Large points (blue and gold): solution to the Raychaudhuri Equations (17) for a BH with spin a/M = 0.5, as a function of the azimuth of the ray at a large distance from the BH. Small scattered points (black and red): ray fluence as calculated by a Monte Carlo technique with 2²³ rays and angular cells of size Δθ = 2⁻⁸π and ﹩{\rm{\Delta }}\phi ={2}^{-8}{(\sin \theta )}^{-1}\pi ﹩. Black and blue points: prograde photon orbits; red and gold points: retrograde orbits.