Contributor: Stas Fainer

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 \(n(\rho)\).