Yj. Chen et J. Atai, FEMTOSECOND SOLITON PULSES IN BIREFRINGENT OPTICAL FIBERS, Journal of the Optical Society of America. B, Optical physics, 14(9), 1997, pp. 2365-2372
We consider femtosecond soliton-pulse propagation in a birefringent op
tical fiber where rapidly oscillating terms, the difference in polariz
ation dispersions, and the difference in group velocities of the two p
olarization components have to be taken into account. We demonstrate t
he existence of a novel class of linearly polarized soliton states (wi
th the linear polarization ranging from 0 to 2 pi). We also find the e
lliptically polarized soliton states, which do not appear to be accept
able to the coupled nonlinear Schrodinger equations describing the pul
se evolution in the birefringent fiber when the different dispersions
between the two polarizations are ignored and the group-velocity diffe
rence is taken into account. More importantly, the corresponding stabi
lity analysis reveals that within certain operating regions the fast s
oliton can be stable and the slow soliton can be unstable, whereas in
the others the fast soliton is unstable and the slow soliton is stable
, in contrast to those reported earlier by neglecting different polari
zation dispersions. On the other hand, both the linearly polarized sol
iton states and the elliptically polarized soliton states are found to
be unstable. This indicates that for high-capacity coherent soliton c
ommunication in the femtosecond regime, the pulse must be launched alo
ng either the slow or the fast axis of a practical polarization-mainta
ining fiber. Finally, the potential applications of weakly unstable li
nearly polarized soliton states for ultrafast soliton switching are di
scussed. (C) 1997 Optical Society of America.