We have analyzed the linear propagation characteristics of planar periodic segmented waveguides with infinitely extended parabolic refractive-index segments in the transverse direction, using the matrix formulation of Gaussian beam propagation. Modal propagation and the variation of effective index as a function of duty cycle and the period of segmentation have been studied. Conditions for the existence of guided modes in such a segmented waveguide are presented.
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Thyagarajan et al. (1994) studied this question.
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