Abstract

Nonlinear propagation constants and related nonlinearity coefficients of the fundamental modes of tapered fibers and step-index elliptical-core fibers are determined by the use of a new numerical approach for solving vectorial Maxwell’s equations, assuming a Kerr-type nonlinearity. A numerical method based on a finite-element scheme and the iteration procedure are reported. Nonlinear modal parameters computed from solutions of the scalar Helmholtz equation and vectorial Maxwell’s equations are compared with those obtained by the use of scalar and vectorial 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 method for some ranges of the input power is established. Physical interpretation of the results and their potential applications are given.

© 1995 Optical Society of America

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