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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 8 — Aug. 1, 2006
  • pp: 1655–1659

Suppressing the frequency chirp in optical solitons using coherent effects

Dilson P. Caetano and Jandir M. Hickmann  »View Author Affiliations

JOSA B, Vol. 23, Issue 8, pp. 1655-1659 (2006)

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We report the coherent propagation of optical pulses through a three-level atomic system embedded in a nonlinear dispersive waveguide. We treat the case where an initially chirped soliton in resonance with the pump transition propagates together with a seed without chirp in resonance with the Stokes transition. It is found that the initial chirp is suppressed during the soliton frequency conversion, demonstrating the principle of a frequency converter that produces chirp-free soliton pulses. Numerical solutions of the complete equation set describing our system corroborate our analytical result.

© 2006 Optical Society of America

OCIS Codes
(190.5330) Nonlinear optics : Photorefractive optics
(270.1670) Quantum optics : Coherent optical effects

ToC Category:
Nonlinear Optics

Original Manuscript: April 13, 2006
Revised Manuscript: April 13, 2006
Manuscript Accepted: April 18, 2006

Dilson P. Caetano and Jandir M. Hickmann, "Suppressing the frequency chirp in optical solitons using coherent effects," J. Opt. Soc. Am. B 23, 1655-1659 (2006)

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  1. A. Hasegawa and F. Tappert, "Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. 1. Anomalous dispersion," Appl. Phys. Lett. 23, 142-144 (1973). [CrossRef]
  2. L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, "Experimental observation of picosecond pulse narrowing and solitons in optical fibers," Phys. Rev. Lett. 45, 1095-1098 (1980). [CrossRef]
  3. S. L. McCall and E. L. Hahn, "Self-induced transparency by pulsed coherent light," Phys. Rev. Lett. 18, 908-911 (1967). [CrossRef]
  4. S. L. McCall and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969). [CrossRef]
  5. H. M. Gibbs and R. E. Slusher, "Peak amplification and breakup of a coherent optical pulse in a simple atomic absorber," Phys. Rev. Lett. 24, 638-641 (1970). [CrossRef]
  6. A. I. Maimistov and E. A. Manykin, "Propagation of ultrashort optical pulses in resonant non-linear light guides," Zh. Eksp. Teor. Fiz. 85, 1177-1181 (1983).
  7. M. Nakazawa, F. Yamada, and H. Kubota, "Coexistence of a self-induced-transparency soliton and a nonlinear Schrödinger soliton in an erbium-doped fiber," Phys. Rev. A 44, 5973-5987 (1991). [CrossRef] [PubMed]
  8. D. P. Caetano, S. B. Cavalcanti, J. M. Hickmann, A. M. Kamchatnov, R. A. Kraenkel, and E. A. Makarova, "Soliton propagation in a medium with Kerr nonlinearity and resonant impurities: a variational approach," Phys. Rev. E 67, 046615 (2003). [CrossRef]
  9. G. Vemuri, G. S. Agarwal, and K. V. Vasavada, "Cloning, dragging, and parametric amplification of solitons in a coherently driven, nonabsorbing system," Phys. Rev. Lett. 79, 3889-3892 (1997). [CrossRef]
  10. D. P. Caetano, S. B. Cavalcanti, and J. M. Hickmann, "Coherent interaction effects in pulses propagating through a doped nonlinear dispersive medium," Phys. Rev. E 65, 036617 (2002). [CrossRef]
  11. L. Matulic and J. H. Eberly, "Analytic study of pulse chirping in self-induced transparency," Phys. Rev. A 6, 822-836 (1972). [CrossRef]
  12. J. H. Eberly, "Area theorem rederived," Opt. Express 2, 173-176 (1998). [CrossRef] [PubMed]
  13. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, 1995).
  14. V. B. Gorfinkel and S. Luryi, "High-frequency modulation and suppression of chirp in semiconductor lasers," Appl. Phys. Lett. 62, 2923-2925 (1993). [CrossRef]
  15. J. Li, P. A. Andrekson, and B. Bakhshi, "Direct generation of subpicosecond chirp-free pulses at 10 GHz from a nonpolarization maintaining actively mode-locked fiber ring laser," IEEE Photon. Technol. Lett. 12, 1150-1152 (2000). [CrossRef]
  16. N. Dokhane and G. L. Lippi, "Chirp reduction in semiconductor lasers through injection current patterning," Appl. Phys. Lett. 78, 3938-3940 (2001). [CrossRef]
  17. L. V. Hmurcik and D. J. Kaup, "Solitons created by chirped initial profiles in coherent pulse-propagation," J. Opt. Soc. Am. 69, 597-604 (1979). [CrossRef]
  18. Z. V. Lewis, "Semiclassical solutions of the Zakharov-Shabat scattering problem for phase modulated potentials," Phys. Lett. 112A, 99-103 (1985).
  19. D. J. Kaup, J. Elreedy, and B. A. Malomed, "Effect of a chirp on soliton production," Phys. Rev. E 50, 1635-1637 (1994). [CrossRef]
  20. M. Desaix, L. Helczynski, D. Anderson, and M. Lisak, "Propagation properties of chirped soliton pulses in optical nonlinear Kerr media," Phys. Rev. E 65, 056602 (2002). [CrossRef]

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