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建立了一个由量子噪声和非线性色抽运噪声共同驱动下的单模激光立方模型,并将其在极坐标下分解为场幅和相位的朗之万方程(LE)。采用近似福克-普朗克方程的方法处理相位朗之万方程中的色噪声,使其马尔科夫化。将马尔科夫化后的相位朗之万方程与锁相条件相结合,得到稳定锁相值。详细讨论了量子噪声实虚部间的关联和抽运噪声实虚部间的关联对激光锁相的影响。结果表明激光锁相由量子噪声实虚部之间的关联引起,而抽运噪声实虚部间的关联和量子噪声实虚部间的关联均可改变这一锁相。
A single-mode laser cube model driven by both quantum noise and non-linear color-pumping noise is established and decomposed into polar coordinates (LE) of field and phase in polar coordinates. The method of approximating Fokker-Planck equation is used to deal with the color noises in the phase Longman equation so that its Markovization. Combining Markovian Phase Longthwaite equation with phase-locked condition, a stable phase-locked value is obtained. The effects of the correlation between the real parts of the quantum noise and the real parts of the pumping noise on the laser phase locking are discussed in detail. The results show that the laser phase lock is caused by the correlation between the real parts of the quantum noise, and the correlation between the real parts of the pump noise and the real parts of the quantum noise can change this phase.