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本文建立了一种速率方程模型，以铯蒸气为例描述了半导体抽运碱金属蒸气激光器的阈值特性. 经数值求解该模型，定量分析了抽运光束腰位置和半径、蒸气池长度、运行温度等参量对激光器的阈值抽运功率的影响. 结果表明，存在最佳的抽运光束腰位置和半径、蒸气池长度以及运行温度使阈值最低，此外改善抽运光束质量也能有效降低阈值抽运功率. 所得规律与目前实验事实基本相符，表明了该模型能较好地反映半导体抽运碱金属蒸气激光器的阈值特性，为该类激光器的优化设计提供一定的借鉴和参考.
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关键词:
- 半导体抽运铯蒸气激光器 /
- 速率方程 /
- 阈值 /
- 模式匹配
A rate equation model is established to describe the threshold characteristics of a diode-pumped Cs vapor laser in this paper. With the help of the numerical solution for the model, the influences of several parameters (waist position and waist radius of pump laser, length of vapor cell, and operating temperature) on the threshold pump power are analyzed. Results show that there are optimal values of the pump waist position and radius, vapor cell length and operating temperature to ensure a lowest threshold pump power. Besides, the decrease of divergence angle can reduce threshold pump power effectively. Simulation results are in good agreement with the experimental data. It is shown that the model can be used to reveal the threshold characteristics of diode-pumped alkali vapor laser and may serve as a theoretical guidance for the optimization design of this laser.[1] Krupke W F, Beach R J, Kanz V K, Payne S A 2003 Opt. Lett. 28 2336
[2] [3] Hager G D, Perram G P 2010 Appl. Phys. B 101 45
[4] [5] Zhu Q, Pan B L, Chen L, Wang Y J, Zhang X Y 2010 Acta Phys. Sin. 59 1797 (in Chinese)[朱琦, 潘佰良, 陈立, 王亚娟, 张迅懿 2010 59 1797]
[6] [7] Yang Z N, Wang H Y, Lu Q S, Li Y D, Xu X J 2010 Chinese Journal of Lasers. 37 2502 (in Chinese)[杨子宁, 王红岩, 陆启生, 李元栋, 许晓军 2010 中国激光 37 2502]
[8] [9] Gao F, Chen F, Xie J J, Zhang L M, Li D J, Yang G L, Guo J 2013 Proc. of SPIE 8796 87961O
[10] Ehrenreich T, Zhdanov B, Takekoshi T, Phipps S P, Knize R J 2005 Electron. Lett. 41 415
[11] [12] [13] Bogachev A V, Garanin S G, Dudov A M, Yeroshenko V A, Kulikov S M, Mikaelian G T, Panarin V A, Pautov V O, Rus A V, Sukharev S A 2012 Quan. Electron. 42 95
[14] Yang Z N, Wang H Y, Hua W H, Lu Q S, Xiao N, Xu X J, Chen J B 2011 High Power Laser and Particle Beams. 23 2273 (in Chinese)[杨子宁, 王红岩, 华卫红, 陆启生, 肖楠, 许晓军, 陈金宝 2011 强激光与粒子束 23 2273]
[15] [16] Xu C, Tan R Q, Li Z Y, Li L 2013 Chinese Journal of Lasers. 1 0102009 (in Chinese)[徐程, 谭荣清, 李志永, 李琳 2013 中国激光 1 0102009]
[17] [18] Li Z Y, Tan R Q, Xu C, Li L, Zhao Z L 2013 Chin. Phys. Lett. 30 034202
[19] [20] [21] Li Z Y, Tan R Q, Huang W, Xu C 2014 Chin. Phys. Lett. 31 044202
[22] [23] [24] Zhdanov B V, Ehrenreich T, Knize R J 2006 Opt. Commun. 260 696
[25] [26] Pitz G A, Wertepny D E, Perram G P 2009 Phys. Rev. A 80 062718
[27] [28] Pitz G A, Fox C D, Perram G P 2010 Phys. Rev. A 82 042502
[29] [30] Shang L J 2003 Acta Phys. Sin. 52 1408 (in Chinese)[尚连聚 2003 52 1408]
[31] [32] Page R H, Beach R J, Kanz V K 2006 Opt. Lett. 31 353
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[1] Krupke W F, Beach R J, Kanz V K, Payne S A 2003 Opt. Lett. 28 2336
[2] [3] Hager G D, Perram G P 2010 Appl. Phys. B 101 45
[4] [5] Zhu Q, Pan B L, Chen L, Wang Y J, Zhang X Y 2010 Acta Phys. Sin. 59 1797 (in Chinese)[朱琦, 潘佰良, 陈立, 王亚娟, 张迅懿 2010 59 1797]
[6] [7] Yang Z N, Wang H Y, Lu Q S, Li Y D, Xu X J 2010 Chinese Journal of Lasers. 37 2502 (in Chinese)[杨子宁, 王红岩, 陆启生, 李元栋, 许晓军 2010 中国激光 37 2502]
[8] [9] Gao F, Chen F, Xie J J, Zhang L M, Li D J, Yang G L, Guo J 2013 Proc. of SPIE 8796 87961O
[10] Ehrenreich T, Zhdanov B, Takekoshi T, Phipps S P, Knize R J 2005 Electron. Lett. 41 415
[11] [12] [13] Bogachev A V, Garanin S G, Dudov A M, Yeroshenko V A, Kulikov S M, Mikaelian G T, Panarin V A, Pautov V O, Rus A V, Sukharev S A 2012 Quan. Electron. 42 95
[14] Yang Z N, Wang H Y, Hua W H, Lu Q S, Xiao N, Xu X J, Chen J B 2011 High Power Laser and Particle Beams. 23 2273 (in Chinese)[杨子宁, 王红岩, 华卫红, 陆启生, 肖楠, 许晓军, 陈金宝 2011 强激光与粒子束 23 2273]
[15] [16] Xu C, Tan R Q, Li Z Y, Li L 2013 Chinese Journal of Lasers. 1 0102009 (in Chinese)[徐程, 谭荣清, 李志永, 李琳 2013 中国激光 1 0102009]
[17] [18] Li Z Y, Tan R Q, Xu C, Li L, Zhao Z L 2013 Chin. Phys. Lett. 30 034202
[19] [20] [21] Li Z Y, Tan R Q, Huang W, Xu C 2014 Chin. Phys. Lett. 31 044202
[22] [23] [24] Zhdanov B V, Ehrenreich T, Knize R J 2006 Opt. Commun. 260 696
[25] [26] Pitz G A, Wertepny D E, Perram G P 2009 Phys. Rev. A 80 062718
[27] [28] Pitz G A, Fox C D, Perram G P 2010 Phys. Rev. A 82 042502
[29] [30] Shang L J 2003 Acta Phys. Sin. 52 1408 (in Chinese)[尚连聚 2003 52 1408]
[31] [32] Page R H, Beach R J, Kanz V K 2006 Opt. Lett. 31 353
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