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掺铒光纤激光器(EDFL)从频域的角度可以分为单纵模(SLM)掺铒光纤激光器与多纵模(MLM)掺铒光纤激光器。MLM-EDFL属于复杂的高维动力学系统,比SLM-EDFL拥有更多的自由度与更复杂的激光动力学特性。为理论研究分析MLM-EDFL的频域动态特性,建立了关于EDFL多模激光频域动力学模型,模型中将MLM-EDFL的各个模式光场强度及其享有的增益粒子数分别作为独立的物理参量来处理,并考虑由于增益介质中铒离子对的猝灭效应而对模型引入额外的自由度;所建多模激光频域动力学模型可有效描述频域内多个模式的个体行为及集群行为,在数值研究中重现了激光频域高维动力系统所特有的多模动态特性。
Erbium-doped fiber lasers (EDFLs) can be divided into single longitudinal mode (SLM) erbium-doped fiber lasers and multi-longitudinal mode (MLM) erbium-doped fiber lasers in the frequency domain. MLM-EDFL is a complex, high-dimensional dynamic system with more degrees of freedom and more complex laser dynamics than the SLM-EDFL. In order to analyze the frequency domain dynamic characteristics of MLM-EDFL theoretically, the frequency domain dynamic model of EDFL multi-mode laser is established. In the model, each mode field intensity of MLM-EDFL and its gain particle number are taken as independent physical Parameters and to deal with the extra degree of freedom introduced into the model due to the quenching effect of the erbium ion pairs in the gain medium. The multi-mode laser frequency-domain dynamics model can effectively describe the individual behavior and cluster behavior of multiple modes in the frequency domain In the numerical study, the multi-mode dynamic characteristic peculiar to the high frequency dynamic system in laser frequency domain was reproduced.