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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 29, Iss. 1 — Jan. 1, 2012
  • pp: 8–14

Efficient and robust shooting algorithm for numerical design of bidirectionally pumped Raman fiber amplifiers

Hai Ming Jiang and Kang Xie  »View Author Affiliations


JOSA B, Vol. 29, Issue 1, pp. 8-14 (2012)
http://dx.doi.org/10.1364/JOSAB.29.000008


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Abstract

An efficient and robust shooting algorithm for the design of bidirectionally pumped Raman fiber amplifiers is proposed. First, a parameter S , new to our knowledge, called scaling vector, is introduced. This parameter is used in combination with the physical picture of stimulated Raman scattering to generate accurate initial guesses for the powers of backward pumps in the bidirectionally pumped Raman fiber amplifiers. Second, a modified Newton–Raphson method is developed. With an appropriate restriction for the adjustment of increments of initial guess attached, the modified Newton–Raphson method is used to correct the initial guesses to approach the true solution of the problem. By combining the method of initial value determination and the correction mechanism, 14 types of bidirectionally pumped Raman fiber amplifiers are designed. The simulation results show that the proposed shooting algorithm is more efficient and stable than most of the existing ones. Comparison with three other relevant methods reported in the literature is made to reveal the advantages of the new method.

© 2011 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(060.2330) Fiber optics and optical communications : Fiber optics communications
(290.5910) Scattering : Scattering, stimulated Raman
(230.4480) Optical devices : Optical amplifiers

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: July 8, 2011
Revised Manuscript: October 12, 2011
Manuscript Accepted: October 17, 2011
Published: December 9, 2011

Citation
Hai Ming Jiang and Kang Xie, "Efficient and robust shooting algorithm for numerical design of bidirectionally pumped Raman fiber amplifiers," J. Opt. Soc. Am. B 29, 8-14 (2012)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-29-1-8

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