Yi Xu, Yang Qi-Fan, Yang Ki Youl, Vahala Kerry
Opt Lett. 2016 Aug 1;41(15):3419-22. doi: 10.1364/OL.41.003419.
Dissipative Kerr cavity solitons experience a so-called self-frequency shift (SFS) as a result of Raman interactions. The frequency shift has been observed in several microcavity systems. The Raman process has also been shown numerically to influence the soliton pumping efficiency. Here, a perturbed Lagrangian approach is used to derive simple analytical expressions for the SFS and the soliton efficiency. The predicted dependences of these quantities on soliton pulse width are compared with measurements in a high-Q silica microcavity. The Raman time constant in silica is also inferred. Analytical expressions for the Raman SFS and soliton efficiency greatly simplify the prediction of soliton behavior over a wide range of microcavity platforms.
由于拉曼相互作用，耗散克尔腔孤子会经历所谓的自频移（SFS）。这种频移已在多个微腔系统中被观测到。拉曼过程在数值上也已被证明会影响孤子泵浦效率。在此，采用一种微扰拉格朗日方法来推导出自频移和孤子效率的简单解析表达式。将这些量对孤子脉冲宽度的预测依赖关系与在高Q值二氧化硅微腔中的测量结果进行了比较。还推断出了二氧化硅中的拉曼时间常数。拉曼自频移和孤子效率的解析表达式极大地简化了在广泛的微腔平台范围内对孤子行为的预测。
