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Proceedings Paper

FDM study of ion exchange diffusion equation in glass
Author(s): Zigang Zhou; Yongjia Yang; Qiang Wang; Guangchun Sun
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Paper 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.

Paper Details

Date Published: 18 May 2009
PDF: 4 pages
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); doi: 10.1117/12.832066
Show Author Affiliations
Zigang Zhou, Southwest Univ. of Science and Technology (China)
Yongjia Yang, Southwest Univ. of Science and Technology (China)
Qiang Wang, Southwest Univ. of Science and Technology (China)
Guangchun Sun, Southwest Univ. of Science and Technology (China)


Published in SPIE Proceedings Vol. 7284:
4th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Design, Manufacturing, and Testing of Micro- and Nano-Optical Devices and Systems
Sen Han; Masaomi Kameyama; Xiangang Luo, Editor(s)

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