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 laser (EDFL) is divided into multi- longitudinal mode (MLM) laser and singlelongitudinal mode (SLM) laser according to the frequency domain. The multi-longitudinal mode laser is hard to understand in the field of optical complex systems. Actually, fiber lasers belong to a type of optical complex system with large degree of freedom, hundreds and thousands of longitudinal modes can typically coexist, exhibiting such nonlinear mode dynamics as complex mode hopping and high-dimensional chaos. However, most of the theoretical models and experimental tools for analyzing fiber lasers dynamics only focus on the collective behavior of dense longitudinal modes, omitting the dynamics individual modes, frequency-domain dynamic model for multi-mode fiber lasers is established, in which the quenching effect in ion pairs and the cross coupling mechanism among modes are considered. The multi-mode laser models can effectively describe the individual behavior and clustering behavior of a large number of modes, and reproduce theoretically the multi-mode dynamics of high-dimensional dynamical system in frequency domain.