克尔微腔光频梳理论分析模型及多波长光源应用探讨

Theoretical Modeling of Kerr Resonators Based Optical Frequency Combs and Their Potential Applications as Multi-Wavelength Sources

基于高品质因子微谐振腔的参量四波混频实现光学频率梳是一种新的频率梳实现方法,拓展了传统固体及非线性光纤飞秒激光器等光频梳的应用范围,在精密频率标定、天文光谱校准、任意波形产生、光学存储和孤子传输、片上通信用光源等方面具有较高的优势。本文简要总结、评述了几种主要的光频梳动力学分析模型及数值方法,以及这些不同方法的内在联系。基于描述光频梳动态行为的非线性Lugiato-Lefever方程分析了可能存在的动力学过程,并据此对不同特点光频梳进行了分类。通过设计反馈结构理论上研究了正常色散微腔和反常色散微腔的光梳特点,探讨了作为片上光互连用多波长光源应满足的条件及可能的实现途径。

A new optical frequency comb generation method has emerged using parameter four wave mixing in high quality factor Kerr micro- resonators. Due to the unique characteristics, it has broadened the application fields of the traditional solid state or nonlinear fiber femto-second laser based optical frequency combs, such as precise frequency calibration, precision spectroscopy, astronomy, waveform generation, optical storage and soliton transmission, telecommunication source and so on. In this paper, some principal theoretical modeling methods for Kerr micro- resonators based optical frequency combs are summarized and their inherent relationship is reviewed, then based on the nonlinear Lugiato- Lefever equation（LLE）, a new stability analysis method is given to determine the modulation instability areas in both normal and anomalous dispersion resonators and hereby the different combs are classified. Finally the possibility of Kerr resonator with controllable feedback as an integrated multi- wavelength source is discussed and several different probably achieving methods and conditions are demonstrated.