Vp. Tzolov et al., NONLINEAR MODAL PARAMETERS OF OPTICAL FIBERS - A FULL-VECTORIAL APPROACH, Journal of the Optical Society of America. B, Optical physics, 12(10), 1995, pp. 1933-1941
Nonlinear propagation constants and related nonlinearity coefficients
of the fundamental modes of tapered fibers and step-index elliptical-c
ore fibers are determined by the use of a new numerical approach for s
olving vectorial Maxwell's equations, assuming a Kerr-type nonlinearit
y. A numerical method based on a finite-element scheme and the iterati
on procedure are reported. Nonlinear modal parameters computed from so
lutions of the scalar Helmholtz equation and vectorial Maxwell's equat
ions are compared with those obtained by the use of scalar and vectori
al first-order perturbation methods. For both devices, the limitation
of the scalar approach is clearly demonstrated. For tapered nonlinear
fibers, the validity of the full-vectorial first-order perturbation me
thod for some ranges of the input power is established. Physical inter
pretation of the results and their potential applications are given. (
C) 1995 Optical Society of America