Recent theoretical investigations have demonstrated that the stability of mode-locked solution of multiple frequency channels depends on the degree of inhomogeneity in gain saturation. In this paper, these results are generalized to determine conditions on each of the system parameters necessary for both the stability and 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 existence of solutions as well. Furthermore, we determine the critical degree of inhomogeneous gain broadening required to support pulses in multiple frequency channels.
|Title of host publication||Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications IX|
|Editors||Peter E. Powers|
|Place of Publication||Bellingham, WA (US)|
|Number of pages||12|
|Publication status||Published - 17 Feb 2010|
|Event||Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications IX - San Francisco, CA, United States|
Duration: 25 Jan 2010 → 28 Jan 2010
|Conference||Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications IX|
|City||San Francisco, CA|
|Period||25/01/10 → 28/01/10|
Bibliographical noteEdward Farnum; Brandon G. Bale and J. Nathan Kutz; "Mode-locked laser pulse sources for wavelength division multiplexing", Proc. SPIE 7582, Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications IX, 758216 (February 17, 2010).
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- mode-locked lasers
- wavelength division multiplexing