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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 12, Iss. 7 — Jul. 1, 1995
  • pp: 1279–1286

Pulse generation in birefringent optical fibers by four-wave mixing and Raman scattering

R. Schulz and H. Harde  »View Author Affiliations

JOSA B, Vol. 12, Issue 7, pp. 1279-1286 (1995)

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Pulse generation in birefringent fibers by four-wave mixing in the presence of Raman scattering is theoretically modeled by a set of coupled nonlinear Schrödinger equations that are solved numerically. We discuss phase matching in the positive group-velocity dispersion regime for the split-pump configuration, which places the parametric frequency shift within the Raman band, and derive the combined initial gain. It is found that for shorter fiber lengths the symmetry-breaking roles of Raman–Stokes gain and Raman–anti-Stokes loss is balanced by four-wave mixing, resulting in a common effective power gain for both components. The importance of the relative phase of the four participating pulses as a switching parameter for the direction of the energy flow is demonstrated. It is further shown that, as a result of pulse walk-off, Raman scattering becomes the dominant process for longer fiber lengths. Theoretical results are compared with experimental cross-correlation pulse shapes.

© 1995 Optical Society of America

R. Schulz and H. Harde, "Pulse generation in birefringent optical fibers by four-wave mixing and Raman scattering," J. Opt. Soc. Am. B 12, 1279-1286 (1995)

