Photometric formulas


Luminous intensity I
Luminous flux in solid angle
Solid angle
I [cd] =  Ф [lm]
W [sr]
Luminous flux Ф Luminous intensity x solid angle
F [lm] =  I [cd] · W [sr]
Illuminance E
luminous flux  =  luminous intensity
illuminated area square of the distance
E [lx] =  Ф [lm]  =  I [cd]
A [m2] a2 [m2]
Luminance L
luminous intensity
observed illuminated area
L [cd/m2] =  I [cd]
A [m2]
Luminous efficacy h
luminous flux
consumed power
h [lm/W] =  Ф [lm]
P [W]

There are 4p solid angles (sr) in a full sphere. A solid angle of 1 sr corresponds to circular cone with an apex angle of 65,6 °.


A = Curved surfaces

r² = Radius²