Numerical Simulation Of Ion Diffusion In Glass For Fiber Optic Components

Jean Breton; Pascale Laborde

doi:10.1117/12.961440

21 December 1989 Numerical Simulation Of Ion Diffusion In Glass For Fiber Optic Components

Jean Breton, Pascale Laborde

Proceedings Volume 1128, Glasses for Optoelectronics; (1989) https://doi.org/10.1117/12.961440
Event: 1989 International Congress on Optical Science and Engineering, 1989, Paris, France

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.

Citation Download Citation

Jean Breton and Pascale Laborde "Numerical Simulation Of Ion Diffusion In Glass For Fiber Optic Components", Proc. SPIE 1128, Glasses for Optoelectronics, (21 December 1989); https://doi.org/10.1117/12.961440

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