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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 11 — Nov. 1, 2013
  • pp: 3064–3074

Comparison of numerical methods for modeling laser mode locking with saturable gain

Shaokang Wang, Andrew Docherty, Brian S. Marks, and Curtis R. Menyuk  »View Author Affiliations


JOSA B, Vol. 30, Issue 11, pp. 3064-3074 (2013)
http://dx.doi.org/10.1364/JOSAB.30.003064


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Abstract

The widely used split-step Fourier method has difficulties when solving partial differential equations with saturable gain. Here, we describe a modified split-step Fourier method, and we compare it to several different algorithms for solving the Haus mode-locking equation and related equations that are used to model mode-locked lasers and other optical oscillators and amplifiers with saturable gain. These equations all include the product of a scalar nonlinearity and a stiff nonlinear operator. We find that a modified split-step method is the easiest to program with the same level of reliability and accuracy as the other methods that we investigated.

© 2013 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(140.3280) Lasers and laser optics : Laser amplifiers
(140.4050) Lasers and laser optics : Mode-locked lasers

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: July 11, 2013
Revised Manuscript: October 1, 2013
Manuscript Accepted: October 1, 2013
Published: October 31, 2013

Citation
Shaokang Wang, Andrew Docherty, Brian S. Marks, and Curtis R. Menyuk, "Comparison of numerical methods for modeling laser mode locking with saturable gain," J. Opt. Soc. Am. B 30, 3064-3074 (2013)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-11-3064

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