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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. 8 — Aug. 1, 2013
  • pp: 2191–2198

Short-pulse perturbation theory

Edward D. Farnum and J. Nathan Kutz  »View Author Affiliations


JOSA B, Vol. 30, Issue 8, pp. 2191-2198 (2013)
http://dx.doi.org/10.1364/JOSAB.30.002191


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Abstract

A perturbation theory for the short-pulse equation is developed to investigate the effects of various perturbations on optical solitons propagating in nonlinear media in the few femtosecond to subfemtosecond regime. The theory is formulated using a variational approach since linearization of the exact solution is not tractable. A variety of physically realizable perturbations are considered, culminating in perturbations that result from considering short-pulse mode locking. In each case, the analytic results presented are in agreement with full numerical simulations of the short-pulse theory. Given the tremendous success of soliton perturbation theory in the theoretical realm of optical solitons, the short-pulse perturbation theory attempts to provide the same theoretical framework for understanding physically realizable mechanisms that affect pulse evolution and stability when nearing the attosecond regime.

© 2013 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(140.4050) Lasers and laser optics : Mode-locked lasers
(140.7090) Lasers and laser optics : Ultrafast lasers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(140.3538) Lasers and laser optics : Lasers, pulsed

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: April 23, 2013
Revised Manuscript: June 7, 2013
Manuscript Accepted: June 7, 2013
Published: July 18, 2013

Citation
Edward D. Farnum and J. Nathan Kutz, "Short-pulse perturbation theory," J. Opt. Soc. Am. B 30, 2191-2198 (2013)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-8-2191


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