Ray theory of the impulse response of randomly bent multimode fibres |
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Authors: | M Rousseau J Arnaud |
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Institution: | (1) Laboratoire des Signaux et Systèmes, 91190 Gif/Yvette, France;(2) Bell Laboratories Holmdel, 07733 New Jersey, USA |
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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.On leave of absence at the Laboratoire des Signaux et Systèmes. |
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