Abstract

We present general properties and useful formulas of hybrid modes in a Bragg fiber by using an asymptotic expansion method. Electromagnetic fields, eigenvalue equations, mode designation, and cutoff are shown. Eigenvalue equations reduce to greatly simplified forms under the quarter-wave stack (QWS) condition. Results are helpful not only for analyzing various properties of the Bragg fiber but also for relating its properties to those in the usual step-index fiber, the circular metallic waveguide, and fundamental optics. It is shown that eigenvalue equations and electromagnetic fields for the Bragg fiber have a formal equivalence to those for the usual step-index fiber. Under the QWS condition the Bragg fiber is nearly the same as the circular metallic waveguide in several characteristics. Hybrid modes change their properties depending on the operation condition in the Bragg fiber. The HE11 mode is the fundamental mode.

© 2005 Optical Society of America

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