An efficient algorithm for determining the dispersion characteristics of single-mode optical fibers

Author

Lin, Hoang Yan ; Ruey-Beei Wy ; Chang, Hung-Chun

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

10

Issue

6

fYear

1992

fDate

6/1/1992 12:00:00 AM

Firstpage

705

Lastpage

711

Abstract

An efficient algorithm is proposed for calculating the dispersion characteristics of optical fibers with radially arbitrary refractive-index profiles. It is based on a variational finite-element formulation. Formulas for the derivatives of the normalized propagation constant w with respect to the normalized frequency V up to the second order are derived by using a reaction formula. These formulas contain the modal field ψ and its derivative dψ/dV. Two variational problems are then formed and solved as matrix equations by using the finite-element method. The first one is a conventional eigenvalue problem with eigen-solution {w,ψ} and dominates the computing time. The second one is a direct problem for dψ/dV and can be solved by a few simple matrix manipulations. The proposed algorithm turns out to be a rapidly convergent one and careful arrangement results in saving for both storing memory and computing time

Keywords

eigenvalues and eigenfunctions; finite element analysis; optical dispersion; optical fibres; optical waveguide theory; refractive index; variational techniques; algorithm; arbitrary refractive-index profiles; computing time; dispersion characteristics; eigen-solution; eigenvalue problem; finite-element method; matrix equations; modal field; normalized frequency; normalized propagation constant; reaction formula; second order; single-mode optical fibers; storing memory; variational finite-element formulation; Eigenvalues and eigenfunctions; Equations; Finite element methods; Frequency; Optical control; Optical design; Optical fiber dispersion; Optical fibers; Optical refraction; Propagation constant;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.143068

Filename

143068