Abstract

The calculation of a propagation constant is an interesting problem in the study of planar waveguides. We present a new method for solving the problem of a planar dielectric waveguide with arbitrary refractive-index variation for either TE or TM modes, and this method is simpler than other methods. Taking a parabolic refractive-index profile as an example, we show that high accuracy can be attained with this new method, provided that the waveguide is divided into layers of proper number and thickness.

© 1993 Optical Society of America

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Noniterative calculation of complex propagation constants in planar waveguides

Raymond Z. L. Ye and David O. Yevick
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Determination of a dielectric waveguide propagation constant using a multifilament-current model

H. Cory, Z. Altman, and Y. Leviatan
Opt. Lett. 14(18) 1026-1028 (1989)

Approximate formula for the propagation constant of the basic mode in slab waveguides of arbitrary-index profile

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Appl. Opt. 24(23) 4189-4191 (1985)

Dielectric overlayer for polarization discrimination in KTP channel waveguides

W. P. Risk, S. D. Lau, and B. N. Kurdi
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