1550nm垂直腔面发射激光器自旋反转模型中关键参量数值的实验确定

自旋反转模型是目前用于分析垂直腔面发射激光器(VCSELs)非线性动力学特性最常用的理论模型,因此该模型中相关参量的取值至关重要.本文基于对自由运行和平行光注入时1550 nm垂直腔面发射激光器(1550 nm-VCSELs)输出特性的实验测量结果,对描述1550 nm-VCSELs特性的SFM中光场衰减速率k、总载流子衰减速率γN、线宽增强因子α,有源介质双折射速率γp、自旋反转速率γs、有源介质线性色散速率γa等关键参量进行了估值.在此基础上,利用所测得的这些关键参量的数值,仿真了1550 nm-VCSELs的相关输出特性,所得结果与实验结果符合.

Experimental determination of key parameters in the spin-flip model of 1550 nm vertical-cavity surface-emitting laser

Spin-flip model (SFM) is a mostly used approach to analyzing the nonlinear dynamics of vertical-cavity surface-emitting laser (VCSEL), and therefore the value selections of some key parameters in this model are crucial. In this work, based on experimentally measured dynamical characteristics of a 1550 nm vertical-cavity surface-emitting laser (1550 nm-VCSEL) under free running and parallel optical injection, some key parameters (field decay rate k, total carrier decay rate γ_N, linewidth enhancement factor α, active medium birefringence rate γ_p, spin relaxation rate γ_s, and active medium linear dispersion rate γ_a) are estimated. Through experimentally measuring the noise spectrum of the laser, the relaxation oscillation frequency and the damping rate of the relaxation oscillations are calculated, and the photon lifetime can be preliminary estimated. After further amending the photon lifetime by considering the effect of the gain saturation on the damping rate of the relaxation oscillations, the value of k is determined. Based on the function relation between the laser relaxation oscillation frequency and the electrical pumping, the value of γ_N is obtained. By experimentally acquiring the dynamical distribution mapping of the laser under parallel optical injection, the minimum Hopf bifurcation point of the Hopf bifurcation curve can be found, and then the value of α is roughly estimated. According to the frequency difference between the two polarization components of the laser in the measured optical spectrum, the value of γ_p can be calculated. The value of γ_s is obtained by using the relationship between γ_s and γ_p. On the basis of the above determined parameter values, the value of γ_a can be specified by numerically simulating the optical spectrum of the laser and comparing with experimentally obtained results. Moreover, by comparing the experimentally measured dynamical mapping of optical injection VCSEL with corresponding dynamical mapping simulated on the basis of the above mentioned parameters, the value of α is rectified. Finally, further simulated results agree with relevant experimental observations.