Drag to pan, scroll to zoom, double-click to fit. Both axes share one scale in millimetres. Rays are drawn from five points across the LED.
Light budget
Source seen from the wall
Brightness across the beam
Right after the last optic
On the wall
Sweep one parameter
Rules of thumb from the numbers
Method: 3D skew-ray trace of the rotationally symmetric system with Snell refraction, unpolarised reflection loss (Fresnel equations) at every glass surface, total internal reflection and mirror absorption. The diagram shows one cross-section of those rays. Brightness is read at the wall as the average over a small central disc, and never above the etendue limit. Sun reference: 100 klx, 0.53° across, 1.6 Gcd/m².