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  1. G. P. Agrawal, Nonlinear Fiber Optics (Quantum Electronics—Principles and Applications), (Academic, San Diego, 1989).
  2. R. H. Stolen, Ch. Lin, and R. K. Jain, "A time-dispersion tuned fiber Raman oscillator," Appl. Phys. Lett. 30, 341 (1977). [CrossRef]
  3. M. N. Islam, L. F. Mollenauer, and R. H. Stolen, "Amplifier/compressor fiber Raman lasers," Opt. Lett. 12, 814 (1987). [CrossRef] [PubMed]
  4. R. H. Stolen, "Phase matching in birefringent fibers," Opt. Lett. 6, 213 (1981). [CrossRef] [PubMed]
  5. J. K. Chee and J. M. Liu, "Polarization-dependent parametric and Raman processes in a birefringent optical fiber," IEEE J. Quantum Electron. 26, 541 (1990). [CrossRef]
  6. M. Kuckartz, R. Schulz, and H. Harde, "Operation of a fibergrating compressor in the Raman regime," J. Opt. Soc. Am. B 5, 1353 (1988). [CrossRef]
  7. M. Kuckartz, R. Schulz, and H. Harde, "Nonlinear propagation effects in birefringent fibers," in Nonlinear Optical Materials, G. Roosen, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 1017, 234 (1988). [CrossRef]
  8. R. W. Hellwarth, "Third order optical susceptibilities of liquids and solids," Prog. Quantum Electron. 5, 1 (1977). [CrossRef]
  9. M. Kuckartz, R. Schulz, and H. Harde, "Theoretical and experimental studies of combined self-phase modulation and stimulated Raman scattering in single-mode fibers," Opt. Quantum Electron. 19, 237 (1987). [CrossRef]
  10. D. Schadt, B. Jaskorzynska, and U. Österberg, "Numerical study on combined stimulated Raman scattering and selfphase modulation in optical fibers influenced by walk-off between pump and Stokes pulses," J. Opt. Soc. Am. B 3, 1057 (1986). [CrossRef]
  11. R. H. Stolen and J. E. Bjorkholm, "Parametric amplification and frequency conversion in optical fibers," IEEE J. Quantum Electron. QE-18, 1062 (1982). [CrossRef]
  12. A. Vatarescu, "Light conversion in nonlinear monomode optical fibers," IEEE J. Lightwave Technol. LT-5, 6 (1987).
  13. H. G. Park, J. D. Park, and S. S. Lee, "Pump-intensity-dependent frequency shift in Stokes and anti-Stokes spectra generated by stimulated four-photon mixing in birefringent fiber," Appl. Opt. 26, 2974 (1987). [CrossRef] [PubMed]
  14. K. Tai, A. Hasegawa, and A. Tomita, "Observation of modulational instability in optical fibers," Phys. Rev. Lett. 56, 135 (1986). [CrossRef] [PubMed]
  15. P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, and J. D. Harvey, "Cross-phase modulational instability in high-birefringence fibers," Opt. Commun. 78, 137 (1990). [CrossRef]
  16. J. E. Rothenberg, "Modulational instability for normal dispersion," Phys. Rev. A 42, 682 (1990). [CrossRef] [PubMed]
  17. Yijiang Chen, "Combined process of stimulated Raman scattering and four-wave-mixing in optical fibers," J. Opt. Soc. Am. B 7, 43 (1990). [CrossRef]
  18. E. Golovchenko, P. V. Mamyshev, A. N. Pilipetskii, and E. M. Dianov, "Mutual influence of the parametric effects and stimulated Raman scattering in optical fibers," IEEE J. Quantum Electron. 26, 1815 (1990). [CrossRef]
  19. J. K. Chee and J. M. Liu, "Raman-assisted parametric frequency and polarization conversion in a birefringent fiber," Opt. Lett. 14, 820 (1989). [CrossRef] [PubMed]
  20. E. Golovchenko and A. N. Pilipetskii, "Theoretical analysis of spectrum generation by modulational instability and Raman amplification in high-birefringent fibers," Sov. Lightwave Commun. 1, 271 (1991).
  21. S. Trillo and S. Wabnitz, "Parametric and Raman amplification in birefringent fibers," J. Opt. Soc. Am. B 9, 1061 (1992). [CrossRef]
  22. A. Hasegawa, Optical Solitons in Fibers, Vol. 116 of Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 1989). [CrossRef]
  23. R. K. Jain and K. Stenersen, "Phase-matched four-photon mixing processes in birefringent fibers," Appl. Phys. B 35, 49 (1984). [CrossRef]
  24. R. Hellwarth, J. Cherlow, and T. Yang, "Origin and frequency dependence of nonlinear optical susceptibilities of glasses," Phys. Rev. B 11, 964 (1975). [CrossRef]
  25. R. H. Stolen and E. P. Ippen, "Raman gain in glass optical fibers," Appl. Phys. Lett. 22, 276 (1973). [CrossRef]
  26. A. R. Chraplyvy, D. Marcuse, and D. S. Henry, "Carrierinduced phase noise in angle-modulated optical-fiber systems," IEEE J. Lightwave Technol. LT-2, 6 (1984). [CrossRef]
  27. J. K. Chee and J. M. Liu, "Compression of Stokes pulses generated through a parametric four-photon mixing process in a birefringent fiber," Opt. Lett. 14, 1074 (1989). [CrossRef] [PubMed]
  28. S. Schulz, M. Kuckartz, and H. Harde, "A fiber grating Raman laser generating subpicosecond pulses," Opt. Commun. 70, 239 (1989). [CrossRef]
  29. J. Mostowski and M. G. Raymer, "The buildup of stimulated Raman scattering from spontaneous Raman scattering," Opt. Commun. 36, 237 (1981). [CrossRef]
  30. M. G. Raymer and J. Mostowski, "Stimulated Raman scattering: unified treatment of spontaneous initiation and spatial propagation," Phys. Rev. A 24, 1980 (1981). [CrossRef]
  31. J. Auyeung and A. Yariv, "Spontaneous and stimulated Raman scattering in long low loss fibers," IEEE J. Quantum Electron. QE-14, 347 (1978). [CrossRef]
  32. Neglect of the XPM terms should not cause any major changes for the calculated pulse profiles or the energy conversion. Only some smaller deviations in the U-shaped region of the pump and in the wings of the Stokes pulse may be expected.
  33. The development and the evolution of the chirps and the compressibility of the pulses will be the subject of a future paper.

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