Nitrogen lasers, optical devices of variable gain coefficient: Theoretical considerations

Based on our previous measurements on the gain values by employing an oscillator amplifier (OSC-AMP) N₂-laser system of variable AMP electrode lengths, a calculation has been made for evaluation of the gain coefficient using rate equations. It is shown both numerically and analytically that small signal gain, g₀, is following our experimental observations of g₀=m+n/l_AMP, where m and n are some constants, and l_AMP is the length of the amplifier. For simplifying the calculation in the OCS-AMP circuit, an experimental condition of imposing the OSC-open-circuit operation has been applied, where the voltage waveforms from the relevant sections of the Blumlein circuit have been used for evaluation of the circuit parameters. Due to the fact that during the past years different cross-sections for the electron-impact excitations from the ground to the upper, N₂(C), and lower, N₂(B), have been introduced, our experimental observations have also been applied to examine the effect of introduced electron impact-excitation cross-sections on the g₀(l_AMP) behavior.