Abstract

This paper considers a dielectric waveguide that is uniform in the z direction and composed of N homogeneous regions with = k and μ = μk (k = 1, 2, …, N). If the electromagnetic field of a specified mode is tightly confined in the vicinity of the k th region, the phase constant β would be mainly determined by k and μk. We present a few simple general relations between dispersion and power-flow distribution. For example, the sum of kμk’s weighted by PkPk, where Pk denotes the fractional power carried in the k th region, is equal to 1/νpνg. Another main result is that the partial derivative (β2)/ω2(kμk) is close to PkPk in a weakly guiding dielectric waveguide. Applications of them to analysis of a dielectric surface waveguide are discussed.

© 1975 Optical Society of America

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