Abstract

Simulations and experiments indicate that solitons in optical fibers are robust in the presence of Hamiltonian deformations such as higher-order dispersion and birefringence but are destroyed in the presence of non-Hamiltonian deformations such as attenuation and the Raman effect. Two hypotheses are introduced that generalize these observations and give a recipe for when deformations will be Hamiltonian. Concepts from nonlinear dynamics are used to make these two hypotheses plausible. Soliton stabilization with frequency filtering is also briefly discussed from this point of view.

© 1993 Optical Society of America

Stability of solitons in birefringent optical fibers. II. Arbitrary amplitudes

Curtis R. Menyuk
J. Opt. Soc. Am. B 5(2) 392-402 (1988)

Robust solitary waves in fiber transmission lines with semiconductor optical amplifiers

M. Gölles, I. M. Uzunov, and F. Lederer
J. Opt. Soc. Am. B 16(5) 689-694 (1999)

Soliton stability in birefringent optical fibers: analytical approach

Yuri S. Kivshar
J. Opt. Soc. Am. B 7(11) 2204-2209 (1990)

Solitary waves due to χ⁽²⁾:χ⁽²⁾ cascading

C. R. Menyuk, R. Schiek, and L. Torner
J. Opt. Soc. Am. B 11(12) 2434-2443 (1994)

Polarization stability of solitons in birefringent optical fibers

D. C. Hutchings and J. M. Arnold
J. Opt. Soc. Am. B 16(4) 513-518 (1999)