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依据非链式脉冲氟化氘(DF)激光器的反应机理, 采用速率方程理论, 综合考虑了基态DF分子、D2分子、D原子、F原子对激发态DF分子的消激发作用, 建立了非链式脉冲DF激光器反应动力学模型. 运用Runge-Kutta法对该模型进行数值计算, 得到了增益区内各组分粒子数密度随时间的变化关系. 进而运用该模型研究了工作气体配比和输出镜反射率对DF激光器腔内光子数密度、 单脉冲能量、脉冲宽度和输出功率的影响, 得到了最佳气体配比和最佳输出镜反射率参数. 采用放电引发方式对非链式DF激光器进行了实验研究, 实验测得脉冲波形及单脉冲能量与速率方程理论模型计算结果基本一致. 本文的研究结果可为非链式脉冲DF激光器的优化设计提供理论参考.Based on the reaction mechanism of non-chain pulsed DF laser and taking into consideration the deactivation of the stimulated DF molecules by ground state DF molecules, D2 molecules, D atoms, F atoms, the dynamical model for non-chain pulsed DF laser is established using the rate equation theory. Through solving this model with Runge-Kutta method, the dependence of species concentration in the gain area on time is obtained. Then the effects of the working gas ratio and the reflectance of output mirror on photon number density, single pulse energy, pulse width and output power are studied in light of this model. The optimum parameters of the working gas ratio and the reflectance of output mirror are attained based on the theoretical calculation. The pulse waveform and single pulse energy of non-chain pulsed DF laser calculated by using the rate equations theory agree well with experimental data based on electric-discharge. These results would provide a theoretical support for the optimization of non-chain pulsed DF laser.
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Keywords:
- pulsed DF laser /
- dynamical model /
- rate equations /
- numerical calculation
[1] Paulson R F 1973 Appl. Phys. 44 5633
[2] Clayton H B, Frank A 1977NASA TN D-8390
[3] Serafetinides A A, Rickwood K R, Papadopoulous A D 1991 Appl. Phys. B 52 46
[4] Moore H 2000 NDIA 2000 joint services small arms symposium 29 August 2000 p7
[5] Kerber R L, Emanuel G, Whittier J S 1972 Technical Report TR-0172(2753)-3
[6] Kerber R L, Whittier J S 1977 Technical Report AD-A043319
[7] Lyman J L 1973 Appl. Optics 12 2736
[8] Liu H, Yao J Q, Zheng F H, Lu Y, Wang P 2008 Acta Phys. Sin. 57 1319 (in Chinese) [刘欢, 姚建铨, 郑芳华, 路洋, 王鹏 2008 物理学报 57 1319]
[9] Tian Z S, Wang Q, Li Z Q, Wang Y S 2001 Acta Phys. Sin. 50 2369 (in Chinese) [田兆硕, 王骐, 李自勤,王雨三 2001 物理学报 50 2369]
[10] Chen L, Mao B N, Wang Y B, Wang L M, Pan B L 2007 Acta Phys. Sin. 56 6976 (in Chinese) [陈立, 毛邦宁, 王煜博, 王丽敏, 潘佰良 2007 物理学报 56 6979]
[11] Li G F, Duo L P, Jin Y Q, Yu H J, Wang D Z, Sang F T 2010 Acta Phys. Sin. 59 4672 ( in Chinese) [李国富, 多丽萍, 金玉奇, 于海军, 王德真, 桑凤亭 2010 物理学报 59 4672]
[12] Gross W F, Bott J F 1976 Handbook of chemical lasers (Sussex: John Wiley & Sons Ltd) p504
[13] PanchenkoAN, OrlovskiVM, TarasenkoV F, Baksht E H 2003 Proceedings of the SPIE 5137 303
[14] Perry D S, Polanyi J C 1976 J. Chem. Phys. 57 1574
[15] Kompa K L 1973 Chemical lasers (Berlin: Springer-Verlag) p19
[16] Arunane, Setser D W 1992 J. Chem. Phys. 97 1734
[17] Chen L 2007 Ph. D. Dissertation (Harbin: Harbin Institute of Technology) (in Chinese) [程丽 2007 博士学位论文 (哈尔滨: 哈尔滨工业大学)]
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[1] Paulson R F 1973 Appl. Phys. 44 5633
[2] Clayton H B, Frank A 1977NASA TN D-8390
[3] Serafetinides A A, Rickwood K R, Papadopoulous A D 1991 Appl. Phys. B 52 46
[4] Moore H 2000 NDIA 2000 joint services small arms symposium 29 August 2000 p7
[5] Kerber R L, Emanuel G, Whittier J S 1972 Technical Report TR-0172(2753)-3
[6] Kerber R L, Whittier J S 1977 Technical Report AD-A043319
[7] Lyman J L 1973 Appl. Optics 12 2736
[8] Liu H, Yao J Q, Zheng F H, Lu Y, Wang P 2008 Acta Phys. Sin. 57 1319 (in Chinese) [刘欢, 姚建铨, 郑芳华, 路洋, 王鹏 2008 物理学报 57 1319]
[9] Tian Z S, Wang Q, Li Z Q, Wang Y S 2001 Acta Phys. Sin. 50 2369 (in Chinese) [田兆硕, 王骐, 李自勤,王雨三 2001 物理学报 50 2369]
[10] Chen L, Mao B N, Wang Y B, Wang L M, Pan B L 2007 Acta Phys. Sin. 56 6976 (in Chinese) [陈立, 毛邦宁, 王煜博, 王丽敏, 潘佰良 2007 物理学报 56 6979]
[11] Li G F, Duo L P, Jin Y Q, Yu H J, Wang D Z, Sang F T 2010 Acta Phys. Sin. 59 4672 ( in Chinese) [李国富, 多丽萍, 金玉奇, 于海军, 王德真, 桑凤亭 2010 物理学报 59 4672]
[12] Gross W F, Bott J F 1976 Handbook of chemical lasers (Sussex: John Wiley & Sons Ltd) p504
[13] PanchenkoAN, OrlovskiVM, TarasenkoV F, Baksht E H 2003 Proceedings of the SPIE 5137 303
[14] Perry D S, Polanyi J C 1976 J. Chem. Phys. 57 1574
[15] Kompa K L 1973 Chemical lasers (Berlin: Springer-Verlag) p19
[16] Arunane, Setser D W 1992 J. Chem. Phys. 97 1734
[17] Chen L 2007 Ph. D. Dissertation (Harbin: Harbin Institute of Technology) (in Chinese) [程丽 2007 博士学位论文 (哈尔滨: 哈尔滨工业大学)]
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