Mode-interaction plays an important role in the dark soliton generation in the microcavity. It is beneficial to the excitation of dark solitons, but also facilitates a variety of dark soliton states. Based on the non-normalized Lugiato–Lefever equation, the evolution of dark soliton in the microcavity with mode-interaction is investigated. By means of mode-interaction, the initial continuous wave (CW) field evolves into a dark soliton gradually, and the spectrum expands from a single mode to a broadband comb. After changing the mode-interaction parameters, the original modes which result in dual circular dark solitons inside the microcavity, are separated from the resonant mode by 2 free spectral ranges (FSR). When the initial field is another feasible pattern of weak white Gaussian noise, the large frequency detuning leads to the amplification of the optical power in the microcavity, and the mode-interaction becomes stronger. Then, multiple dark solitons, which correspond to the spectra with multi-FSR, can be excited by selecting appropriate mode-interaction parameters. In addition, by turning the mode-interaction parameters, the dark soliton number can be regulated, and the comb tooth interval in the spectrum also changes accordingly. Theoretical analysis results are significant for studying the dark soliton in the microcavity with mode-interaction.

模式相互作用在微腔中暗孤子的产生中起着重要作用。有利于暗孤子的激发，也有利于各种暗孤子态的产生。基于非归一化的 Lugiato-Lefever 方程，研究了暗孤子在微腔中的演化与模式相互作用。通过模式相互作用，初始连续波（CW）场逐渐演变为暗孤子，光谱从单一模式扩展到宽带梳状。改变模式相互作用参数后，在微腔内产生双圆形暗孤子的原始模式与谐振模式分开 2 个自由光谱范围 (FSR)。当初始场是弱高斯白噪声的另一种可行模式时，大的频率失谐导致微腔中的光功率放大，模式相互作用变得更强。然后，可以通过选择适当的模式相互作用参数来激发对应于具有多 FSR 的光谱的多个暗孤子。此外，通过调节模式相互作用参数，可以调节暗孤子数，光谱中的梳齿间隔也相应改变。理论分析结果对于研究具有模式相互作用的微腔中的暗孤子具有重要意义。暗孤子数可以调节，光谱中的梳齿间隔也随之变化。理论分析结果对于研究具有模式相互作用的微腔中的暗孤子具有重要意义。暗孤子数可以调节，光谱中的梳齿间隔也随之变化。理论分析结果对于研究具有模式相互作用的微腔中的暗孤子具有重要意义。