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Chinese Optics Letters

Chinese Optics Letters

| PUBLISHED MONTHLY BY CHINESE LASER PRESS AND DISTRIBUTED BY OSA

  • Vol. 8, Iss. 1 — Jan. 1, 2010
  • pp: 89–92

Analytical self-similar solutions of the Ginzburg-Landau equation with three-order dispersion effect

Jie Feng, Wencheng Xu, Weici Liua, and Songhao Liu  »View Author Affiliations


Chinese Optics Letters, Vol. 8, Issue 1, pp. 89-92 (2010)


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Abstract

Based on the technique of the symmetry reduction, we find the asymptotic self-similarity analytical resolutions from the constant coefficient Ginzburg-Landau equation considering both influences of the third-order dispersion and gain dispersion on the evolution of pulses. We have obtained the self-similar pulse amplitude function, phase function, strict linear chirp function, and the effective temporal pulse width. Numerical simulations show qualitative agreement with these theoretical results.

© 2010 Chinese Optics Letters

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(190.4370) Nonlinear optics : Nonlinear optics, fibers

Citation
Jie Feng, Wencheng Xu, Weici Liua, and Songhao Liu, "Analytical self-similar solutions of the Ginzburg-Landau equation with three-order dispersion effect," Chin. Opt. Lett. 8, 89-92 (2010)
http://www.opticsinfobase.org/col/abstract.cfm?URI=col-8-1-89


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References

  1. V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, J. Opt. Soc. Am. B 19, 461 (2002).
  2. S. Chen, L. Yi, D.-S. Guo, and P. Lu, Phys. Rev. E 72, 016622 (2005).
  3. J. Feng, W. Xu, Q. Zhang, F. Song, J. Mo, and S. Liu, Laser & Optoelectron. Prog. (in Chines) 43, 26 (2006).
  4. S. A. Ponomarenko and G. P. Agrawal, Opt. Express. 15, 2963 (2007).
  5. A. Chong, W. H. Renninger, and F. W. Wise, Opt. Lett. 32, 2408 (2007).
  6. C. Finot, F. Parmigiani, P. Petropoulos, and D. J. Richardson, Opt. Express 14, 3161 (2006).
  7. V. I. Kruglov and J. D. Harvey, J. Opt. Soc. Am. B 23, 2541 (2006).
  8. J. Wu, D. Y. Tang, L. M. Zhao, and C. C. Chan, Phys. Rev. E 74, 046605 (2006).
  9. D. Mechin, S.-H. Im, V. I. Kruglov, and J. D. Harvey, Opt. Lett. 31, 2106 (2006).
  10. F. Parmigiani, C. Finot, K. Mukasa, M. Ibsen, M. A. F. Roelens, P. Petropoulos, and D. J. Richardson, Opt. Express 14, 7617 (2006).
  11. F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
  12. C. K. Nielsen, B. Orta»c, T. Schreiber, J. Limpert, R. Hohmuth, W. Richter, and A. Tunnermann Opt. Express 13, 9346 (2005).
  13. T. Schreiber, B. Orta»c, J. Limpert, and A. TÄunnermann Opt. Express 15, 8252 (2007).
  14. A. Chong, W. H. Renninger, and F. W. Wise, Opt. Lett. 33, 1071 (2008).
  15. J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).
  16. J. Feng, W. Xu, S. Li, and S. Liu, Science in China G51, 299 (2008).
  17. Q. Zhang, W. Xu, J. Feng, and S. Liu, Acta Photon. Sin. (in Chinese) 37, 30 (2008).
  18. W. Liu, W. Xu, J. Feng, W. Chen, S. Li, and S. Liu, Chin. Phys. B 17, 1025 (2008).
  19. Y. Sun, S. Fu, J. Wang, Z. Sun, Y. Zhang, Z. Tian, and Q. Wang, Chin. Opt. Lett. 7, 127 (2009).
  20. X. Zhong and A. Xing, Chinese J. Lasers (in Chinese) 36, 391 (2009).
  21. Y. Wang, C. Ma, X. Ying, and D. Zhang, Acta Opt. Sin. (in Chinese) 29, 632 (2009).
  22. G. P. Agrawal, Nonlinear Fiber Optics, Third Edition & Applications of Nonlinear Fiber Optics (Academic Press, Boston, 1995)

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