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Lambert (unit) - Wikipedia

From Wikipedia, the free encyclopedia

Non-SI metric unit of luminance

The lambert (symbol L[1][2]) is a non-SI metric unit of luminance named for Johann Heinrich Lambert (1728–1777), a Swiss mathematician, physicist and astronomer. A related unit of luminance, the foot-lambert, is used in the lighting, cinema and flight simulation industries. The SI unit is the candela per square metre (cd/m2).

1 lambert (L) = 1 π {\displaystyle {\frac {1}{\pi }}} candela per square centimetre (0.3183 cd/cm2) or 10 4 π {\displaystyle {\frac {10^{4}}{\pi }}} cd m−2

Units of luminance cd/m2 (SI unit)
≡ nit ≡ lm/m2/sr stilb (sb) (CGS unit)
≡ cd/cm2 apostilb (asb)
≡ blondel bril skot (sk) lambert (L) foot-lambert (fL)
= 1 ⁄ π cd/ft2 1 cd/m2 = 1 10−4 π
≈ 3.142 107 π
≈ 3.142×107 103 π
≈ 3.142×103 10−4 π
≈ 3.142×10−4 0.30482 π
≈ 0.2919 1 sb = 104 1 104 π
≈ 3.142×104 1011 π
≈ 3.142×1011 107 π
≈ 3.142×107 π
≈ 3.142 30.482 π
≈ 2919 1 asb = 1 ⁄ π
≈ 0.3183 10−4 ⁄ π
≈ 3.183×10−5 1 107 103 10−4 0.30482
≈ 0.09290 1 bril = 10−7 ⁄ π
≈ 3.183×10−8 10−11 ⁄ π
≈ 3.183×10−12 10−7 1 10−4 10−11 0.30482×10−7
≈ 9.290×10−9 1 sk = 10−3 ⁄ π
≈ 3.183×10−4 10−7 ⁄ π
≈ 3.183×10−8 10−3 104 1 10−7 0.30482×10−3
≈ 9.290×10−5 1 L = 104 ⁄ π
≈ 3183 1 ⁄ π
≈ 0.3183 104 1011 107 1 0.30482×104
≈ 929.0 1 fL = 1 ⁄ 0.30482 ⁄ π
≈ 3.426 1 ⁄ 30.482 ⁄ π
≈ 3.426×10−4 1 ⁄ 0.30482
≈ 10.76 107 ⁄ 0.30482
≈ 1.076×108 103 ⁄ 0.30482
≈ 1.076×104 10−4 ⁄ 0.30482
≈ 1.076×10−3 1

Other units of luminance:

  1. ^ The symbols in this column denote dimensions; "L", "T" and "J" are for length, time and luminous intensity respectively, not the symbols for the units litre, tesla and joule.
  2. ^ Standards organizations recommend that photometric quantities be denoted with a subscript "v" (for "visual") to avoid confusion with radiometric or photon quantities. For example: USA Standard Letter Symbols for Illuminating Engineering USAS Z7.1-1967, Y10.18-1967
  3. ^ a b c Alternative symbols sometimes seen: W for luminous energy, P or F for luminous flux, and ρ for luminous efficacy of a source.

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