OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 4 — Feb. 23, 2004
  • pp: 545–550

Powerful solution for simulating nonlinear coupled equations describing bidirectionally pumped broadband Raman amplifiers

Xueming Liu  »View Author Affiliations


Optics Express, Vol. 12, Issue 4, pp. 545-550 (2004)
http://dx.doi.org/10.1364/OPEX.12.000545


View Full Text Article

Enhanced HTML    Acrobat PDF (198 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A mid-point shooting algorithm using the Newton–Raphson method is adopted for solving nonlinear coupled equations describing bidirectionally pumped broadband Raman amplifiers. A series of novel backward-differentiation methods are constructed for the first time to our knowledge. Their combination can form a powerful solution for fiber amplifiers. Numerical results show that the approach can solve Raman amplifier propagation equations on various conditions including co-, counter-, and bidirectionally pumped cases. The computation speed of the present methods is about four times that of the backward-differentiation methods previously adopted.

© 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: December 22, 2003
Revised Manuscript: February 1, 2004
Published: February 23, 2004

Citation
Xueming Liu, "Powerful solution for simulating nonlinear coupled equations describing bidirectionally pumped broadband Raman amplifiers," Opt. Express 12, 545-550 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-4-545


Sort:  Journal  |  Reset  

References

  1. M. Tang, P. Shum, and Y. D. Gong, �??Design of double-pass discrete Raman amplifier and the impairments induced by Rayleigh backscattering,�?? Opt. Express 11, 1887�??1893 (2003), <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-16-1887">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-16-1887</a> [CrossRef] [PubMed]
  2. H. H. Lee et al., �??A gain-clamped-semiconductor-optical-amplifier combined with a distributed Raman-fiber-amplifier: a good candidate as an inline amplifier for WDM networks,�?? Opt. Commun. 229, 249�??252 (2004). [CrossRef]
  3. X. M. Liu and Y. H. Li, �??Optimizing the bandwidth and noise performance of distributed multi-pump Raman amplifiers,�?? Opt. Commun. 230, 425�??431 (2004) [CrossRef]
  4. H. Suzuki, N. Takachio, H. Masuda, and K. Iwatsuki, �??Super-dense WDM transmission technology in the zero-dispersion region employing distributed Raman amplification,�?? J. Lightwave Technol. 21, 973�??981 (2003). [CrossRef]
  5. A. Pizzinat, M. Santagiustina, and C. Schivo, �??Impact of hybrid EDFA-distributed Raman amplification on a 4 x 40-Gb/s WDM optical communication system,�?? IEEE Photon. Technol. Lett. 15, 341�??343 (2003). [CrossRef]
  6. A. A. B. Tio, P. Shum, and Y. D. Gong, �??Wide bandwidth flat gain Raman amplifier by using polarization-independent interferometric filter,�?? Opt. Express 11, 2991�??2996 (2003),<a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-23-2991"> http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-23-2991</a> [CrossRef] [PubMed]
  7. C. R. S. Fludger and V. Handerek, �??Fundamental noise limits in broadband Raman amplifiers,�?? in Optical Fiber Communication Conference (OFC 2000), Vol. 37 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D. C., 2000), paper MA-5
  8. Y. Chen et al., �??Bi-directionally pumped broadband Raman Amplifier,�?? ECOC�??2001, Tu.L.3.4.
  9. Z. Tong, H. Wei, and S. S. Jian, �??Theoretical investigation and optimization of bi-directionally pumped broadband fiber Raman amplifiers,�?? Opt. Commun. 217, 401�??413 (2003). [CrossRef]
  10. X. M. Liu and B. Lee, �??Effective shooting algorithm and its application to fiber amplifiers,�?? Opt. Express 11, 1452�??1461 (2003), <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-12-1452">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-12-1452</a> [CrossRef] [PubMed]
  11. X. M. Liu and B. Lee, �??A fast and stable method for Raman amplifier propagation equations,�?? Opt. Express 11, 2163�??2176 (2003), <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-18-2163"> http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-18-2163</a> [CrossRef] [PubMed]
  12. S. Namiki and Y. Emori, �??Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high power laser diodes,�?? IEEE J. Sel. Top. Quantum Electron. 7, 3�??16 (2001). [CrossRef]
  13. X. M. Liu, H. Y. Zhang, and Y. L. Guo, �??A novel method for Raman amplifier propagation equations,�?? IEEE Photon. Technol. Lett. 15, 392�??394 (2003). [CrossRef]
  14. X. M. Liu, �??Corrections to: a novel method for Raman amplifier propagation equations,�?? IEEE Photon. Technol. Lett. 15, 1321�??1321 (2003). [CrossRef]
  15. <a href= "http://www.nr.com.">http://www.nr.com</a>
  16. H. B. Keller, Numerical Methods for Two-Point Boundary-Value Problems (Blaisdell, Waltham, Mass., 1968) pp. 192.
  17. Y. Zhu et al., �??Experimental comparison of all-Raman and Raman/EDFA hybrid amplifications using 40 Gbit/s-based transmissions over 400 km TW-RS fibre,�?? Electron. Lett. 38, 893�??895 (2002). [CrossRef]
  18. J. Ko, S. Kim, J. Lee, S. Won, Y. S. Kim, and J. Jeong, �??Estimation of performance degradation of bidirectional WDM transmission systems due to Rayleigh backscattering and ASE noises using numerical and analytical models,�?? J. Lightwave Technol. 21, 938�??946 (2003). [CrossRef]
  19. P. Parolari, L. Marazzi, L. Bernardini, and M. Martinelli, �??Double Rayleigh scattering noise in lumped and distributed Raman amplifiers,�?? J. Lightwave Technol. 21, 2224�??2228 (2003). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited