RAY THEORY OF THE IMPULSE RESPONSE OF RANDOMLY BENT MULTIMODE FIBRES

J. Arnaud, M. Rousseau

Optical and Quantum Electronics 10 (1978) 53-60

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 ans 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 (t2) coincide with the ones obtained by Olshansky from coupled-form theory. The (t3) and (t4) 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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