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Explicit General Eigenvalue Solutions for Dielectric Slab Waveguides

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Abstract

A formula is developed for dielectric slab waveguides that yields general solutions of the TE eigenmode propagation constants as explicit functions of a composite independent variable involving the guide layer thickness, operating wavelength, and refractive indexes of guide and cladding media. This provides a convenient means for circumventing the transcendental eigenvalue equations. The maximum error is less than 0.6%. A method for deriving the corresponding TM eigenvalues with an accuracy of about 99% or better is shown.

© 1975 Optical Society of America

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