自注入锁定微腔克尔频梳的锁定态研究

Study on locking state of Kerr microcomb with self-injection locking

当前自注入锁定频梳理论研究在不同参数对于自启动效果的影响的探究尚不完善,用于解释锁定机理的工作点理论与数值仿真的结果差异较大且无法很好地解释部分实验现象。本文利用包含微腔背散射效应的LLE (Lugiato-Lefever Equation)方程,构建了自启动克尔微梳模型,使用基于分步傅里叶算法的数值仿真并结合各参数的物理内涵,探究了模型关键参数对于频梳自启动锁定态的影响;在此基础上,针对现有自注入锁定微腔频梳锁定理论不足的问题,从模型基本公式出发,修正了工作点锁定理论,提升了对自启动数值仿真中锁定态预测的准确性,提高了理论预测与数值仿真和实验结果的契合度。

The current research on self-injection-locking frequency comb theory is incomplete in exploring the influence of different parameters on self-starting effect.The results of the operating-point locking theory used to explain the locking mechanism and numerical simulation are quite different and cannot explain some experimental phenomena well.Based on the Lugiato-Lefever Equation(LLE) taking into consideration of the backscattering effect,a self-starting Kerr microcomb model is constructed.The influence of key parameters in the model on the selfstarted locking state of the frequency comb are discussed by using the numerical simulation based on split-step Fourier method and combining the physical connotations of the parameters.Then from the basic formula of the model,the operating-point locking theory is modified to overcome the inadequacies of the self-injection locking micro-comb theory.It is demonstrated that the modified theory can improve the accuracy of the prediction of the locking state in the self-starting numerical simulation,as well as the compatibility between the theoretical prediction and the numerical simulation or experimental results.