Inverse square law

nounStandard termLighting

The rule that illuminance from a point source falls with the square of distance, so double the distance gives a quarter of the light.

Illuminance on a surface facing a source equals the source's intensity in that direction divided by distance squared, multiplied by the cosine of the angle of incidence when the surface is tilted. It holds well when the distance is at least about five times the largest dimension of the source. Every point-by-point calculation and every accent lighting estimate rests on it.

Heard on the job

Inverse square law says moving the spot from 3 to 6 meters cuts the art from 800 lux to 200, so stick with the closer track.

Insider tip

The five-times rule: treat a source as a point only when you are at least five times its largest dimension away, otherwise the law overestimates close-range illuminance.

Also heard as

  • inverse-square rule