# The mathematical modelling of rotating capillary tubes for holey-fibre manufacture

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### Cites background from "The mathematical modelling of rotat..."

...Considering only the steady-state version of these equations and ignoring the effects of gravity, the inertial-force term and those of surface tension (assumption 2)): see [3] and [7] for details of how this affects the solutions) and preform rotation, (1)–(4) become...

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...[7] for a full derivation and discussion....

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..., ignoring gravity, inertia and surface tension, see [7])....

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...There exist numerous studies of optical-fiber drawing, including studies related to the drawing of capillary tubes (see, for example, [2]–[7])....

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20 citations

### Cites background from "The mathematical modelling of rotat..."

...Index Terms—Mathematical modeling, optical fiber, optical fiber applications, optical fiber fabrication, optical fiber theory....

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...Since the fabrication of structured preforms is one of the most labor intensive parts of the manufacturing process, it is often desirable Manuscript received August 6, 2007; revised December 9, 2007....

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### "The mathematical modelling of rotat..." refers background in this paper

...Its effects can be significant for three main reasons [4]....

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### "The mathematical modelling of rotat..." refers background in this paper

...Finally, the intended or accidental geometrical asymmetries that may be introduced into the manufacturing process may include the “locking-in” of an asymmetric stress distribution within the fibre [3]....

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### "The mathematical modelling of rotat..." refers background in this paper

...For more discussion of the rotation of holey fibres see [10], and for general background on the effect of fibre birefringence see [5]....

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...This leaves the fibre with an overall twist along its length, as required (see, for example, [5], [6] and [9])....

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...The former is the preferred option, and is usually achieved by attaching an electric drill to the top of the fibre preform [5] and passing the drawn fibre onto a rotating drum....

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...of asymmetries along the fibre by introducing a twist [5]....

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...The twist is therefore taken up whilst the fibre is still strictly in the fluid phase and not close to the glass transition temperature (see [5])....

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191 citations