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Ray theory of the impulse response of randomly bent multimode fibres

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Abstract

A ray theory based on the time-independent Fokker-Planck equation and the integration of time along ray trajectories provides analytical expressions for the average arrival time and spread of optical pulses propagating in randomly distorted, multimode, optical fibres. A clear physical picture emerges from the theory. The analytical expressions obtained for 〈t〉 and 〈t 2〉 coincide with the ones obtained by Olshansky from coupled-mode theory. The 〈t 3〉 and 〈t 4〉 moments of the impulse response are also calculated. Simple closed-form formulae are given for the step-index slab. The coupling between all modes is effectively taken into account in our ray theory.

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Authors and Affiliations

  1. Laboratoire des Signaux et Systèmes, 91190, Gif/Yvette, France

    M. Rousseau & J. Arnaud

  2. Bell Laboratories Holmdel, 07733, New Jersey, USA

    M. Rousseau & J. Arnaud

Authors
  1. M. Rousseau
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  2. J. Arnaud
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Additional information

On leave of absence at the Laboratoire des Signaux et Systèmes.

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Rousseau, M., Arnaud, J. Ray theory of the impulse response of randomly bent multimode fibres. Opt Quant Electron 10, 53–60 (1978). https://doi.org/10.1007/BF00620243

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  • DOI: https://doi.org/10.1007/BF00620243

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