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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 14, Iss. 7 — Jul. 1, 1997
  • pp: 1782–1787

Nonadiabatic dynamics of dark solitons

S. Burtsev and R. Camassa  »View Author Affiliations


JOSA B, Vol. 14, Issue 7, pp. 1782-1787 (1997)
http://dx.doi.org/10.1364/JOSAB.14.001782


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Abstract

We show that under certain conditions the dark-soliton solutions of the defocusing nonlinear Schrödinger 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.

© 1997 Optical Society of America

Citation
S. Burtsev and R. Camassa, "Nonadiabatic dynamics of dark solitons," J. Opt. Soc. Am. B 14, 1782-1787 (1997)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-14-7-1782

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