Nonlinear dynamics of optical fiber laser with feedback and its applications

本文首先提出了一种考虑反馈效应的掺铒光纤环形激光器（EDFL）及其基本元件光纤环形谐振器（OFRR）的新模型，并对其进行了分析。结果表明，在带反馈的EDFL和OFRR中，随着输入功率的增加，混沌状态区域变窄，非准周期状态区域变宽。此外，随着温度的降低，EDFL中容易出现复杂的动力学现象。然后，将得到的非线性动力学应用于主从混沌同步和从从混沌同步，以及消息调制型混沌保密通信。阐明了混沌同步特性和解密特性。最后，基于混沌输出的最小输入功率与温度和压力的周期关系，将OFRR混沌应用于光学传感，提出了光学混沌温度和压力传感。特别提出了一种利用OFRR非线性输出的谱比测量光纤非线性折射率的新方法。

In this research, first, a new model incorporating a feedback effect in erbium-doped fiber ring laser (EDFL) and its basic element of optical fiber ring resonator (OFRR) is proposed and is analyzed. As a result, a region of chaos state narrows, though a region off quasi-periodic state broadens as the input power increases in EDFL and OFRR with feedback. In addition, complicated dynamics in EDFL tend to appear easily with a decrease in temperature. Next, the nonlinear dynamics obtained are applied to master-slave and slave-slave chaos synchronization, and to message modulation type chaos secure communication. Here, the chaos synchronization characteristics and the decryption characteristics are clarified. Finally, the OFRR chaos is applied to optical sensing which is based on the periodic dependence of minimum input power for chaos output on temperature and pressure, and optical chaos temperature and pressure sensing is proposed. Especially, a new measurement method of nonlinear refractive index of optical fiber by using spectral ratio of nonlinear output in OFRR is proposed.