Diagnostics of vibrational temperatures in $СО_2$ lasers by the gain of overlapping lines of different vibrational bands

A method of determining vibrational temperatures of nonequilibrium carbon dioxide from the ratio of amplification (absorption) factors measured for overlapping lines of different vibrational bands has been developed and tested. Experiment has shown that the amplification of a number of vibration-rotational lines of "hot" bands overlapping the lines of the main laser transitions of $СO_2$ can be found from their contribution to the amplification of the main 10.4 and 9.4 μm band lines.