高功率TE(A) CO2激光器的调谐理论研究
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摘要
本文导出了描述可调谐脉冲TE（A）CO_2激光器任何一条或多条激光振荡线
的六温度模型速率方程组。利用这个方程组，可以从理论上研究采用各种可调
谐技术（如光栅调谐、F-P调制器调谐、注入锁模等）的TE（A）CO_2激光器的
调谐特性。
本文还解决了多频速率方程组中泵浦电子数密度的求解问题。指出利用
CO_2-N_2-He-CO等分子的有关碰撞截面数据，求解Boltzmann方程，可得到电子
碰撞电离系数、电子中性离子附着系数及电子漂移速度和放电E/N值的函数关
系，然后结合具体的激光放电电路得到泵浦电子数密度随时间变化的关系。作
为例子，文中详细计算了不同激光混合气组成和气压下，电容贮能的CLR放电
电路和脉冲形成网络贮能的PFN放电电路的电压、电流和泵浦电子数密度随时
间的变化关系。
因此，本文解决了TE（A）CO_2激光器速率方程和实际激光放电泵浦电路之
间的相互关联问题，系统地建立了可调谐激光器理论。作为该理论的具体应用，
本文详细研究了光栅调谐、低锐度F-P调谐、注入锁模调谐和复合调谐高功率
脉冲TE（A）CO_2激光器的调谐输出特性，得出了许多有意义的结果，并和一些
初步的实验结果进行了比较。
In this paper, we deduced the six-temperature mode rate equations that can be applied to one or multi-frequency oscillation in a tunable TE(A) CO2 laser. By using these equations, the frequency-tuning characteristics of TE(A) CO2 lasers, using such techniques as grating, F-P modulator, or injection locking, can be investigated theoretically.
Also, in this paper, a mathematical mode was set up to derive the pumping electron density from the laser discharge circuit. With all relevant collision cross-section data of C02-N2-He-CO molecules, the relationship of the electron collision ionization coefficient, electron-neutral particle attachment coefficient and electron drift velocity with the discharge parameter F/N could be obtained by solving Boltzmann equation, so the time evolution of the pumping electron density in any given laser discharge circuit could be solved numerically. For instance, the evolution of laser discharge voltage, current and pumping electron density, either in a CLR discharge circuit or a PFN discharge circuit, was studied in detail under different gas mixtures and pressures.
In a word, we solved the correlation problem of the rate equations of a TE(A) CO2 laser and its actual discharge pumping circuit, and established a frequency-tuning theory systematically. As examples, we thoroughly investigated the tuning characteristics of a high power tunable TE(A) CO2 laser using grating, F-P modulator or injection locking tuning and obtained many valuable theoretical results. Some experiments were also carried out on a high power tunable TEA CO2 laser, which showed good agreement with the theoretical analyses.
的六温度模型速率方程组。利用这个方程组，可以从理论上研究采用各种可调
谐技术（如光栅调谐、F-P调制器调谐、注入锁模等）的TE（A）CO_2激光器的
调谐特性。
本文还解决了多频速率方程组中泵浦电子数密度的求解问题。指出利用
CO_2-N_2-He-CO等分子的有关碰撞截面数据，求解Boltzmann方程，可得到电子
碰撞电离系数、电子中性离子附着系数及电子漂移速度和放电E/N值的函数关
系，然后结合具体的激光放电电路得到泵浦电子数密度随时间变化的关系。作
为例子，文中详细计算了不同激光混合气组成和气压下，电容贮能的CLR放电
电路和脉冲形成网络贮能的PFN放电电路的电压、电流和泵浦电子数密度随时
间的变化关系。
因此，本文解决了TE（A）CO_2激光器速率方程和实际激光放电泵浦电路之
间的相互关联问题，系统地建立了可调谐激光器理论。作为该理论的具体应用，
本文详细研究了光栅调谐、低锐度F-P调谐、注入锁模调谐和复合调谐高功率
脉冲TE（A）CO_2激光器的调谐输出特性，得出了许多有意义的结果，并和一些
初步的实验结果进行了比较。
In this paper, we deduced the six-temperature mode rate equations that can be applied to one or multi-frequency oscillation in a tunable TE(A) CO2 laser. By using these equations, the frequency-tuning characteristics of TE(A) CO2 lasers, using such techniques as grating, F-P modulator, or injection locking, can be investigated theoretically.
Also, in this paper, a mathematical mode was set up to derive the pumping electron density from the laser discharge circuit. With all relevant collision cross-section data of C02-N2-He-CO molecules, the relationship of the electron collision ionization coefficient, electron-neutral particle attachment coefficient and electron drift velocity with the discharge parameter F/N could be obtained by solving Boltzmann equation, so the time evolution of the pumping electron density in any given laser discharge circuit could be solved numerically. For instance, the evolution of laser discharge voltage, current and pumping electron density, either in a CLR discharge circuit or a PFN discharge circuit, was studied in detail under different gas mixtures and pressures.
In a word, we solved the correlation problem of the rate equations of a TE(A) CO2 laser and its actual discharge pumping circuit, and established a frequency-tuning theory systematically. As examples, we thoroughly investigated the tuning characteristics of a high power tunable TE(A) CO2 laser using grating, F-P modulator or injection locking tuning and obtained many valuable theoretical results. Some experiments were also carried out on a high power tunable TEA CO2 laser, which showed good agreement with the theoretical analyses.
引文
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