We theoretically study the nature of parametrically driven dissipative Kerr soliton (PD-DKS) in a doubly resonant degenerate micro-optical parametric oscillator (DR-DμOPO) with the cooperation of χ (2) and χ (3) nonlinearities. Lifting the assumption of close-to-zero group velocity mismatch (GVM) that requires extensive dispersion engineering, we show that there is a threshold GVM above which single PD-DKS in DR-DμOPO can be generated deterministically. We find that the exact PD-DKS generation dynamics can be divided into two distinctive regimes depending on the phase matching condition. In both regimes, the perturbative effective third-order nonlinearity resulting from the cascaded quadratic process is responsible for the soliton annihilation and the deterministic single PD-DKS generation. We also develop the experimental design guidelines for accessing such deterministic single PD-DKS state. The working principle can be applied to different material platforms as a competitive ultrashort pulse and broadband frequency comb source architecture at the mid-infrared spectral range.

中文翻译：

---

确定性生成参数驱动的耗散克尔孤子

我们从理论上研究了双谐振简并微光学参量振荡器（DR-DμOPO）中参数驱动的耗散Kerr孤子（PD-DKS）的性质，并具有χ（2）和χ（3）非线性特性。取消了需要进行大量色散工程的接近零的组速度失配（GVM）的假设，我们表明存在一个阈值GVM，高于该阈值可以确定性地生成DR-DμOPO中的单个PD-DKS。我们发现，确切的PD-DKS生成动力学可以根据相位匹配条件分为两个不同的机制。在这两种情况下，级联二次过程产生的扰动有效三阶非线性是孤子ni没和确定性单一PD-DKS产生的原因。我们还开发了用于访问这种确定性单个PD-DKS状态的实验设计指南。该工作原理可以作为具有竞争性的超短脉冲和中频光谱范围内的宽带频率梳状源架构应用于不同的材料平台。