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Shooting method technique has been used to investigate the propagation and dispersion characteristics of nonlinear single-mode optical fibers for both step and quadratic profiles. Reasonable approximations are made to match the fiber cylindrical geometry. An error function is defined to estimate the discrepancy between the expected boundary conditions and that obtained by numerical integration of the wave equation through Runge-Kutta method. The secant method is then used to obtain the correct eigen values of the propagation constant and its normalized frequency derivatives through a two-path iterative manner. The effects of the injected optical power and the nonlinear Kerr coefficient on the effective index and the dispersion parameters are considered. The performance of the optical fiber under nonlinear conditions is found to be governed not only by the overall value of the normalized frequency but also by its constituent parameters. The obtained results are compared with the published ones giving a fair agreement.

Chromatic Dispersion Characteristics of Single-mode Optical Fibers with Kerr-Type Nonlinearity