We analyze the consequences of dissipative heating in driven Kerr microresonators theoretically and numerically, using a thermal Lugiato-Lefever model. We show that thermal sensitivity modifies the stability range of continuous waves in a way that blocks direct access to broadband frequency-comb-forming waveforms, and we propose a deterministic access path that bypasses the thermal instability barrier. We describe a thermal instability that leads to thermo-optical oscillations via a Hopf bifurcation.

中文翻译：

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Kerr微谐振器中的热不稳定性，频率梳形成和时间振荡

我们使用热Lugiato-Lefever模型从理论上和数值上分析了驱动的Kerr微谐振器中的耗散热量的结果。我们表明，热灵敏度以阻止直接访问宽带形成频率梳的波形的方式修改了连续波的稳定范围，并且我们提出了一种确定性的访问路径，绕过了热不稳定障碍。我们描述了一种热不稳定性，该热不稳定性会通过Hopf分叉导致热光振荡。