Photometry
Intensity
Depends on the total amount of light and on the solid angle covered.
Inverse
square law
A three-dimensional, spherical wave will expand in spherical
surfaces of increasing radius, so the energy of the wave is spread
out over the spherical surface as shown in the
figure .
The area A of a sphere of radius r is given by the formula
A=4 pi r2, so when the radius of the sphere is increased
t twice its original raduis, the area is four times the
original area. The same amount of energy is therefore spread out
over four times the original area, so the intensity in this case,
the power per unit area, is only 1/4 of the original intensity.
All types of waves oby this law when they are emitted and allowed
to travel freely away from the source with no focusing or other
means of confinement.
Example for the typical behavior of the intensity according
to the inverse square law.
Distance |
Intensity |
1 m
| 1w/m2
|
2m
| 1/4
|
3 m
| 1/9
|
.
| .
|
.
| .
|
D
| 1/D2
|
Intensity
Power / unit area [units cd = candles]
Luminance
Intensity per unit area [units candles/m2]
Examples:
A small globe and a large globe of 50 W have both the same
intensity.
A small globe of 50 W and a large globe of 300 W can have
the same luminance.
|