Open AccessStiffness analysis in the numerical solution of Raman amplifier propagation equations
Author(s) -
Song Hu,
Hanyi Zhang,
Ye Guo
Publication year - 2004
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/opex.12.001656
Subject(s) - stability (learning theory) , stiffness , optics , reliability (semiconductor) , computer simulation , numerical analysis , amplifier , numerical stability , physics , computer science , mathematical analysis , mechanics , mathematics , bandwidth (computing) , telecommunications , power (physics) , quantum mechanics , machine learning , thermodynamics
For the first time, the stiffness of Raman amplifier propagation equations is analyzed. And based on this analysis, a novel method for propagation equations is proposed to enhance the stability of numerical simulation. To verify the reliability of this method, simulation experiments are employed by using our method and the existent predictor-corrector method with comparison. The results show that our backward differentiation formulae method behaves much better in stability with a comparative accuracy.