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研究外部光注入半导体激光器的非线性物理特性,用小信号分析方法分析了激光器的动力学行为。分析了外部光注入对半导体激光器的激光非线性频率啁啾影响,给出了最大静态锁模公式,理论上指出,有外部光注入半导体激光器激光频率啁啾不再是传统意义上独立的半导体激光器线性啁啾,它和外部注入光以及激光器所处的物理状态有着非常强烈的非线性关系,并随着注入指数的增加而增强,同时,频差以及激光器光线宽增强因子也将起到一定的非线性影响作用。还给出了频差、最大锁模区域、激光分岔条件以及分岔的周期公式。详细地数值模拟了激光随外部光注入频差和注入参数变化所产生的由分岔进入混沌的动力学行为,并数值分析了周期、三周期、多周期、混沌、充分发展混沌过程以及它们的旋转涡旋吸引子、频率、频谱、波形变化,分别算出了最大李雅普诺夫(Lyapunov)指数、静态最大锁模区域和分岔周期,数值给出激光随频率差变化分岔图,逐步认清了该激光系统不稳定动力学行为以及频谱特点。
The nonlinear physical properties of external laser diode are studied. The dynamic behavior of the laser is analyzed by small signal analysis. The influence of external light injection on laser nonlinear frequency chirp is analyzed and the maximum static mode-locking formula is given. Theoretically, it is pointed out that the laser frequency chirp with external light injection is no longer an independent semiconductor laser in the traditional sense The linear chirp, which has a very strong nonlinear relationship with the external injected light and the physical state of the laser, increases with the injection index, and the frequency difference and the laser light broadening enhancement factor will also play a certain role Nonlinear effects. Also given the frequency difference, the maximum clamping area, the laser bifurcation conditions and the bifurcation of the cycle formula. The dynamics of bifurcation into chaos caused by laser frequency variation with the injection of external light and the variation of injection parameters are numerically simulated in detail. The periodic, three-period, multi-period, chaos, fully developed chaotic processes and their The results show that the maximum Lyapunov exponent, the maximum static mode-locked region and the bifurcation period are calculated respectively. The bifurcation diagram of the variation of the laser frequency with the frequency is given. The unstable kinetic behavior of the laser system and its spectral characteristics were investigated.