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We study mode coupling in planar 2-D graded-index optical waveguides with the beam propagation method. In particular we examine the effect of periodic radial deformations along the axis of a parabolic refractiveindex waveguide and compare our results to the results of perturbation theory.

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By comparison of calculations and measurement of the farfield and the pulse response from a single-mode fiber, it is found that some limitations are given on the shape of the index profile. These limitations are used to fit the index profile, and it appears that the equivalent step profile is not a useful approximation in designing singlemode fibers with zero dispersion.By integration of the product of refractive index, group index and intensity we obtained the group delay [6]. Here, it was found also that the integration can be performed analytically. Differentiation of the group delay gives the dispersion. The convergence of this method with respect to group delay and dispersion was examined by increasing the number of layers in the index profile to 20, 40 and 80. The agreement between results indicates that the dispersion is correct within 0.2 ps/(km · nm).