Stiffness analysis in the numerical solution of Raman amplifier propagation equations | Zendy

Song Hu | Zendy; Hanyi Zhang | Zendy; Yili Guo | Zendy

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Stiffness analysis in the numerical solution of Raman amplifier propagation equations

Author(s) -

Song Hu,

Hanyi Zhang,

Yili 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.

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