Abstract

A simple and accurate perturbation method for the analysis of attenuation of guided modes in metal-clad waveguides and weakly absorptive waveguides is presented. The imaginary part N″ of the complex modal index N = N′ + iN″ is obtained by solving the corresponding real eigenvalue equation and is given by ∂N′/∂∊′ times ∊″, where = ∊′ + i∊″ is the complex dielectric constant of the absorptive layer and ∂N′/∂∊′ is obtained by numerical differentiation. The method is straightforward, and a cumbersome solution of complex transcendental equations is completely eliminated. Results for simple structures are in good agreement with those obtained by exact analysis.

© 1990 Optical Society of America

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