We consider theoretically the power spectral density ${S_E}(\nu)$ of an otherwise periodic optical pulse train with optical field $E(t)$, i.e., the optical frequency comb, in the presence of noise in the pulse-to-pulse carrier-envelope phase slip in carrier-envelope-stabilized optical pulse trains. The spectrum is a frequency comb where the comb line shape is Gaussian. To obtain these results, we implement a heuristic theory based on an Adler equation for the carrier-envelope frequency noise that for weak noise leads to fluctuation statistics described by an Ornstein–Uhlenbeck process.

中文翻译：

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载波包络稳定的光频率梳：波动对梳线形状的影响

从理论上讲，我们考虑了在存在脉冲噪声的情况下，具有光场$ E（t）$的周期光脉冲串的功率谱密度$ {S_E}（\ nu）$，即光频率梳载流子包络稳定的光脉冲序列中的脉冲载流子包络相位滑移。频谱是频率梳，梳线形状为高斯。为了获得这些结果，我们对载波-包络频率噪声实施了基于Adler方程的启发式理论，对于弱噪声会导致由Ornstein–Uhlenbeck过程描述的波动统计。