Analytical relationship for one-dimensional index profile in grin lens made by ion exchange process

In this paper, by considering the concentration dependence of the diffusion coefficient, the diffusion equation is solved analytically. With this solution and the relationship between concentration and refractive index, analytical model is derived for changes in the refractive index. Then, as an example (grin lens), the analytical results are compared with experimental results and ideal refractive index changes. A good agreement can be seen between the analytical results and other results

Keywords:

Diffusion coefficient , Diffusion equation , Refractive index changes , Grin lens