A General Power-Series Expansion Method for Exact Analysis of the Guided Modes in an Optical Fiber

Richard Lundin

Research output: Contribution to journalArticlepeer-review

Abstract

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 the distance between successive expansion points. The characteristic equation and the cutoff conditions are expressed in a unified manner as a set of functions. The method presented is competitive in terms of accuracy achieved and computing time required.
Original languageEnglish
Pages (from-to)1617-1625
JournalJournal of Lightwave Technology
Volume4
Issue number11
Publication statusPublished - 1986

Subject classification (UKÄ)

  • Electrical Engineering, Electronic Engineering, Information Engineering

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