VCSEL激光器特性仿真的数学建模
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摘要
VCSEL激光器特性仿真的数学建模对光领域的发展具有重要意义。传统方法主要对VCSEL激光器的结构进行分析,忽略了特性,存在仿真数学建模准确性差的问题,为此提出了基于VCSEL激光器特性仿真的数学建模方法。利用注入速率和复合速率构建激光器有源区载子流的速率方程,得到载子流比率,根据激光器的自发和非辐射复合速率等条件对VCSEL激光器的复合速率进行分析,描述激光器光子自然衰减的过程,利用光增益系数计算激光器光子浓度的速率方程,将两个方程相结合可以得到VCSEL激光器的速率方程,然后对VCSEL激光器的阈值条件进行分析,利用VCSEL激光器的外部驱动电流对其光功率进行分析,并根据温度计算激光器热偏置电流的变化函数,得到VCSEL激光器的瞬时功率,分析激光器的信号响应,最终实现VCSEL激光器特性仿真的数学建模。实验结果表明,本文方法得到的激光器光束质量较好、所输出的光功率较大,并且激光器建模的准确性较好。
The mathematical modeling of VCSEL laser characteristic simulation is of great significance to the development of the optical field. The traditional method mainly analyzes the structure of the VCSEL laser,neglecting the characteristics of VCSEL lasers. There is a problem that the accuracy of simulation mathematical modeling is poor. Regarding the issue above,a mathematical modeling method for VCSEL laser characteristic simulation based on optical communication method is proposed. Using the electron injection rate and recombination rate to calculate the rate equation of the carrier region of the laser active region,the carrier flow ratio is obtained,and the recombination rate of the VCSEL laser is analyzed according to the conditions of the spontaneous and non-radiative recombination rate of the laser,and the laser photon is described. The process of natural attenuation,using the optical gain coefficient to calculate the rate equation of the laser photon concentration,the two equations can be combined to obtain the rate equation of the VCSEL laser. The threshold conditions of the VCSEL laser are analyzed. Based on this,the external driving current of the VCSEL laser is used to analyze its optical power,and the variation function of the laser thermal bias current is calculated according to the temperature to obtain the instantaneous power of the VCSEL laser. The signal response of the laser ultimately results in mathematical modeling of the VCSEL laser characteristic simulation. The experimental results show that the proposed laser beam quality is better,the output optical power is larger,and the laser modeling accuracy is better.
The mathematical modeling of VCSEL laser characteristic simulation is of great significance to the development of the optical field. The traditional method mainly analyzes the structure of the VCSEL laser,neglecting the characteristics of VCSEL lasers. There is a problem that the accuracy of simulation mathematical modeling is poor. Regarding the issue above,a mathematical modeling method for VCSEL laser characteristic simulation based on optical communication method is proposed. Using the electron injection rate and recombination rate to calculate the rate equation of the carrier region of the laser active region,the carrier flow ratio is obtained,and the recombination rate of the VCSEL laser is analyzed according to the conditions of the spontaneous and non-radiative recombination rate of the laser,and the laser photon is described. The process of natural attenuation,using the optical gain coefficient to calculate the rate equation of the laser photon concentration,the two equations can be combined to obtain the rate equation of the VCSEL laser. The threshold conditions of the VCSEL laser are analyzed. Based on this,the external driving current of the VCSEL laser is used to analyze its optical power,and the variation function of the laser thermal bias current is calculated according to the temperature to obtain the instantaneous power of the VCSEL laser. The signal response of the laser ultimately results in mathematical modeling of the VCSEL laser characteristic simulation. The experimental results show that the proposed laser beam quality is better,the output optical power is larger,and the laser modeling accuracy is better.
引文
[1]杨克成,刘舒书,杨爱武.大功率激光器驱动电源的闭环控制与补偿[J].激光与红外,2016,46(1):85-91.
[2]魏学朝,沈洁,揭银先,等.连续辉光放电波导型远红外氘化氰激光器输出性能优化[J].核聚变与等离子体物理,2016,36(2):126-130.
[3]王竹刚,熊蔚明,屈晨阳,等.量子科学实验卫星射频信道物理层设计[J].空间科学学报,2017,37(4):490-498.
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[6]何洋,邓涛,邱海英,等.光电反馈下光注入VCSELs的动力学特性[J].光子学报,2016,45(1):114002-0114002.
[7]高世杰,张星,张建伟,等. 980nm高峰值功率微型化VCSEL脉冲激光光源[J].红外与毫米波学报,2016,35(5):578-583.
