Precise uncoupling theory to study gain of gas-dynamic laser

A variable quasi specific heat ratio along the supersonic nozzle of a gasdynamic laser (GDL) is introduced as a sequence. This simplifies the energy equation of the expanding gas and reduces it to a linear first order differential equation. By introducing an L2 metric on the induced gain sequence g(n) , it was observed that the sequences converge on the first step quickly. Furthermore, this precise method requires less computation time compared with the other methods.