Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Asymptotically exact parabolic solutions of the generalized nonlinear Schrödinger equation with varying parameters

Not Accessible

Your library or personal account may give you access

Abstract

We present exact asymptotic similariton solutions of the generalized nonlinear Schrödinger equation (NLSE) with gain or loss terms for a normal-dispersion fiber amplifier with dispersion, nonlinearity, and gain profiles that depend on the propagation distance. Our treatment is based on the mapping of the NLSE with varying parameters to the NLSE with constant dispersion and nonlinearity coefficients and an arbitrary varying gain function. We formulate an effective procedure that leads directly, under appropriate conditions, to a wide range of exact asymptotic similariton solutions of NLSE demonstrating self-similar propagating regimes with linear chirp.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Parabolic and hyper-Gaussian similaritons in fiber amplifiers and lasers with gain saturation

Vladimir I. Kruglov, Claude Aguergaray, and John D. Harvey
Opt. Express 20(8) 8741-8754 (2012)

Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley
J. Opt. Soc. Am. B 19(3) 461-469 (2002)

Self-similar solutions of the generalized Schrödinger equation with distributed coefficients

V.I. Kruglov, D. Méchin, and J.D. Harvey
Opt. Express 12(25) 6198-6207 (2004)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (95)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved