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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)

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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

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

Xueming Liu and Byoungho Lee, "Effective shooting algorithm and its application to fiber amplifiers," Opt. Express 11, 1452-1461 (2003)

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  1. T. Mizuochi, K. Kinjo, S. Kajiya, T. Tokura, and K. Motoshima, ???Bidirectional unrepeatered 43 Gb/s WDM transmission with C/L band-separated Raman amplification,??? J. Lightwave Technol. 20, 2079???2085 (2002). [CrossRef]
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  18. V. E. Perlin and H. G. Winful, ???Optimal design of flat-gain wide-band fiber Raman amplifiers,??? J. Lightwave Technol. 20, 250???254 (2002). [CrossRef]
  19. X. M. Liu and B. Lee, ???A series of fast and accurate algorithms and their applications in fiber transmission systems,??? (submitted to IEEE J. Quantum Electron.)

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