Nonadiabatic dynamics of dark solitons

Journal Article · Tue Jul 01 04:00:00 EDT 1997 · Journal of the Optical Society of America, Part B: Optical Physics

DOI:https://doi.org/10.1364/JOSAB.14.001782· OSTI ID:531754

Burtsev, S; Camassa, R ^[1]

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1. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We show that under certain conditions the dark-soliton solutions of the defocusing nonlinear Schr{umlt o}dinger equation can be less stable than their bright counterparts. This is due to the tendency of a dark soliton under external perturbation to generate dispersive waves that organize themselves into a shelf around the pulse wings, as exemplified by the simple case of dark solitons under small linear damping or amplification. The shelf generation is a nonadiabatic process: The shelf area is of order unity after a propagation distance that scales as the inverse of the perturbation magnitude. This is in contrast with the bright-soliton dynamics under similar circumstances. We analyze the effect of this extra source of dispersive waves on possible dark-soliton-based long-distance communication systems. We find that the second-order (in the normalized amplifier spacing) perturbation that results from averaging does not lead to shelf formation, whereas a control device in general causes it, unless the controller parameters are chosen according to a simple criterion aimed at suppressing dispersive wave generation. We illustrate the effectiveness of this criterion with extensive numerical simulations. {copyright} 1997 Optical Society of America

• OSTI ID: 531754
• Journal Information: Journal of the Optical Society of America, Part B: Optical Physics, Journal Name: Journal of the Optical Society of America, Part B: Optical Physics Journal Issue: 7 Vol. 14; ISSN JOBPDE; ISSN 0740-3224
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AMPLIFICATION
DAMPING
DYNAMICS
NONLINEAR OPTICS
NUMERICAL ANALYSIS
OPTICAL FIBERS
SCHROEDINGER EQUATION
SIMULATION
SOLITONS
WAVE PROPAGATION