GRIN slab

This is a simulation of a dielectric material with a refractive index \(n(\rho) = n_0 \sqrt{1-(\alpha \rho)^2}\), where \(n_0\) is the refractive index on its central axis and \(\rho \) is the radial distance from its central axis, such that \(\alpha=\frac{\sqrt{3}}{2R} \) where \(R=100 \) is its radius. Note that the dielectric in this simulation is made of thin dielectric rectangles of constant refractive index, according to the previous equation for \(n(\rho)\). The script for creating these lenses is available here.