## 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

Acrobat PDF (154 KB)

### 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

Sort: Year | Journal | Reset

### 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).
- 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).
- 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).
- 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).
- G. P. Agrawal, “Effect of intrapulse stimulated Raman scattering on soliton-effect pulse compression in optical fibers,” Opt. Lett. 15, 224–226 (1990).
- 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).
- 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).
- 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).
- P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965).
- 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).
- 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).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

OSA is a member of CrossRef.