Wang Xiao, Feng Lishuang, Xu Jun, Ni Peiren
Appl Opt. 2020 Feb 10;59(5):1347-1352. doi: 10.1364/AO.379557.
We present here a general method for evaluating the steady-state frequency-tracking distortion in the digital Pound-Drever-Hall technique with modulation harmonic distortion. The theoretical tracking distortion model is established based on the multi-beam interference theory. The effects of the additional harmonic phase shift and the relative distortion ratio changes in the model are simulated by the Runge-Kutta method. Moreover, we demonstrate the steady-state frequency-tracking distortion caused by the modulation harmonic distortion in a resonant frequency tracking system with a 35 mm waveguide ring resonator. According to the measured and simulated results, we obtain the optimal modulation frequency and depth with minimal frequency-tracking distortion, which are 11.49 MHz and 3.96, respectively.
我们在此介绍一种用于评估具有调制谐波失真的数字庞德-德弗-霍尔技术中稳态频率跟踪失真的通用方法。基于多光束干涉理论建立了理论跟踪失真模型。通过龙格-库塔方法模拟了模型中附加谐波相移和相对失真率变化的影响。此外，我们在一个采用35毫米波导环形谐振器的谐振频率跟踪系统中展示了由调制谐波失真引起的稳态频率跟踪失真。根据测量和模拟结果，我们获得了频率跟踪失真最小的最佳调制频率和深度，分别为11.49兆赫和3.96。
