Archives de catégorie : Carnot

Sadi Carnot

ADIABATIC METHOD FOR FIBRES WITH NONSEPARABLE INDEX PROFILES

Jacques Arnaud, A. Barthelemy 

Electronics Letters, Volume 16, Issue 5, 28 February 1980, pp. 193 – 195

ABSTRACT

A new powerful numerical technique is proposed that quickly gives the propagation constants, group velocities and caustics of modes with specified numbers in multimode fibres of arbitrary 2-dimensional index profiles. This method is based on the adiabatic approximation of ray optics.

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BANDWIDTH OF DISTORTED MULTIMODE WAVEGUIDES EXCITED BY LASER SOURCES

J. Arnaud, M. Rousseau-Leberre

Electronics Letters, Vol. 16, Issue 1, 3 January 1980, p. 34 – 35

ABSTRACT

We show that the bandwidth of distorted multimode optical fibres excited by quasimonochromatic lasers is equal to the bandwidth of the undistorted fibre divided by the microbending loss measured with l.e.d. sources, to within a numerical factor. This simple result is derived for a slab model, but it may be general.

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BANDWIDTH OF STEP INDEX FIBERS WITH MICROBENDING

J. Arnaud, M. Clapeau

AEU, Band 33 (1979), Heft 11

ABSTRACT

The steady-state microbending loss of step-index fibers is found to be, within the WKB approcimation, 6.27 (…/∆) dB/unit length, where … denotes the spectral density of the curvature process. The product of the square of the pulse broadening improvement factor R and loss L is 0.74 dB. Results are given for various excitation conditions.

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USE OF PRINCIPAL MODE NUMBERS IN THE THEORY OF MICROBENDING

Jacques Arnaud

28/09/1978

Electronics Letters, Volume 14, Issue 20, 28 September 1978, p. 663 – 664

ABSTRACT

The modal theories of microbending that have been proposed so far postulate that modes that have the same principal mode number carry the same optical power. This assumption is shown to be incorrect. The exact result is given.

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RAY THEORY OF RANDOMLY BENT MULTIMODE OPTICAL FIBERS

J. Arnaud, M. Rousseau

Optical Letters, Vol 3, page 63, august 1978

ABSTRACT

The complete solution for propagation in randomly bent, circularly symmetric multimode optical fibers is given ; the paraxial-ray-optics approximation is used. This ray-optic solution is, in principle, equivalent to the power-coupled-mode equations in the continuum limit. However, none of the assumptions usually made in modal theories is needed in the ray theory. In particular, the coupling between nonadjacent modes is effectively taken into account.

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RAY THEORY OF MICROBENDING

J. Arnaud, M. Rousseau

Optics communications, Vol 25, n°3, june 1978

ABSTRACT

A ray theory is given for randomly bent (two-dimensional) optical fibers that have arbitrary index profiles and arbitrary curvature spectra. Simple closed form results are given for power-law profiles and spectra. No approximation is made besides the small bending approcimation and the paraxial ray optics approximation. In particular, the coupling between all modes is effectively taken into account.

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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.

LIEN VERS  L’ARTICLE : RAY THEORY OF THE IMPULSE RESPONSE OF RANDOMLY BENT MULTIMODE FIBRES