延迟微分方程NOLM-NALM锁模laser模型
A delay differential eqution NOLM-NALM mode-locked laser model
摘要：
建立了NOLM-NALM锁模激光器的延迟微分方程模型，该模型考虑了增益介质的有限弛豫速率和非线性镜环入口处的非对称分束。在大延迟极限下对连续波解进行的渐近线性稳定性分析表明，在B类激光器中，短波长调制不稳定性可以抑制导致倍周期级联和方波图样发展的翻转不稳定性。数值结果表明，该模型可以证明大窗口的规则的基本和谐波锁模制度与单脉冲和多个脉冲每腔往返时间不规则脉冲的域分开。
英文摘要：
Delay differential equation model of a NOLM-NALM mode-locked laser is developed that takes into account finite relaxation rate of the gain medium and asymmetric beam splitting at the entrance of the nonlinear mirror loop. Asymptotic linear stability analysis of the continuous wave solutions performed in the limit of large delay indicates that in a class-B laser flip instability leading to a period doubling cascade and development of square-wave patterns can be suppressed by a short wavelength modulational instability. Numerically it is shown that the model can demonstrate large windows of regular fundamental and harmonic mode-locked regimes with single and multiple pulses per cavity round trip time separated by domains of irregular pulsing.
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