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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 8, Iss. 2 — Feb. 1, 1991
  • pp: 276–293

Nonlinear propagation of ultrashort pulses in optical fibers: total field formulation in the frequency domain

Pierre Luc François  »View Author Affiliations


JOSA B, Vol. 8, Issue 2, pp. 276-293 (1991)
http://dx.doi.org/10.1364/JOSAB.8.000276


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Abstract

The common practice is to derive in the time domain the equations for the nonlinear propagation of ultrashort pulses and to solve them by the split-step Fourier method. When fields at different frequencies propagate and interact in a fiber, it is also usual to write a distinct equation for each of these fields. This implicitly assumes that the spectra of these various fields do not overlap, which may no longer be the case for femtosecond pulses. It then becomes necessary to consider the propagation of the total field as a whole. Moreover, for such broad field spectra the dispersion of higher orders must be taken into account, which can be dealt with in the frequency domain without any difficulty. It is shown that writing the equations for the total field presents many advantages, and an alternative to the split-step Fourier method is proposed, based on an integration rule of higher order.

© 1991 Optical Society of America

History
Original Manuscript: August 21, 1989
Manuscript Accepted: May 9, 1990
Published: February 1, 1991

Citation
Pierre Luc François, "Nonlinear propagation of ultrashort pulses in optical fibers: total field formulation in the frequency domain," J. Opt. Soc. Am. B 8, 276-293 (1991)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-8-2-276

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