I'm trying to use LED's as a point source of light for a project I have. a crucial idea is that the intensity of the light of the led falls off as 1 over the distance squared as we move away from it. i.e. it should obey the inverse square law. I ran some measurements on an LED and tried to fit the results on a curve but did not get that result,(the intensity was more proportional to $1/d^3$). my measurements could be non-accurate.
I haven't found any helpful sites that point out that LEDs actually follow the inverse square law, but I'm still skeptic that it does.
so my question is, can an led be used to some extent as a point source? how does an LED light vary with distance and with direction? if unfit, what other light emitting circuit components can be used instead if any?
I appreciate any kind of help.