中国激光, 2004, 31 (12): 1450, 网络出版: 2006-06-12
多次外光反馈下垂直腔面发射激光器非线性动态特性理论研究
Theoretical Study on Nonlinear Dynamics of Vertical-Cavity Surface-Emitting Laser with Multiple External Optical Feedbacks
激光技术 垂直腔面发射激光器 非线性动态特性 混沌 外光反馈 laser technique VCSEL nonlinear dynamics chaos external optical feedback
摘要
在SIMULINK平台下建立了垂直腔面发射激光器(VCSEL)动态仿真模型,利用该模型对多次外光反馈下垂直腔面发射激光器的非线性行为进行了研究。结果表明,短外腔时,光子密度随外腔长呈周期为半激射波长的余弦关系;长外腔时,随外腔长增加,垂直腔面发射激光器依次经历混沌、多周期、倍周期和单周期区域,增大外腔反射率时同样存在这些非线性区域,但出现顺序相反。进一步得出
Abstract
The model of the vertical-cavity surface-emitting laser (VCSEL) is established using SIMULINK and the nonlinear behaviors of VCSEL with multiple external optical feedbacks are studied using this model. For short external cavities, the photon density shows periodic cosine undulation along the external cavity length whose period is equal to half of the lasing wavelength; for relatively long external cavities, VCSEL undergoes the regions of chaos, multiple, double and single period orderly with increasing the length of the external cavity, however, these regions emerge contrarily with increasing the external cavity′s reflectivity. If only the first feedback is taken into account, the nonlinearity is weaker than the multiple feedbacks case due to neglecting the high-order feedbacks that own a lot of energy. It is also shown that the nonlinear behaviors can be constrained by increasing the spontaneous emission factor or decreasing the linewidth broadening factor.
李孝峰, 潘炜, 罗斌, 邓果, 赵峥. 多次外光反馈下垂直腔面发射激光器非线性动态特性理论研究[J]. 中国激光, 2004, 31(12): 1450. 李孝峰, 潘炜, 罗斌, 邓果, 赵峥. Theoretical Study on Nonlinear Dynamics of Vertical-Cavity Surface-Emitting Laser with Multiple External Optical Feedbacks[J]. Chinese Journal of Lasers, 2004, 31(12): 1450.