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Orthogonality and normalization of radiation modes in dielectric waveguides

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Abstract

By expressing Maxwell’s equations in a linear-operator formalism, it is shown that the orthogonality and normalization properties of the continuous spectrum of radiation modes in a dielectric waveguide with arbitrary refractive-index profile and cross-sectional shape can be established directly from the properties of much simpler free-space fields.

© 1982 Optical Society of America

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