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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 6 — Jun. 1, 2010
  • pp: 1184–1194

Stability of mode-locked pulse solutions subject to saturable gain: computing linear stability with the Floquet–Fourier–Hill method

Christopher R. Jones and J. Nathan Kutz  »View Author Affiliations


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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