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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 8 — Apr. 19, 2004
  • pp: 1656–1664

Stiffness analysis in the numerical solution of Raman amplifier propagation equations

Song Hu, Hanyi Zhang, and Yili Guo  »View Author Affiliations


Optics Express, Vol. 12, Issue 8, pp. 1656-1664 (2004)
http://dx.doi.org/10.1364/OPEX.12.001656


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Abstract

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.

© 2004 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators

ToC Category:
Research Papers

History
Original Manuscript: February 23, 2004
Revised Manuscript: March 27, 2004
Published: April 19, 2004

Citation
Song Hu, Hanyi Zhang, and Yili Guo, "Stiffness analysis in the numerical solution of Raman amplifier propagation equations," Opt. Express 12, 1656-1664 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-8-1656


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References

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