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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 9 — Sep. 1, 2002
  • pp: 1961–1967

Nonlinear pulse compression in optical fibers: scaling laws and numerical analysis

Chia-Ming Chen and Paul L. Kelley  »View Author Affiliations

JOSA B, Vol. 19, Issue 9, pp. 1961-1967 (2002)

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With a simple model, scaling laws are obtained for self-compression in the limit of a large soliton number. Numerical results for Gaussian and hyperbolic-secant initial pulse shapes and various initial amplitudes are used to verify the approximate analytic result and to determine accurate scaling constants. Self-decompression (self-dispersion) is also treated in the same fashion.

© 2002 Optical Society of America

OCIS Codes
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5940) Nonlinear optics : Self-action effects

Chia-Ming Chen and Paul L. Kelley, "Nonlinear pulse compression in optical fibers: scaling laws and numerical analysis," J. Opt. Soc. Am. B 19, 1961-1967 (2002)

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  1. For a review of this topic, see G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, 1995).
  2. L. F. Mollenauer, R. H. Stolen, J. P. Gordon, and W. J. Tomlinson, “Extreme picosecond pulse narrowing by means of the soliton effect in single-mode optical fibers,” Opt. Lett. 8, 289–291 (1983). [CrossRef] [PubMed]
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  11. K. T. Chan and W. H. Cao, “Improved soliton-effect pulse compression by combined action of negative third-order dispersion and Raman self-scattering in optical fibers,” J. Opt. Soc. Am. B 15, 2371–2375 (1998). [CrossRef]
  12. R. A. Fisher, P. L. Kelley, and T. K. Gustafson, “Subpicosecond pulse generation using the optical Kerr effect,” Appl. Phys. Lett. 14, 140–143 (1969). [CrossRef]
  13. N. V. Akhmediev and N. V. Mitzkevich, “Extremely high degree of N-soliton pulse compression in optical fiber,” IEEE J. Quantum Electron. 27, 849–857 (1991). [CrossRef]
  14. P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965). [CrossRef]
  15. V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP 34, 62–69 (1972).
  16. J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Prog. Theor. Phys. 55, 284–306 (1974). [CrossRef]
  17. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Industrial and Applied Mathematics, Philadelphia, 1981).
  18. G. L. Lamb, Jr., Elements of Soliton Theory (Wiley, New York, 1981).
  19. J. A. C. Weideman and B. M. Herbst, “Split-step methods for the solution of the nonlinear Schrödinger equation,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 23, 485–507 (1986). [CrossRef]

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