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High-accuracy representation of propagation properties of hybrid modes in a Bragg fiber based on Bloch theorem in cylindrical coordinates

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Abstract

We investigate the propagation properties of a Bragg fiber with high-accuracy analytical representation. In this study, electromagnetic waves in the cladding are treated as genuine cylindrical waves, that is, Hankel functions. We apply the Bloch theorem in the cylindrical coordinates to the electromagnetic fields in the periodically stratified cladding structure. Then, effective indices are actually calculated for TE, TM, and hybrid (HE, EH) modes through eigenvalue equations. We show that these results are distinctly close to those by the multilayer division method that gives more accurate solutions for cylindrically symmetric fiber structures than the results by the asymptotic expansion method, even for the lowest mode HE11.

© 2011 Optical Society of America

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