That inverse square only works bare bulb and point source.
Bare bulb: A board 1' away with 1" hole (.78 square inches) gets 1 watt total. A second board 2' away has a circle of light from the first hole. This circle of light is 2" across (3.14 square inches), 4 times the area. The 1 watt is still 1 watt, but spread over 4 times the area, 1/4 the intensity.
Reflector bulb: Depends on the reflector, but the focused light going through the 1" hole is not spreading the same. If the focus is over 2' then the light will get smaller by the second board and the intensity could multiply, hot spots they are called.
Large area emitters: A 2' circular light going through the 1" hole will make a 2' circle on the second board, still the same total watts as the 1" hole, 1/288 the intensity. The real world has infinite holes in the first board and the light falloff does not begin until an emitter diameter distance, 2' in the example. So what?
Reflectors & lights rim to rim: A 7' circle packed with overlapping +90 degree reflectors functions as a 7' diameter emitter with little to zero light falloff out to 7' from the lights.
What this means for penetration: The top of the plant is 3' from the 7' light, the bottom of the plant is 6' from the light. Instead of having 4 times the light, the photons per square inch of the upper leaves are no more than the photons per square inch of the lower leaves. Out to 7' the penetration equals the sun.
That was the hard part.
CFL lumens per watt are really close to standard HID. HPS puts out fully half again more light, nothing else comes close.
Yes, what isn't light is heat, CFL's spread this heat over a larger area, creating lower temperatures for identical heat loss wattages. Similar to lumen vs flux, it is measured differently.
Bare bulb: A board 1' away with 1" hole (.78 square inches) gets 1 watt total. A second board 2' away has a circle of light from the first hole. This circle of light is 2" across (3.14 square inches), 4 times the area. The 1 watt is still 1 watt, but spread over 4 times the area, 1/4 the intensity.
Reflector bulb: Depends on the reflector, but the focused light going through the 1" hole is not spreading the same. If the focus is over 2' then the light will get smaller by the second board and the intensity could multiply, hot spots they are called.
Large area emitters: A 2' circular light going through the 1" hole will make a 2' circle on the second board, still the same total watts as the 1" hole, 1/288 the intensity. The real world has infinite holes in the first board and the light falloff does not begin until an emitter diameter distance, 2' in the example. So what?
Reflectors & lights rim to rim: A 7' circle packed with overlapping +90 degree reflectors functions as a 7' diameter emitter with little to zero light falloff out to 7' from the lights.
What this means for penetration: The top of the plant is 3' from the 7' light, the bottom of the plant is 6' from the light. Instead of having 4 times the light, the photons per square inch of the upper leaves are no more than the photons per square inch of the lower leaves. Out to 7' the penetration equals the sun.
That was the hard part.
CFL lumens per watt are really close to standard HID. HPS puts out fully half again more light, nothing else comes close.
Yes, what isn't light is heat, CFL's spread this heat over a larger area, creating lower temperatures for identical heat loss wattages. Similar to lumen vs flux, it is measured differently.