Abstract
We employ the propagating beam method (PBM) to study mode coupling in the framework of the local normal modes of planar, two-dimensional, graded-index optical waveguides. In particular, we examine the effects of periodic radial deformations along the axis of a parabolic, graded-index, waveguide and compare our results to those of perturbation theory. This comparison allows us to establish the accuracy of the PBM and to generate an improved version of a frequently cited PBM formalism based on the full scalar wave equation rather than the Fresnel approximation.
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