Abstract

Simple algebraic expressions are derived to approximate the optimal input RMS pulse width and the resulting output RMS pulse width in single-mode fibers. The results are compared with the previously published methods and with numerical results by the split-step Fourier method. In addition, for a transform-limited Gaussian input pulse, it is shown that there is no optimum input pulse width to minimize the output spectrum width. Finally, with fiber nonlinearity, it is shown mathematically that there is not an optimum input pulse width to minimize the product,<TEX>${\sigma}_t{\sigma}_{\omega}$</TEX>, which is inversely proportional to the transmission capacity of WDM systems.

© 2003 Optical Society of Korea

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References

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  1. G. P. Agrawal, Fiber-Optic Communication Systems, Second Ed., (John Wiley & Sons, Inc. New York, 1997), Chapter 2
  2. S. C. Pinault and M. J. Potasek, "Frequency broadening by self-phase modulation in optical fibers," Journal of Optical Society of America, B, vol. 2, no. 8, pp. 1318-1319, 1985
    [Crossref]
  3. M. J. Potasek, G. P. Agrawal and S. C. Pinault, "Analytical and numerical study of pulse broadening in nonlinear dispersive optical fibers," Journal of Optical Society of America, B, vol. 3, no. 2, pp. 205-211, 1986
    [Crossref]
  4. M. Brandt-Pearce, I. Jacobs, J. H. Lee, and J. K. Shaw, "Variational analysis of optimal pulse widths in dispersive nonlinear fibers," Conference on Lasers and Electro-Optics, pp. 436-437, 1999
    [Crossref]
  5. M. Brandt-Pearce, I. Jacobs, J. H. Lee, and J. K. Shaw, "Optimal input Gaussian pulse width for transmission in dispersive nonlinear fibers," Journal of Optical Society of America, B, vol. 16, no. 8, pp. 1189-1196, 1999
    [Crossref]
  6. I. Jacobs, J. H. Lee, and J. K. Shaw, "Spectral asymptotics of nonlinear pulse propagation in fibers," ICAPT, 1998
  7. G. P. Agrawal, Nonlinear Fiber Optics, Second Ed., (Academic Press, San Diego, 1995), Chapter 3

1999 (2)

M. Brandt-Pearce, I. Jacobs, J. H. Lee, and J. K. Shaw, "Variational analysis of optimal pulse widths in dispersive nonlinear fibers," Conference on Lasers and Electro-Optics, pp. 436-437, 1999
[Crossref]

M. Brandt-Pearce, I. Jacobs, J. H. Lee, and J. K. Shaw, "Optimal input Gaussian pulse width for transmission in dispersive nonlinear fibers," Journal of Optical Society of America, B, vol. 16, no. 8, pp. 1189-1196, 1999
[Crossref]

1998 (1)

I. Jacobs, J. H. Lee, and J. K. Shaw, "Spectral asymptotics of nonlinear pulse propagation in fibers," ICAPT, 1998

1997 (1)

G. P. Agrawal, Fiber-Optic Communication Systems, Second Ed., (John Wiley & Sons, Inc. New York, 1997), Chapter 2

1995 (1)

G. P. Agrawal, Nonlinear Fiber Optics, Second Ed., (Academic Press, San Diego, 1995), Chapter 3

1986 (1)

M. J. Potasek, G. P. Agrawal and S. C. Pinault, "Analytical and numerical study of pulse broadening in nonlinear dispersive optical fibers," Journal of Optical Society of America, B, vol. 3, no. 2, pp. 205-211, 1986
[Crossref]

1985 (1)

S. C. Pinault and M. J. Potasek, "Frequency broadening by self-phase modulation in optical fibers," Journal of Optical Society of America, B, vol. 2, no. 8, pp. 1318-1319, 1985
[Crossref]

ICAPT (1)

I. Jacobs, J. H. Lee, and J. K. Shaw, "Spectral asymptotics of nonlinear pulse propagation in fibers," ICAPT, 1998

Journal of Optical Society of America B (3)

S. C. Pinault and M. J. Potasek, "Frequency broadening by self-phase modulation in optical fibers," Journal of Optical Society of America, B, vol. 2, no. 8, pp. 1318-1319, 1985
[Crossref]

M. J. Potasek, G. P. Agrawal and S. C. Pinault, "Analytical and numerical study of pulse broadening in nonlinear dispersive optical fibers," Journal of Optical Society of America, B, vol. 3, no. 2, pp. 205-211, 1986
[Crossref]

M. Brandt-Pearce, I. Jacobs, J. H. Lee, and J. K. Shaw, "Optimal input Gaussian pulse width for transmission in dispersive nonlinear fibers," Journal of Optical Society of America, B, vol. 16, no. 8, pp. 1189-1196, 1999
[Crossref]

Lasers and Electro-Optics, 1999. CLEO '99. Summaries of Papers Presented at the Conference on (1)

M. Brandt-Pearce, I. Jacobs, J. H. Lee, and J. K. Shaw, "Variational analysis of optimal pulse widths in dispersive nonlinear fibers," Conference on Lasers and Electro-Optics, pp. 436-437, 1999
[Crossref]

Other (2)

G. P. Agrawal, Fiber-Optic Communication Systems, Second Ed., (John Wiley & Sons, Inc. New York, 1997), Chapter 2

G. P. Agrawal, Nonlinear Fiber Optics, Second Ed., (Academic Press, San Diego, 1995), Chapter 3

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