GRIN slab

This is a simulation of a rectangular dielectric material with a refractive index \(n(\rho) = n_0 \sqrt{1-(\alpha \rho)^2}\), where \(n_0=2\) 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. The top dielectric in this simulation is made of thin dielectric rectangles of constant refractive index, according to \(n(\rho)\), while the bottom dielectric is a gradient-index material with the refractive index \(n(\rho)\).