Open AccessEffective shooting algorithm and its application to fiber amplifiers
Author(s) -
Xueming Liu,
Byoungho Lee
Publication year - 2003
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.11.001452
Subject(s) - shooting method , computer science , algorithm , runge–kutta methods , boundary value problem , optical amplifier , amplifier , optics , figure of merit , point (geometry) , numerical analysis , mathematics , physics , telecommunications , mathematical analysis , laser , geometry , bandwidth (computing)
A series of new methods based on the Runge-Kutta (RK) formula are proposed, which not only retain the merit of RK methods, in that the adaptive stepsize is easily implemented, but also dramatically decrease the error under the same conditions. Based on the new methods, an effective shooting algorithm is also proposed. A two-point boundary value problem for the Raman amplifier propagation equations is solved using the proposed algorithm. Our algorithm markedly increases the simulating speed for Raman amplifier propagation equations, as well as improves the accuracy, compared to the traditional algorithm.