We tackle the theory of linearly birefringent single-mode dielectric fibers in terms of magnetic fields, instead of the usual electric fields. The new approach simplifies the analysis of the minor field component as a function of the radial coordinate. Several previous results are reconfirmed and unified. New closed-form expressions are found for the field in a fiber in which the physical index seen by the minor component matches, in a part of the cross section, the guided-mode equivalent index.
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