Bifurcation and stability in a low-dimensional model for multiple-frequency mode-locked lasers

Edward D. Farnum, Brandon G. Bale, J. Nathan Kutz

    Research output: Contribution to journalArticlepeer-review


    Recent theoretical investigations have demonstrated that the stability of mode-locked solutions of multiple frequency channels depends on the degree of inhomogeneity in gain saturation. In this article, these results are generalized to determine conditions on each of the system parameters necessary for both the stability and the existence of mode-locked pulse solutions for an arbitrary number of frequency channels. In particular, we find that the parameters governing saturable intensity discrimination and gain inhomogeneity in the laser cavity also determine the position of bifurcations of solution types. These bifurcations are completely characterized in terms of these parameters. In addition to influencing the stability of mode-locked solutions, we determine a balance between cubic gain and quintic loss, which is necessary for the existence of solutions as well. Furthermore, we determine the critical degree of inhomogeneous gain broadening required to support pulses in multiple-frequency channels.

    Original languageEnglish
    Article number033851
    Number of pages12
    JournalPhysical Review A
    Issue number3
    Publication statusPublished - 31 Mar 2010


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