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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 19 — Sep. 19, 2005
  • pp: 7653–7665

Collisions between similaritons in optical fiber amplifiers

C. Finot and G. Millot  »View Author Affiliations

Optics Express, Vol. 13, Issue 19, pp. 7653-7665 (2005)

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We consider the self-similar amplification of two optical pulses of different wavelengths in order to investigate the effects of a collision between two similaritons. We theoretically demonstrate that similaritons are stable against collisions in a Raman amplifier: similaritons evolve separately in the amplifier without modification of the scaling of their temporal width and chirp and by conserving their velocities, only interact during their overlap and regain their parabolic form after collision. We show both theoretically and experimentally that the collision of two similaritons induces a sinusoidal modulation inside the overlap region, whose frequency decreases during the interaction. Theoretical and experimental studies of the pulse spectrum evidence that similaritons interact with each other through cross phase modulation.

© 2005 Optical Society of America

OCIS Codes
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(320.5540) Ultrafast optics : Pulse shaping

ToC Category:
Research Papers

Original Manuscript: August 22, 2005
Revised Manuscript: September 11, 2005
Published: September 19, 2005

C. Finot and G. Millot, "Collisions between similaritons in optical fiber amplifiers," Opt. Express 13, 7653-7665 (2005)

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  1. K. Tamura and M. Nakazawa, "Pulse compression by nonlinear pulse evolution with reduced optical wave breaking in erbium-doped fiber amplifiers," Opt. Lett. 21, 68-70 (1996). [CrossRef] [PubMed]
  2. M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-Similar Propagation and Amplification of Parabolic Pulses in Optical Fibers," Phys. Rev. Lett. 84, 6010-6013 (2000). [CrossRef] [PubMed]
  3. V.I. Kruglov, A.C. Peacock, J.M. Dudley, and J.D. Harvey, "Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers," Opt. Lett. 25, 1753-1755 (2000). [CrossRef]
  4. V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, "Self Similar Propagation of parabolic pulses in normal-dispersion fiber amplifiers," J. Opt. Soc. Amer. B 19, 461-469 (2002). [CrossRef]
  5. S. Boscolo, S.K. Turitsyn, V.Y. Novokshenov, and J.H.B. Nijhof, "Self-similar parabolic optical solitary waves," Theor. Math. Phys. 133, 1647-1656 (2002). [CrossRef]
  6. A.C. Peacock, R.J. Kruhlak, J.D. Harvey, and J.M. Dudley, "Solitary pulse propagation in high gain optical fiber amplifiers with normal group velocity dispersion," Opt. Commun. 206, 171-177 (2002). [CrossRef]
  7. C. Finot, G. Millot, C. Billet, and J.M. Dudley, "Experimental generation of parabolic pulses via Raman amplification in optical fiber," Opt. Express 11, 1547-1552 (2003), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-13-1547">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-13-1547</a>. [CrossRef] [PubMed]
  8. A.C. Peacock, N.G.R. Broderick, and T.M. Monro, "Numerical study of parabolic pulse generation in microstructured fibre Raman amplifiers," Opt. Commun. 218, 167-172 (2003). [CrossRef]
  9. V.I. Kruglov, D. Méchin, and J.D. Harvey, "Self-similar solutions of the generalized Schrödinger equation with distributed coefficients," Opt. Express 12, 6198-6207 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-25-6198">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-25-6198</a>. [CrossRef] [PubMed]
  10. V.I. Kruglov, A.C. Peacock, and J.D. Harvey, "Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients," Phys. Rev. Lett. 90, 113902 (2004). [CrossRef]
  11. C. Finot, G. Millot, and J. M. Dudley, "Asymptotic characteristics of parabolic similariton pulses in optical fiber amplifiers," Opt. Lett. 29, 2533-2535 (2004). [CrossRef] [PubMed]
