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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 12 — Jun. 16, 2003
  • pp: 1452–1461

Effective shooting algorithm and its application to fiber amplifiers

Xueming Liu and Byoungho Lee  »View Author Affiliations


Optics Express, Vol. 11, Issue 12, pp. 1452-1461 (2003)
http://dx.doi.org/10.1364/OE.11.001452


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Abstract

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.

© 2003 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: May 5, 2003
Revised Manuscript: May 29, 2003
Published: June 16, 2003

Citation
Xueming Liu and Byoungho Lee, "Effective shooting algorithm and its application to fiber amplifiers," Opt. Express 11, 1452-1461 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-12-1452


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References

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