The Hamiltonian of optical fields in a nonlinear dispersive fiber is studied. Quantum field fluctuations are spontaneously created close to an optical event horizon through the analog Hawking effect. The simplest model is considered for an optical black‐hole laser, where the Hawking radiation is produced and amplified inside a cavity formed by two horizons: a black hole and a white hole. It is found that resonant Hawking radiation originates from a discrete set of instabilities and tunnels out of the horizons. Finally, the numerical results are compared with the resonance and instability conditions and a phenomenological model is developed to give a clear physical picture.

中文翻译：

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光学黑洞激光器的不稳定性

研究了非线性色散光纤中的光场哈密顿量。通过模拟霍金效应，在光事件地平线附近自然产生量子场波动。对于光学黑洞激光器，可以考虑使用最简单的模型，其中霍金辐射在由两个视界形成的空腔（黑洞和白洞）中产生并放大。发现共振霍金辐射源于一组离散的不稳定性，并从地平线向外传播。最后，将数值结果与共振和不稳定性条件进行了比较，并建立了现象学模型以提供清晰的物理图像。