The mathematical modelling of microstructured optical fibres
The mathematical modelling of microstructured optical fibres
Microstructured optical fibres contain a large number of holes in a transverse cross-section. This thesis models the drawing of a capillary tube, taking advantage of the aspect-ratio of the geometry, producing both analytic and numerical solutions of the systems of PDEs resulting from the Navier-Stokes equations. The effects of spinning a fibre perform as it is passed into the drawing furnace and the subsequent geometrical effects on the fibre are considered. Theoretical predictions compare favourably with the results of experimental trials.
An insight into the spinning of microstructured optical fibres is gained in certain asymptotic limits, and the model of capillary drawing used to determine methodologies for minimizing Polarization Mode Dispersion for different classes of fibre.
The drawing of particular types of fibre are modelled, and analytical tools developed to describe the particular fluid-flows that occur in a cross-section of the fibres. Once again, theoretical predictions are compared to experimental results and a hitherto unexplained phenomenon is understood.
A two-phase flow model is developed to address the full microstructured-fibre problem, based on the model for a capillary tube. The two-phase flow model is an intermediate step between modelling the drawing of capillary tubes and that of holey fibres. The resulting equations are solved asymptotically and numerically, and the results interpreted in a wholly practical manner. The restrictions of the two-phase flow model are then removed and a model that describes the manufacture of arbitrary holes fibres is derived. The equations are solved to produce analytic solutions for simple geometries.
University of Southampton
Voyce, Christopher Jonathan
496b4702-130b-483e-afa5-acbb300879dc
2005
Voyce, Christopher Jonathan
496b4702-130b-483e-afa5-acbb300879dc
Voyce, Christopher Jonathan
(2005)
The mathematical modelling of microstructured optical fibres.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
Microstructured optical fibres contain a large number of holes in a transverse cross-section. This thesis models the drawing of a capillary tube, taking advantage of the aspect-ratio of the geometry, producing both analytic and numerical solutions of the systems of PDEs resulting from the Navier-Stokes equations. The effects of spinning a fibre perform as it is passed into the drawing furnace and the subsequent geometrical effects on the fibre are considered. Theoretical predictions compare favourably with the results of experimental trials.
An insight into the spinning of microstructured optical fibres is gained in certain asymptotic limits, and the model of capillary drawing used to determine methodologies for minimizing Polarization Mode Dispersion for different classes of fibre.
The drawing of particular types of fibre are modelled, and analytical tools developed to describe the particular fluid-flows that occur in a cross-section of the fibres. Once again, theoretical predictions are compared to experimental results and a hitherto unexplained phenomenon is understood.
A two-phase flow model is developed to address the full microstructured-fibre problem, based on the model for a capillary tube. The two-phase flow model is an intermediate step between modelling the drawing of capillary tubes and that of holey fibres. The resulting equations are solved asymptotically and numerically, and the results interpreted in a wholly practical manner. The restrictions of the two-phase flow model are then removed and a model that describes the manufacture of arbitrary holes fibres is derived. The equations are solved to produce analytic solutions for simple geometries.
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Published date: 2005
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Local EPrints ID: 466021
URI: http://eprints.soton.ac.uk/id/eprint/466021
PURE UUID: 9f1370fe-8320-4150-9532-0bf04e350d8d
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Date deposited: 05 Jul 2022 04:00
Last modified: 16 Mar 2024 20:28
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Author:
Christopher Jonathan Voyce
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