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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. 28, Iss. 8 — Aug. 1, 2011
  • pp: 1988–1993

Condition for canard explosion in a semiconductor optical amplifier

Elena Shchepakina and Olga Korotkova  »View Author Affiliations


JOSA B, Vol. 28, Issue 8, pp. 1988-1993 (2011)
http://dx.doi.org/10.1364/JOSAB.28.001988


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Abstract

A model for the semiconductor optical amplifier (SOA) consisting of two coupled, nonlinear, first-order differential equations is analytically explored on the basis of the geometric theory of singularly perturbed dynamical systems. The value of the control parameter μ, accounting for the stimulated emission, for which the solution exhibits the phenomenon of “canard explosion” is determined depending on the rest of the SOA’s parameters. Such value is represented by a power series of a small parameter ε of the singularly perturbed system. An example is considered where the canard explosion is numerically evaluated for a typical set of the SOA’s parameters. The importance of rigorous determination of the critical regime in the SOA for optical synchronization and photonic clocking is outlined.

© 2011 Optical Society of America

OCIS Codes
(140.3280) Lasers and laser optics : Laser amplifiers
(140.3430) Lasers and laser optics : Laser theory
(140.4480) Lasers and laser optics : Optical amplifiers
(140.5960) Lasers and laser optics : Semiconductor lasers

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: May 2, 2011
Revised Manuscript: June 23, 2011
Manuscript Accepted: June 28, 2011
Published: July 22, 2011

Citation
Elena Shchepakina and Olga Korotkova, "Condition for canard explosion in a semiconductor optical amplifier," J. Opt. Soc. Am. B 28, 1988-1993 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-8-1988

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