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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 6 — Mar. 19, 2007
  • pp: 2963–2973

Interactions of chirped and chirp-free similaritons in optical fiber amplifiers

Sergey A. Ponomarenko and Govind P. Agrawal  »View Author Affiliations


Optics Express, Vol. 15, Issue 6, pp. 2963-2973 (2007)
http://dx.doi.org/10.1364/OE.15.002963


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Abstract

We obtain exact self-similar solutions to an inhomogeneous nonlinear Schrödinger equation, describing propagation of optical pulses in fiber amplifiers with distributed dispersion and gain. We show that there exists a one-to-one correspondence between such self-similar waves and solitons of the standard, homogeneous, nonlinear Schrödinger equation if a certain compatibility condition is satisfied. As this correspondence guarantees the stability of the novel self-similar waves, we refer to them as similaritons. We demonstrate that, the character of similariton interactions crucially depends on the sign of the similariton phase chirp. In particular, we show that the similariton interactions can under certain conditions lead to the formation of molecule-like bound states of two similaritons.

© 2007 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: January 23, 2007
Revised Manuscript: February 20, 2007
Manuscript Accepted: February 20, 2007
Published: March 19, 2007

Citation
Sergey A. Ponomarenko and Govind P. Agrawal, "Interactions of chirped and chirp-free similaritons in optical fiber amplifiers," Opt. Express 15, 2963-2973 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-6-2963


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