Abstract: | An analytical theory of cylindrical low-contrast Bragg optical waveguides, i.e., Bragg fibers, was developed on the basis of the representation of thin diffuse layers by delta functions. A dispersion relation for the Bragg optical waveguide with a finite number of layers was derived in the scalar approximation. Mode fields and losses were numerically calculated for a fiber with parameters close to those of actual fiber known from the literature. A comparison with the planar model was performed, which showed significant qualitative similarity. The presented model of Bragg fibers is more realistic than the model with sharp layer boundaries. |