Measurement of broadening of pulses in glass fibres

Bouillie, R.; Andrews, James R.

doi:10.1049/el:19720228

Cited by 14 publications

(2 citation statements)

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“…On the other hand for multimode cladded fibres dispersions corresponding to bandwidths approaching a gigahertz per kilometre have been measured [3] with a mode-locked helium/neon laser and are in agreement with theory when the lossy nature of the cladding is taken into account [4,5]. Another type of fibre is that having a continuous variation in refractive index, of which Selfoc [6] is the best known variety, for which some experimental measurements have been made [7,8]. This paper presents the corresponding theoretical analysis.…”

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confidence: 71%

Pulse dispersion in a lens-like medium

Gambling

Matsumura

1973

Opto-electronics

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An analysis is given of dispersion in an optical fibre waveguide having a continuous radial variation of refractive index using the scalar wave approximation. Solutions are presented for the particular case of Selfoc fibre taking into account mode dispersion, material dispersion and group delay. It is shown that for a correctly matched input Gaussian beam the pulse dispersion is small although in practice it is likely to be ~ 1 ns over a length of 1 km. l. IntroductionComputation of the bandwidth to be expected in single-mode cladded fibres [1,2] predicts values of tens of gigahertz over tens of kilometres although experimental measurements have not yet been made. On the other hand for multimode cladded fibres dispersions corresponding to bandwidths approaching a gigahertz per kilometre have been measured [3] with a mode-locked helium/neon laser and are in agreement with theory when the lossy nature of the cladding is taken into account [4,5]. Another type of fibre is that having a continuous variation in refractive index, of which Selfoc [6] is the best known variety, for which some experimental measurements have been made [7,8]. This paper presents the corresponding theoretical analysis. Field distribution in a lens-like mediumConsider a continuous cylindrical medium (r, 0, z) in which the dielectric constant varies only in the transverse (radial) direction r aswhere ~(0) is the dielectric constant on the axis and b, g are constants. Using a scalar wave approximation the wave equation for the transverse electric field E in an axially symmetric system is 1 0(0E) ~2E r + --+ k2 ( is small then the equation can be solved using the stationary perturbation theory. By putting bg 4 = 0 and after separation of the variables it is found that the characteristic mode is of Laguerre-Gaussian form and may be written

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confidence: 71%

Pulse dispersion in a lens-like medium

Gambling

Matsumura

1973

Opto-electronics

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“…Such dispersion measurements were first carried out by Bouillie and Andrews 3 , who detected 12 psec in 20 m (i.e., 0.6 psec/m). Then Gloge et al 4 reported 100 psec in 70 m (1.4 psec/m).…”

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confidence: 96%

Pulse dispersion measurements in conventional Selfoc fibers

Sunak

1979

Appl. Opt.

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Measurements of pulse dispersion in conventional Selfoc fibers have been carried out. The principal light source was a pulsed mode-locked ruby laser. Qualitative agreement has been found with theory, which predicts multimode operation and, hence, large pulse dispersion in such fibers under greatly mismatched launching conditions. Under such conditions, we have observed dispersion equivalent to ~20 nsec/km.

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