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Nonlinear wave propagation in optical fibres

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Abstract

A generalised mathematical theory leading to the evolution equation of nonlinear pulses propagating in an optical fibre waveguide is presented. The magnitudes of the optical self-steepening and third-order dispersion coefficients are calculated and their relative importance is assessed. The possibility of self-steepening is carefully examined and represented on a pulse-displacement-distance parameter diagram. It is concluded, for specimen single mode fibre data, that, even for a 1% deviation from zero group dispersion, the shock term interacts with the group dispersion to produce a pulse distortion in the form of a velocity change limited by the group dispersion rather than selfsteepening. Also, for such a fibre, self-steepening is so small that vast runs down the fibre are required for it to be seen. Any observation of self-steepening in fibres will require much closer tuning to zero group dispersion and will need the suppression of the third-order term.

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Authors and Affiliations

  1. Department of Physics, University of Salford, M5 4WT, Salford, UK

    A. D. Boardman & G. S. Cooper

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  1. A. D. Boardman
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  2. G. S. Cooper
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Boardman, A.D., Cooper, G.S. Nonlinear wave propagation in optical fibres. Appl. Sci. Res. 41, 333–343 (1984). https://doi.org/10.1007/BF00382466

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  • DOI: https://doi.org/10.1007/BF00382466

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