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Fundamental error of recent coupled mode formulations

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Abstract

We demonstrate that the Hardy-Streifer coupled mode for-mulation and similar forms, including those of Haus et al. and Chuang, are incorrect unless restricted to TE modes in planar geometry. The error becomes arbitrarily large with increasing core refractive index, while the error in th conventional (first-order) theory approaches zero in the limit of weak coupling.

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