounde I Lab Elect & Signal Proc Dept Elect & Telecommun Engn Natl Adv Sch Engn POB 8390 Yaounde Cameroon;

    Univ Yaounde I Nonlinear Phys & Complex Syst Grp Dept Phys Higher Teachers Training Coll POB 47 Yaounde Cameroon|Univ Buea Fac Sci Dept Phys POB 63 Buea Cameroon|Univ Yaounde I Inst Wood Technol POB 306 Mbalmayo Cameroon;

    Univ Yaounde I Nonlinear Phys & Complex Syst Grp Dept Phys Higher Teachers Training Coll POB 47 Yaounde Cameroon;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Parity-Time symmetry; Imaginary resistor; ZRC dimer oscillator; Optical diode; Thresholdless; Unbreakable Parity-Time symmetry;

    机译：奇偶时间对称;虚电阻;ZRC二聚体振荡器;光电二极管;无极限;牢不可破的奇偶时间对称;

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