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Proceedings Paper

Numerical Simulation Of Ion Diffusion In Glass For Fiber Optic Components
Author(s): Jean Breton; Pascale Laborde
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Paper Abstract

A 2-D mathematical model of ion diffusion in glass has been developed. It is applied to the Thallium diffusion process used for making optical fiber components. The basic equation used for this modelling is : dC/dt = div (D grad C) - div (μEC). The unknown concentration is the ionic concentration of Thallium in the glass. This law is based on a 1 ion-1 ion exchange and takes into account the thermal diffusion and the diffusion under an electric field. The other physical hypotheses made are the following ones : - the diffusion and mobility coefficients may vary with the Thallium concentration according to any law ; - the model accepts an electrical field variation, in intensity and direction, at any point of the geometrical domain. The calculation method used is the following one - a finite difference method for the solving of the unsteady state diffusion equation, - NEUMANN and DIRICHLET boundary conditions which may vary at each step of the chosen diffusion process. The numerical method (alternate directions) leads to a good approximation of the time scheme, leaving a certain freedom for the choice of the space and time steps.

Paper Details

Date Published: 21 December 1989
PDF: 7 pages
Proc. SPIE 1128, Glasses for Optoelectronics, (21 December 1989); doi: 10.1117/12.961440
Show Author Affiliations
Jean Breton, Corning Europe Inc. (France)
Pascale Laborde, Corning Europe Inc. (France)

Published in SPIE Proceedings Vol. 1128:
Glasses for Optoelectronics

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