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Failure of geometric optics for analysis of circular optical fibers

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Abstract

In addition to rays that lose energy by undergoing refraction, there is a large class of weakly attenuated rays in circular optical fibers. These leaky rays are incorrectly predicted to be lossless by Fresnel’s laws. Thus, Fresnel’s laws fail for the analysis of long fibers. The significance and properties of leaky rays are discussed. A very simple attenuation coefficient is given, from which the loss of all rays is computed. This attenuation coefficient makes it possible to extend the use of ray tracing and Snell’s laws for analyzing circular optical fibers.

© 1974 Optical Society of America

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