相位调制对注入 Kerr 微腔中时间局域结构动力学的影响
Impact of phase modulation on the dynamics of temporal localized structures in injected Kerr microcavities
AI总结：
研究相位调制如何影响 Kerr 微腔中时间局域结构的动力学，通过多参数分支分析揭示弱非线性和耗散 Hermite-Gauss 模式对暗 TLS 动力学的影响，展示 TLS 在腔内不同平衡位置的存在。
摘要：
我们理论研究了相位调制如何改变垂直发射 Kerr 微腔中时间局域结构（TLSs）在非共振光学注入正常色散 regime 中的动力学。我们表明 TLSs 的出现一般由施加的调制与内在脉冲动力学之间的同步决定。我们对均匀场极限下的底层延迟-代数方程模型进行了多参数分支分析，并展示弱非线性和耗散 Hermite-Gauss 模式塑造暗 TLSs 的动力学，导致复杂的混合分支结构。在均匀场极限之外，亮和暗调制 TLSs 被证明存在并占据腔内的不同平衡位置。推导了 TLS 位置的有效运动方程，显示与完整模型有良好的一致。
英文摘要：
We theoretically investigate how phase modulation alters the dynamics of temporal localized structures (TLSs) in vertically emitting Kerr micro-cavities under detuned optical injection operating in the normal dispersion regime. We show that the emergence of TLSs in general is governed by a synchronization between the imposed modulation and the intrinsic pulse dynamics. We perform a multi-parameter bifurcation analysis of the underlying delay-algebraic equation model in the uniform field limit and demonstrate that weakly nonlinear and dissipative Hermite-Gauss modes shape the dynamics of dark TLSs, leading to a complex hybrid bifurcation structure. Beyond the uniform field limit, both bright and dark modulated TLSs are shown to exist and to occupy distinct equilibrium positions within the cavity. An effective equation of motion for the TLS positions is derived, showing a good agreement with the full model.
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