Modeling of an injected gas laser

We develop a model to compute the line shape of an injected gas laser. The model describes the competition that occurs between the injected field and the usual resonant field of the laser, which are both considered as separate dynamic variables. A small Signal stability analysis of the stationary solutions is used to study this competition: the laser field may be destroyed due to gain quenching by the injected field, which explains the frequency locking phenomenon. We give the connection with the standard Adler model. Theoretical and experimental results that describe the line shape inside or outside the locking range are given for the typical He-Ne laser operating at 3.39 mu m.