  12. C. Finot, S. Pitois, G. Millot, C. Billet, and J.M. Dudley, "Numerical and experimental study of parabolic pulses generated via Raman amplification in standard optical fibers," IEEE J. Sel. Top. Quantum Electron. 10, 1211-1218 (2004 [CrossRef]
  13. G. Chang, A. Galvanauska, H.G. Winful, and T.B. Norris, "Dependence of parabolic pulse amplification on stimulated Raman scattering and gain bandwith," Opt. Lett. 29, 2647-2649 (2004). [CrossRef] [PubMed]
  14. T. Hirooka and M. Nakazawa, "Parabolic pulse generation by use of a dispersion-decreasing fiber with normal group-velocity dispersion," Opt. Lett. 29, 498-500 (2004). [CrossRef] [PubMed]
  15. S. Chen and L. Yi, "Chirped self-similar solutions of a generalized nonlinear Schrödinger equatin model," Phys. Rev. E 71, 016606 (2005). [CrossRef]
  16. C. Finot, "Influence of the pumping configuration on the generation of optical similaritons in optical fibers," Opt. Comm. 249, 553-561 (2005). [CrossRef]
  17. C. Billet, J.M. Dudley, N. Joly, and J.C. Knight, "Intermediate asymptotic evolution and photonic bandgap fiber compression of optical similaritons around 1550 nm," Opt. Express 13, 3236-3241 (2005), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-9-3236">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-9-3236</a>. [CrossRef] [PubMed]
  18. D. Anderson, M. Desaix, M. Karlson, M. Lisak, and M. L. Quiroga-Teixeiro, "Wave-breaking-free pulses in nonlinear optical fibers," J. Opt. Soc. Am. B 10, 1185-1190 (1993). [CrossRef]
  19. J. H. V. Price, W. Belardi, T. M. Monro, A. Malinowski, A. Piper, and D. J. Richardson, "Soliton transmission and supercontinuum generation in holey fiber, using a diode pumped Ytterbium fiber source,�?? Opt. Express 10, 382-387 (2002), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-8-382">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-8-382</a> [PubMed]
  20. J. Limpert, T. Schreiber, T. Clausnitzer, K. Zöllner, H. -J. Fuchs, E. -B Bley, H. Zellmer, and A. Tünnermann, �??High Power femtosecond Yb-doped fiber amplifier,�?? Opt. Express 10, 628-638 (2002), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-14-628">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-14-628</a> [PubMed]
  21. A. Malinowski, A. Piper, J. H. V. Price, K. Furusawa, Y. Jeong, J. Nilsson, and D. J. Richardson, "Ultrashort-pulse Yb3+ fiber based laser and amplifier system producing > 25 W average power," Opt. Lett. 29, 2073-2075 (2004). [CrossRef] [PubMed]
  22. F. �?. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, "Self-similar evolution of parabolic pulses in a laser," Phys. Rev. Lett. 92, 213902 (2004). [CrossRef] [PubMed]
  23. C. Finot and G. Millot, "Synthesis of optical pulses by use of similaritons," Opt. Express 12, 5104-5109 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-21-5104">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-21-5104</a>. [CrossRef] [PubMed]
  24. Y. Ozeki, Y. Takushima, K. Aiso, K. Taira, and K. Kikuchi, "Generation of 10 GHz similariton pulse trains from 1,2 km-long erbium-doped fibre amplifier for application to multi-wavelength pulse sources," Electron. Lett. 40, 1103-1104 (2004). [CrossRef]
  25. C. Finot, S. Pitois, and G. Millot, "Regenerative 40-Gb/s wavelength converter based on similariton generation," Opt. Lett. 29, 1776-1778 (2005). [CrossRef]
  26. C. Finot and G. Millot, "Interaction between optical parabolic pulses in a Raman fiber amplifier," Opt. Express 13, 5825-5830 (2005), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-15-5825">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-15-5825</a>. [CrossRef] [PubMed]
  27. G.P. Agrawal, Nonlinear Fiber Optics, Third Edition, 2001, San Francisco, CA : Academic Press.
  28. J.W. Nicholson, A. Yablon, P.S. Westbrook, K.S. Feder, and M.F. Yan, "High power, single mode, all-fiber source of femtosecond pulses at 1550 nm and its use in supercontinuum generation," Opt. Express 12, 3025-3034 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-13-3025">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-13-3025</a>. [CrossRef] [PubMed]

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