AI 中文总结
研究光电振荡器中模式选择PT对称性，开发更通用公式允许耦合算子色散，推导两种实现方式，经数值模拟验证，建立了PT对称性、交叉注入架构和游标振荡器设计间的联系，实现频率选择性转变及边模抑制。
AI 中文摘要
模式选择PT对称性是具有不等延迟的振荡器之间游标辅助交叉注入的体现。PT对称性被提议作为实现光电振荡器低噪声单模运行的机制，但现有公式通常基于匹配延迟环路和频率无关耦合，导致频率上全局的对称性转变，并非本质上的模式选择。本文开发了一种更通用的PT对称时间延迟振荡器公式，其中耦合算子允许色散。这允许频率选择性PT对称性转变并消除了对匹配延迟环路的要求。推导了两种数学等效但物理不同的实现。第一种对应于由色散耦合器连接的耦合增益-损耗环路，第二种对应于通过具有不等延迟的对称交叉注入耦合的一对等增益振荡器。数值模拟证实了预测行为，并在保持大延迟振荡器低相位噪声特性的同时展示了强大的边模抑制。结果建立了PT对称性、交叉注入架构和游标振荡器设计之间的直接联系。
英文摘要
Mode-selective PT-symmetry is the manifestation of Vernier-assisted cross-injection between oscillators with unequal delays. PT-symmetry has been proposed as a mechanism for achieving low-noise single-mode operation in optoelectronic oscillators, but existing formulations are typically based on matched delay loops and frequency-independent coupling, leading to symmetry transitions that are global in frequency and therefore not intrinsically mode selective. A more general formulation of PT-symmetric time-delay oscillators is developed in which the coupling operator is allowed to be dispersive. This permits frequency-selective PT-symmetry transitions and removes the requirement for matched delay loops. Two mathematically equivalent but physically distinct realisations are derived. The first corresponds to coupled gain-loss loops connected by a dispersive coupler, while the second corresponds to a pair of equal-gain oscillators coupled through symmetric cross-injection with unequal delays. Numerical simulations confirm the predicted behaviour and demonstrate strong sidemode suppression while preserving the low phase-noise characteristics of large-delay oscillators. The results establish a direct connection between PT-symmetry, cross-injection architectures, and Vernier oscillator design.
Comments19 pages, 9 figures
