K. Thyagarajan et al., PROPAGATION CHARACTERISTICS OF PLANAR SEGMENTED WAVE-GUIDES WITH PARABOLIC INDEX SEGMENTS, Optics letters, 19(24), 1994, pp. 2113-2115
We have analyzed the linear propagation characteristics of planar peri
odic segmented waveguides with infinitely extended parabolic refractiv
e-index segments in the transverse direction, using the matrix formula
tion of Gaussian beam propagation. Modal propagation and the variation
of effective index as a function of duty cycle and the period of segm
entation have been studied. Conditions for the existence of guided mod
es in such a segmented waveguide are presented.