A complete characterization is given of the effects of homogeneous and inhomogeneous gain broadening on the mode-locking dynamics and stability of a laser operating simultaneously at N frequency channels. Using a low-dimensional model for the wavelength-division multiplexing interactions of the governing cubic-quintic master mode-locking equation, the interplay of the gain dynamics can be completely classified. This gives a simple way to characterize the laser performance and the parameter regimes under which stable multifrequency operation can be achieved. The analysis shows that a small amount of inhomogeneous gain broadening is critical for the multifrequency operation. The model further provides a simple framework for understanding the stability of mode-locked pulses at multiple frequencies, thus contributing to the characterization of the increasingly important and timely technology of dual-frequency and multifrequency mode-locked laser cavities.
© 2008 Optical Society of AmericaFull Article | PDF Article
Edward D. Farnum, Leslie Butson, and J. Nathan Kutz
J. Opt. Soc. Am. B 23(2) 257-264 (2006)
Joshua L. Proctor and J. Nathan Kutz
J. Opt. Soc. Am. B 23(4) 652-662 (2006)
J. Nathan Kutz and Björn Sandstede
Opt. Express 16(2) 636-650 (2008)