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Lambert (unit)

From Wikipedia, the free encyclopedia
Non-SI metric unit of luminance

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

Definition

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1 lambert (L) =1π{\displaystyle {\frac {1}{\pi }}}candela persquare centimetre (0.3183 cd/cm2) or104π{\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
brilskot (sk)lambert (L)foot-lambert (fL)
= 1 ⁄π cd/ft2
1 cd/m2=110−4π
≈ 3.142
107π
≈ 3.142×107
103π
≈ 3.142×103
10−4π
≈ 3.142×10−4
0.30482π
≈ 0.2919
1 sb=1041104π
≈ 3.142×104
1011π
≈ 3.142×1011
107π
≈ 3.142×107
π
≈ 3.142
30.482π
≈ 2,919
1 asb=1 ⁄π
≈ 0.3183
10−4π
≈ 3.183×10−5
110710310−40.30482
≈ 0.0929
1 bril=10−7π
≈ 3.183×10−8
10−11π
≈ 3.183×10−12
10−7110−410−110.30482×10−7
≈ 9.29×10−9
1 sk=10−3π
≈ 3.183×10−4
10−7π
≈ 3.183×10−8
10−3104110−70.30482×10−3
≈ 9.29×10−5
1 L=104π
≈ 3,183
1 ⁄π
≈ 0.3183
104101110710.30482×104
≈ 929
1 fL=1 ⁄ 0.30482π
≈ 3.426
1 ⁄ 30.482π
≈ 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

See also

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Other units of luminance:

SI photometry quantities
QuantityUnitDimension
[nb 1]
Notes
NameSymbol[nb 2]NameSymbol
Luminous energyQv[nb 3]lumen secondlm⋅sTJThe lumen second is sometimes called thetalbot.
Luminous flux, luminous powerΦv[nb 3]lumen (= candelasteradian)lm (= cd⋅sr)JLuminous energy per unit time
Luminous intensityIvcandela (= lumen per steradian)cd (= lm/sr)JLuminous flux per unitsolid angle
LuminanceLvcandela per square metrecd/m2 (= lm/(sr⋅m2))L−2JLuminous flux per unit solid angle per unitprojected source area. The candela per square metre is sometimes called thenit.
IlluminanceEvlux (= lumen per square metre)lx (= lm/m2)L−2JLuminous fluxincident on a surface
Luminous exitance, luminous emittanceMvlumen per square metrelm/m2L−2JLuminous fluxemitted from a surface
Luminous exposureHvlux secondlx⋅sL−2TJTime-integrated illuminance
Luminous energy densityωvlumen second per cubic metrelm⋅s/m3L−3TJ
Luminous efficacy (of radiation)Klumen perwattlm/WM−1L−2T3JRatio of luminous flux toradiant flux
Luminous efficacy (of a source)η[nb 3]lumen perwattlm/WM−1L−2T3JRatio of luminous flux to power consumption
Luminous efficiency, luminous coefficientV1Luminous efficacy normalized by the maximum possible efficacy
See also:
  1. ^The symbols in this column denotedimensions; "L", "T" and "J" are for length, time, and luminous intensity respectively, not the symbols for theunits litre, tesla, and joule.
  2. ^Standards organizations recommend that photometric quantities be denoted with a subscript "v" (for "visual") to avoid confusion with radiometric orphoton quantities. For example:USA Standard Letter Symbols for Illuminating Engineering USAS Z7.1-1967, Y10.18-1967
  3. ^abcAlternative symbols sometimes seen:W for luminous energy,P orF for luminous flux, andρ for luminous efficacy of a source.

References

[edit]
  1. ^"lambert".Illuminating Engineering Society. Retrieved2024-11-05.
  2. ^"Luminance | Photometric Brightness | Nit | Stilb | Apostilb | Blondel | Lambert | Footlambert | Skot".www.schorsch.com. Retrieved2024-11-05.
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