具有复耦合的耗散光学三聚体中的非线性动力学与混沌
Nonlinear dynamics and chaos in dissipative optical trimers with complex couplings
AI总结：
该研究聚焦非厄米光子学中的复耦合耗散光学三聚体，分析其定态、振荡态及经倍周期分岔产生的混沌动力学，揭示了非线性与非厄米性相互作用的新视角。
摘要：
在非厄米光子学背景下，我们研究了由三根损耗波导构成、具有复耦合的非线性光学三聚体。该非厄米三聚体在较宽的耦合-损耗参数取值范围内，呈现出稳定的定态与振荡态。此外，通过李雅普诺夫指数测量，证实了系统经倍周期分岔产生混沌动力学，并通过解的半解析延拓得到了其底层分岔结构。Kerr非线性引发的混沌，与耗散和复耦合共同导致的非厄米性之间的相互作用，为非线性与非厄米光学领域提供了新视角。
英文摘要：
In the context of non-Hermitian photonics, we consider a nonlinear optical trimer with three lossy waveguides with complex couplings. This non-Hermitian trimer exhibits stable stationary and oscillatory regimes in a wide range of values of the coupling-loss parameters. Moreover, chaotic dynamics through period-doubling is confirmed via Lyapunov exponent measurements and the underlying bifurcation structure is found by semi-analytical continuation of solutions. The interplay of chaos, due to Kerr nonlinearity, and non-Hermiticity, due to the combined dissipation and complex coupling, provides a different perspective in the area of nonlinear and non-Hermitian optics.
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