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[9]蔡丽娥,张保平,张江勇,等. Ga N基蓝光VCSEL的制备及光学特性[J].发光学报,2016,37(4):452-456.
[10]黄人帅,郭晓阳,孟庆龙,等.光泵THz激光器输出频率稳定特性研究[J].光谱学与光谱分析,2016,36(9):2755-2759.
[11]霍佳雨,郭玉彬,王珂.被动锁模掺镱光纤激光器中耗散孤子特性[J].北京邮电大学学报,2016,39(2):30-34.
[12]宋冬生,郭亮,郭冰涛,等.超连续谱激光干扰多色CCD探测器建模仿真研究[J].应用光学,2017,38(6):1018-1024.
[13]余光其,杨子宁,王红岩,等.半导体泵浦亚稳态惰性气体激光器理论建模与性能分析[J].强激光与粒子束,2015,27(6):91-95.
[14]袁鑫荣,左都罗,王新兵.脉冲气体激光器磁压缩放电电路的仿真[J].激光技术,2016,40(2):199-204.
[15]全伟,李光慧,陈熙,等.一体化半导体激光器的ANSYS热仿真及结构设计[J].光学精密工程,2016,24(5):1080-1086.
[16]聂睿,张雷洪,严永鹏,等.多谱线He-Ne激光器中棱镜组件的热变形研究[J].光学技术,2017,43(4):329-333.
[17]周宇,张国平,徐洪波,等.激光测距发射电路的设计[J].电子设计工程,2017,25(3):145-148.
[18]赵青,黄小平,林恩,等.纳米等离子体激光器研究进展[J].光电工程,2017,44(2):140-151.
[2]魏学朝,沈洁,揭银先,等.连续辉光放电波导型远红外氘化氰激光器输出性能优化[J].核聚变与等离子体物理,2016,36(2):126-130.
[3]王竹刚,熊蔚明,屈晨阳,等.量子科学实验卫星射频信道物理层设计[J].空间科学学报,2017,37(4):490-498.
[4]张岩,王彦照,宁吉丰,等. 795nm单模垂直腔面发射激光器[J].半导体技术,2017,42(1):17-22.
[5]苏斌斌,陈建军,吴正茂,等.混沌光注入垂直腔面发射激光器混沌输出的时延和带宽特性[J].物理学报,2017,66(24):76-83.
[6]何洋,邓涛,邱海英,等.光电反馈下光注入VCSELs的动力学特性[J].光子学报,2016,45(1):114002-0114002.
[7]高世杰,张星,张建伟,等. 980nm高峰值功率微型化VCSEL脉冲激光光源[J].红外与毫米波学报,2016,35(5):578-583.
[8]蒋国庆,徐晨,解意洋,等.质子注入型光子晶体垂直腔面发射激光器制备[J].红外与激光工程,2016,001(12):32-36.
[9]蔡丽娥,张保平,张江勇,等. Ga N基蓝光VCSEL的制备及光学特性[J].发光学报,2016,37(4):452-456.
[10]黄人帅,郭晓阳,孟庆龙,等.光泵THz激光器输出频率稳定特性研究[J].光谱学与光谱分析,2016,36(9):2755-2759.
[11]霍佳雨,郭玉彬,王珂.被动锁模掺镱光纤激光器中耗散孤子特性[J].北京邮电大学学报,2016,39(2):30-34.
[12]宋冬生,郭亮,郭冰涛,等.超连续谱激光干扰多色CCD探测器建模仿真研究[J].应用光学,2017,38(6):1018-1024.
[13]余光其,杨子宁,王红岩,等.半导体泵浦亚稳态惰性气体激光器理论建模与性能分析[J].强激光与粒子束,2015,27(6):91-95.
[14]袁鑫荣,左都罗,王新兵.脉冲气体激光器磁压缩放电电路的仿真[J].激光技术,2016,40(2):199-204.
[15]全伟,李光慧,陈熙,等.一体化半导体激光器的ANSYS热仿真及结构设计[J].光学精密工程,2016,24(5):1080-1086.
[16]聂睿,张雷洪,严永鹏,等.多谱线He-Ne激光器中棱镜组件的热变形研究[J].光学技术,2017,43(4):329-333.
[17]周宇,张国平,徐洪波,等.激光测距发射电路的设计[J].电子设计工程,2017,25(3):145-148.
[18]赵青,黄小平,林恩,等.纳米等离子体激光器研究进展[J].光电工程,2017,44(2):140-151.