Smith经验公式的理论推导

Theoretical Derivation of Smith's Empirical Formula

1966年,P.W.Smith实验测得了He—Ne激光器6328（?）的小信号增益系数Gm与放电毛细管直径d成反比关系的经验公式为Gm=3×10-4 1/d。从此,Smith这一著名的经验公式就成为实际生产设计He—Ne激光器的指导原则了。本文将此公式从原子气体放电机制上加以阐明,使其具有更坚实的理论基础。一、He—Ne激光器的原子能级图 He—Ne激光器是利用He和Ne混合气体放电来获得粒子数反转的,发射激光的气体Ne称为工作气体,He称为辅助气体。He—Ne激光产生有关的能级结构及其跃迁过程如下图所示:

This paper is originated from the basic principle of the atomic gaseous discharging physics. From utilizing the rate equation of the four—level System of the He—Ne atomic gaseous the Smith's Empirical Formula is derived.