Ba. Malomed et Rs. Tasgal, THE RAMAN EFFECT AND SOLITONS IN AN ELLIPTIC OPTICAL-FIBER, Journal of nonlinear optical physics and materials, 5(3), 1996, pp. 559-574
We derive a general system of coupled nonlinear Schrodinger equations,
describing light in a bimodal optical fiber, taking into account the
quasi-instantaneous Raman effect, group-velocity birefringence, phase-
velocity birefringence, and optical activity, and for light with gener
al ellipticity. The Raman coefficients prove to obey a relation which
depends on the ellipticity. When group-velocity birefringence and opti
cal activity are both non-zero, polarization couples to the changing f
requency, so soliton polarization cannot be held constant in this case
. Without optical activity, there are solitons with constant polarizat
ion either entirely in one polarization (''simple'') or equally divide
d between the two polarizations (''vector''). At ellipticity angle 0 d
egrees to 35.3 degrees, the simple solitons are stable and the vector
solitons are unstable, and vice versa for ellipticity angle 35.3 degre
es to 90 degrees. With optical activity, the polarization can be const
ant, but with a rather more complex form. Stability is also examined,
and bistability is found in some circumstances.