FDM study of ion exchange diffusion equation in glass

Zigang Zhou; Yongjia Yang; Qiang Wang; Guangchun Sun

doi:10.1117/12.832066

18 May 2009 FDM study of ion exchange diffusion equation in glass

Zigang Zhou, Yongjia Yang, Qiang Wang, Guangchun Sun

Proceedings Volume 7284, 4th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Design, Manufacturing, and Testing of Micro- and Nano-Optical Devices and Systems; 728408 (2009) https://doi.org/10.1117/12.832066
Event: AOMATT 2008 - 4th International Symposium on Advanced Optical Manufacturing, 2008, Chengdu, Chengdu, China

Abstract

Ion-exchange technique in glass was developed to fabricate gradient refractive index optical devices. In this paper, the Finite Difference Method(FDM), which is used for the solution of ion-diffusion equation, is reported. This method transforms continual diffusion equation to separate difference equation. It unitizes the matrix of MATLAB program to solve the iteration process. The collation results under square boundary condition show that it gets a more accurate numerical solution. Compared to experiment data, the relative error is less than 0.2%. Furthermore, it has simply operation and kinds of output solutions. This method can provide better results for border-proliferation of the hexagonal and the channel devices too.

Citation Download Citation

Zigang Zhou, Yongjia Yang, Qiang Wang, and Guangchun Sun "FDM study of ion exchange diffusion equation in glass", Proc. SPIE 7284, 4th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Design, Manufacturing, and Testing of Micro- and Nano-Optical Devices and Systems, 728408 (18 May 2009); https://doi.org/10.1117/12.832066

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