Dissipative Kerr solitons offer broadband coherent and low-noise frequency combs and stable temporal pulse trains, having shown great potential applications in spectroscopy, communications, and metrology. Breathing solitons are a particular kind of dissipative Kerr soliton in which the pulse duration and peak intensity show periodic oscillation. Here we have investigated the breathing dissipative Kerr solitons in silicon nitride (${\mathrm{Si}}_3{\mathrm{N}}_4$) microrings, while the breathing period shows uncertainties of around megahertz (MHz) order in both simulation and experiments. This instability is the main obstacle for future applications. By applying a modulated signal to the pump laser, the breathing frequency can be injection locked to the modulation frequency and tuned over tens of MHz with frequency noise significantly suppressed. Our demonstration offers an alternative knob for the control of soliton dynamics in microresonators and paves a new avenue towards practical applications of breathing solitons.

中文翻译：

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Si ₃ N ₄微谐振器中的频率稳定和呼吸孤子的调谐

耗散的Kerr孤子提供宽带相干和低噪声频率梳以及稳定的时间脉冲序列，在光谱学，通信和计量学中显示出巨大的潜在应用。呼吸孤子是一种特殊的耗散克尔孤子，其中脉冲持续时间和峰值强度显示出周期性振荡。在这里，我们研究了氮化硅中具有耗散呼吸作用的Kerr孤子（${硅}_3{\mathrm{ñ}}_4$微环，而呼吸周期在仿真和实验中均显示出约兆赫兹（MHz）级的不确定性。这种不稳定性是未来应用的主要障碍。通过将调制信号施加到泵浦激光器，可以将呼吸频率注入锁定在调制频率上，并在数十MHz的频率范围内进行调谐，同时显着抑制了频率噪声。我们的演示为控制微谐振器中的孤子动力学提供了另一种旋钮，并为呼吸孤子的实际应用开辟了一条新途径。