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

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

http://dx.doi.org/10.1364/JOSAB.19.001961

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### Abstract

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

**Citation**

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)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-9-1961

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### References

- For a review of this topic, see G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, 1995).
- 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]
- E. M. Dianov, Z. S. Nikonova, A. M. Prokhorov, and A. A. Podshivalov, “Optimal compression of multi-soliton pulses,” Sov. Tech. Phys. Lett. 12, 311–313 (1986).
- M. J. Potasek, G. P. Agrawal, and S. C. Pinault, “Analytic and numerical study of pulse broadening in nonlinear dispersive fibers,” J. Opt. Soc. Am. B 3, 205–211 (1986). [CrossRef]
- P. L. Kelley, “The nonlinear index of refraction and self-action effects in optical propagation,” IEEE J. Sel. Top. Quantum Electron. 6, 1259–1264 (2000). [CrossRef]
- S. A. Akhmanov, R. V. Khokhlov, and A. P. Sukhorukov, “Self-focusing, self-defocusing, and self-modulation of laser beams,” in Laser Handbook, F. T. Arecchi and E. O. Schulz-Dubois, eds. (North-Holland, Amsterdam, 1972), Vol. 2, pp. 1151–1228.
- O. Svelto, “Self-focusing, self-trapping, and self-phase-modulation of light beams,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1972), Vol. 12, pp. 1–51.
- J. H. Marburger, “Self-focusing: theory,” in Progress in Quantum Electronics, J. H. Sanders and S. Stenholm, eds. (Pergamon, New York, 1974), Vol. 4, pp. 35–110.
- Y. Silberberg, “Collapse of optical pulses,” Opt. Lett. 15, 1282–1285 (1990). [CrossRef] [PubMed]
- G. P. Agrawal, “Effect of intrapulse stimulated Raman scattering on soliton-effect pulse compression in optical fibers,” Opt. Lett. 15, 224–226 (1990). [CrossRef] [PubMed]
- 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]
- 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]
- 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]
- P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965). [CrossRef]
- 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).
- 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]
- M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Industrial and Applied Mathematics, Philadelphia, 1981).
- G. L. Lamb, Jr., Elements of Soliton Theory (Wiley, New York, 1981).
- 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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