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Instability and chaos of CO2 laser induced by external optical feedback

We present the numerical results of the dynamics of a single- mode homogeneously broadened CO2 laser system with external optical feedback. Firstly, we introduce the CO2 laser equations in which we added the team of optical feedback into the two-level single-mode CO2 laser equations. Secondly, the stability of the equations was analyzed and the equations was solved numerically. We find a little amount of optical feedback will induce the system from steady state to unsteady state and with the feedback increasing the system become periodic, quasiperiodic and finally chaotic states. The delay time will also affect the system stability. Lastly, the attractors and the power spectra of this system were given.