Showing posts with label candela. Show all posts
Showing posts with label candela. Show all posts

Monday, April 27, 2009

Radiometry and photometry

Radiometry means the measurement of radiation. Photometry is a modified radiometry when wavelength is weighted by how sensitive the human eye responses.

Both radiometry and photometry have their own tricky/bizarre names for basic quantities:

1. Radiometry quantities:
















NameOther nameUnitsSymbol
Energy
joule (J)Q
FluxRadiant powerwatt (W) Φ
IrradianceFlux DensityW/m2
Radiant exitance
W/m2M
Radiant incidance
W/m2E
Radiant intensityW/SrI
Radiance
W/(m2Sr)L


Descriptions:
Flux (radiant power): time rate of change of energy.
Irradiance: areal density of power. I noticed more and more scientific articles have used this term to replace "intensity", which is good.
Radiant intensity: power per unit solid angle.
Radiance: power per unit projected area per unit solid angle. (This is equivalent to brightness often used by laser people).

2. Photometry quantities:
Same as radiometric quantities but units have different names:














Radiometric namePhotometric nameRadiometric unitsPhotometric units
Energyjoule (J)
Radiant power (flux)Luminous power (flux)watt (W)lumen (lm)
IrradianceIlluminanceW/m2lm/m2 = lux (lx)
Radiant intensityLuminous intensityW/Srlm/sr = candela (cd)
RadianceLuminanceW/(m2Sr)lm/(m2Sr) = cd/m2 = nit



Descriptions:
Candela: (unit of luminous intensity) one of the seven base units of the SI system. If a monochromatic 555nm source emits 1 W per steradian at a given direction, then at that direction the luminous intensity is 683 candelas (or 683 lm/sr). 555 nm is the wavelength that human eye has the max spectral responsivity.
Lumen: (unit of luminous power) For an isotropic source having 1 candela luminous intensity, the total luminous power emitted is 4π. If a source is not isotropic, one needs to measure the luminous intensity in many directions using a goniophotometer, and then numerically integrate over the entire sphere.
Lux: (unit of illuminance) = lm/m2. Most light meter measures this quantity.

3. Conversion between Watt and Lumen
The simplest thing to remember is:
1 Watt = 683 Lumens @555 nm.
At other wavelengths, this value is smaller and we need to multiply the eye's spectral response curve V(λ).

References:
[1] There is an excellent article on this subject by late Professor James M. Palmer:
http://www.optics.arizona.edu/Palmer/rpfaq/rpfaq.pdf
[2] The book Introduction to Radiometry (SPIE Optical Engineering Press 1998) by William L. Wolfe is a full-range detailed reference. I found some slight differences between the two references on quantity naming. This means that this subject is still somehow not coordinated.