Originally posted by: CycloWizard
Originally posted by: Cogman
CycloWizard I disagree about the photo receptors being overly saturated. Even at a bright sunny day, when you look at the sun, you can definitely tell a difference between it and say a white sheet in the sun.
The action potential firing rate follows a sigmoidal curve with respect to intensity (really, the log of intensity). On a bright sunny day, you're near the saturation portion of the curve such that the sensitivity of your eye is diminished. I'm not saying that his projector won't make any difference, but it's certainly not going to be anything like a spotlight at night or in a dark theater.
I can see two problems right off the bat. The first is that the concave mirror will have to be fairly big in order for the projection to be visible. Projector lights are bright, and since you are in daylight you have to be brighter. My rough guess is that it should be somewhere around 1/4 to 1/2 the size of the image that you are trying to project. A monster.
The next problem, and probably the more serious one, is that with an image that bright, how do you keep from burning a hole through whatever material you use? Even a small magnifying glass (3 inch) will burn a hole in almost anything. You're going to need a much bigger one.
Seriously, you are going to have big issues with things spontaneously lighting on fire because of how hot the focused beam will be to make the image bright enough. (as channeling light implies filtering light which = absorbing energy). I don't know how this could work. Probably you would need something like a laser projector and Solar cells, simple lenses just wont cut it.
It depends on how long he's going to use it for and what he wants to project onto. If he just wants it on a screen somewhere, the screen could be actively cooled. Even a lens can be cooled. If he just wants to use it for a few seconds at a time, then it wouldn't really be an issue. But using solar cells would necessarily result in a loss of intensity because you are adding layers of inefficiency to the process (converting the photons to electricity, then back to photons through heat, even if there is no chemical intermediate). Since most solar cells are still far less than 10% efficient at converting the energy of a photon into electricity, the mirror is a much simpler, cost-effective alternative that takes up less space. The size of the mirror is easy to compute if you know the intensity of the sun (generally on the order of 10^9 photons/cm^2/s IIRC) and the desired image size and intensity. It's simply a ratio A_1*I_1=A_2*I_2, where A is the area and I is the intensity.