Done!
Correct: distance is proportional to square root of candela, which in turn is linearly proportional to brightness given a fixed beam profile. One should not expect a linear percentage drop in a square-root relation. The square root comes from the fact that distance has the dimension of length, while candela and lux are both per-area. (Note that solid angle is simply area on the surface of a unit-radius sphere). The following 2 ratios seem very similar in my measurements of total output and …
Thanks to everyone for the interesting technical discussion. Tangential discussions are sort of a feature of BLF, so it’s not a problem as far as I’m concerned. I suppose that culture developed because the old forum software didn’t have the capability of moving replies to a different thread, so any side-discussions that came up in a thread had to stay right there. Now we do have the technical capability, but I’m still not the sort of moderator that patrols threads to enforce topical cohesion and relevancy.
Just let me know if I can be of help as you did in this thread. Thanks a lot!