【摘要】 用有限差分法解扩散系数依赖于浓度的扩散方程。将计算的离子交换玻璃平板和圆棒中的氧化钠浓度和折射率分布分别与用电子探针和干涉显微镜测量的结果做了比较。即使玻璃中离子的互扩散系数还取决于长的离子交换时间,若通过选择某一时间离子交换玻璃中离子的互扩散系数,去计算其他时间离子交换玻璃中的浓度和折射率分布,可以使计算值和测量值之间的误差降低到尽可能小。在计算机模拟的基础上,讨论了计算参数和玻璃棒半径大小对获得最佳折射率分布时的离子交换时间的影响。更多还原

【Abstract】 Diffusion equations with diffusion coefficient depending on concentration were sol ved by the finite difference method. Distributions of sodium oxide concentration and refractive index calculated for ion-exchanged glass plates and rods were compared with rosults measured by electron microprobe analysis and interference microscopy respectively. Even if interdiffusion coefficients of ion in the glass depend on long ion exchange time yet, the error between calculation and measurement can be reduced to as small as possible by selecting an interdiffusion coefficient for some ion exchange time to calculate concentration and refractive index distributions in the glass ion-exchanged for other time. Based on the simulation by computer, effects of parameters in calculation and size of rod radius on the ion exchange time of optimum refractive index distribution in glass rod lens are discussed.更多还原