Stability of mode-locked pulse solutions subject to saturable gain: computing linear stability with the Floquet–Fourier–Hill method
JOSA B, Vol. 27, Issue 6, pp. 1184-1194 (2010)
http://dx.doi.org/10.1364/JOSAB.27.001184
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Abstract
The stability of local structures in optical systems is of great importance. We demonstrate that using the Floquet–Fourier–Hill (FFH) method provides a substantial improvement in both speed and accuracy over finite-difference methods that are commonly used. Furthermore, we show how to incorporate the effect of nonlocal saturable gain in the linearization and stability predictions. Several examples of problems are worked with both the FFH and finite-difference methods and compared in the context of mode-locked laser models.
© 2010 Optical Society of America
OCIS Codes
(140.3500) Lasers and laser optics : Lasers, erbium
(140.3510) Lasers and laser optics : Lasers, fiber
(140.4050) Lasers and laser optics : Mode-locked lasers
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers
(060.3510) Fiber optics and optical communications : Lasers, fiber
ToC Category:
Lasers and Laser Optics
History
Original Manuscript: March 8, 2010
Revised Manuscript: March 29, 2010
Manuscript Accepted: March 30, 2010
Published: May 11, 2010
Citation
Christopher R. Jones and J. Nathan Kutz, "Stability of mode-locked pulse solutions subject to saturable gain: computing linear stability with the Floquet–Fourier–Hill method," J. Opt. Soc. Am. B 27, 1184-1194 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-6-1184
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