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Exact dispersion equation of a graded refractive-index optical waveguide based on the equivalent attenuated vector

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Abstract

On the basis of the transfer-matrix technique, the concept of the equivalent attenuated vector is proposed and used to analyze the characteristics of the propagating modes in planar optical waveguides with graded refractive-index profile; an exact analytic equation is obtained for the dispersion equation of arbitrary graded refractive-index planar optical waveguides.

© 1998 Optical Society of America

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