Hey cee, just inquiring, in your experiment and photos, lux/lumens are a direct computation. Now has the multiple lamp lux number ever exceeded the rating of a single? You have used the sensor further away from the bulb (ABF had his right up against them) Now plants are usually a little bit away, but under the lumens add up, try this, put the meter right up against the bulb, get a reading, then turn on 5 or so of them and drop the sensor down a foot and see if the number *rises*.
There really is not a lux rating for a bulb. There is only a lumen rating, and a lux reading from the meter. Elsewhere (in
this thread I believe) I made a back-calculation to compute the lumens using an assumed light distribution and the measured lux. It was fairly close, but it's just too difficult to know how exactly the light is distributed well enough to make it just right.
In any case, you can take a known reading for a distance from the bulb, and calculate the anticipated change in intensity when adding bulbs based on that. Obviously, the simplest case of that is the one that I've demonstrated, where both lights are equidistant. You just multiply times two. If you throw in geometry, it gets more complicated, and you see why it's practically difficult to add all those lumens in a finite space. Here goes.
Basically, if the sensor is "D" inches directly under the bulb, and the bulbs are spaced laterally at a distance of "S", for three bulbs you'd get a combined intensity of:
I = Io * (1/D^2 + 2/(D^2 + S^2))
where Io is some constant that defines the intensity of whatever bulb you're using as a function of the distance D. This will be a function obviously of the wattage and type of bulb.
If you're using five bulbs spaced laterally, you get:
I = Io * (1/D^2 + 2/(D^2 + S^2) + 2/(D^2 + (2S)^2))
etc...
I can draw a diagram that would help explain that.
What this means is that at any distance D from the bulb, as you pull the meter away, the intensity will decrease. This is simply because if you are centered below the bulb, as long as light is not obscured from the side bulbs, you are always increasing the distance from all of the bulbs.
Without care, this result might be obscured slightly by the experimental condition that the meter remains flat, and as you pull it away, a wider angle of light reaches the meter from the side bulbs. This is not practically relevant, as the plant will adjust its foliage to maximize this angle. This would be experimentally observed by tilting the meter so that it is perpendicular to the bulb.
It might be interesting to compare the theoretical to predicted results, but I"m satisfied with it thus far. About to watch Superhighme. Cheers!