相位共轭反馈下垂直腔面发射激光器动态分岔特性的理论研究

在传统半导体激光器动力学方程的基础上，突出了垂直腔面发射激光器(VCSELs)的微腔结构特点以及相位共轭反馈(PCF)的时间反演特性，建立起相位共轭反馈条件下的复合腔仿真模型。仿真结果表明：在外部反射率小于0．05的弱反馈条件下，垂直腔面发射激光器的微腔结构导致了它的动态特性与边发射器件有较大的区别，给出两者在混沌带的出现次数、存在范围以及分岔点的出现条件等方面的比较。相对于常规光反馈(COF)而言，相位共轭反馈的累积相位为零，这使得该机制下垂直腔面发射激光器表现出更为丰富的非线性特性。仿真中观察到常规光反馈经历了三个混沌带，相位共轭反馈经历了两个混沌带且稳定区域较宽；并发现在混沌吸引子产生的过程中常规光反馈光场的实虚部相空间轨迹保持对称，而相位共轭反馈的相空间轨迹则表现为对称的‘建立→破坏→再建立’这样的循环过程。

Theoretical Analysis on Dynamics and Bifurcations Characteristics of VCSELs with Phase Conjugate Optical Feedback

The micro-cavity characteristics of vertical-cavity surface-emitting lasers (VCSELs) and the time inversion characteristics of phase conjugate feedback (PCF) are considered, the compound cavity model with PCF is set up based on the typical dynamical equation of semiconductor lasers. When the feedback index is below 0.05, the dynamics of VCSELs and side emitters are different due to their cavity size. The number of chaotic bands and their range for the two types are discussed in this paper. The phase change cumulated for PCF is zero, so the nonlinearity for VCSELs under this feedback mechanism is more complex. Three chaotic bands can be seen for common optical feedback (COF) mechanism; while only two chaotic bands can be seen for PCF and the steady state regions are larger than those of COF. A phenomenal is found that in the creation process of the chaos attractor, the phase diagram for optical field with COF is symmetric, but it is a symmetry-founding process in the case of PCF.