Analysis of dark soliton generation in the microcavity with mode-interaction

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.     

光学微腔中倍频光场演化和光谱特性

在考虑光学微腔中二阶和三阶非线性效应的情况下,引入了可同时描述腔内基频和倍频光场的演化过程的Lugiato-Lefeve方程,分析了SiN微腔中二次谐波的产生,并讨论了各参数对腔内基频和倍频光场的影响.理论分析结果表明,失谐参量为0时,稳定后的基频光场为平顶脉冲的形式,而倍频光场呈正弦分布;失谐参量增加,将导致腔内基频和倍频光功率在演化过程中出现振荡,且最终稳定的光功率变弱,稳定后的光场分布为周期性变化;失谐参量的值过大,会使得微腔光场处于混沌状态.抽运光强较弱时,腔内可形成稳定的光场分布;抽运光强较强时,会导致腔内色散以及非线性效应过强,最终稳定的光场仍然呈周期性变化,且抽运光功率越强,光功率的演化曲线振荡越强.此外,选取特定的微腔尺寸,微腔可工作于"图灵环"状态.理论分析结果对研究光学微腔中二次谐波的产生有重要意义.     

基于回音壁模式微球腔的PDH稳频技术

光学微球腔因其回音壁模式可获得极高的品质因数而受到广泛关注.本文分析了Fabry-Perot腔和微球腔的基本原理,通过CO2激光熔融光纤实验制得了直径为1.2 mm的微球腔,并测试了微球腔和锥形光纤耦合结构的耦合特性.采用典型的PDH稳频系统设计了基于微球腔的稳频系统,分析了用于鉴频的误差曲线的吸收特性和色散特性,对比了不同调制频率、微球腔直径、耦合损耗、传输损耗下与误差曲线斜率的关系.结果表明:耦合状态下最大Q值可达到1.1×108,调节微球腔内横磁模和横电模的转换可优化耦合效率,匹配微球腔和锥形光纤的尺寸得到了径向二阶模式的透射谱,误差曲线效率达到15.4A mW/MHz.球腔在提高PDH稳频技术灵敏度上具有巨大潜力.