关键词: 1550 nm垂直腔面发射激光器/
平行光注入/
自旋反转模型
English Abstract
Experimental determination of key parameters in the spin-flip model of 1550 nm vertical-cavity surface-emitting laser
Yang Ji-Yun,Wu Zheng-Mao,
Liang Qing,
Chen Jian-Jun,
Zhong Zhu-Qiang,
Xia Guang-Qiong
1.School of Physical Science and Technology, Southwest University, Chongqing 400715, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant Nos. 61275116, 61475127, 61575163) and the Postgraduate Research and Innovation Project of Chongqing Municipality, China (Grant No. CYB14054).Received Date:28 January 2016
Accepted Date:26 February 2016
Published Online:05 June 2016
Abstract: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 N, linewidth enhancement factor , active medium birefringence rate p, spin relaxation rate s, and active medium linear dispersion rate 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 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 is roughly estimated. According to the frequency difference between the two polarization components of the laser in the measured optical spectrum, the value of p can be calculated. The value of s is obtained by using the relationship between s and p. On the basis of the above determined parameter values, the value of 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 is rectified. Finally, further simulated results agree with relevant experimental observations.
Keywords: 1550 nm vertical-cavity surface-emitting lasers (1550 nm-VCSEL)/
parallel optical injection/
spin-flip model
