A General Power-Series Expansion Method for Exact Analysis of the Guided Modes in an Optical Fiber
A power-series expansion method for rigorous analysis of the guided modes in a cylindrical, radially inhomogeneous, dielectric waveguide is presented. The method is developed for an arbitrary piece-wise polynomial permittivity profile. The field solutions of the inhomogeneous core are constructed by a sequence of power-series expansions. Convergence is ensured and accuracy maintained by regulating