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Luminous flux

From Wikipedia, the free encyclopedia
Perceived luminous power
Luminous flux
Common symbols
Φv
SI unitlumen
InSI base unitscdsr
DimensionJ{\displaystyle {\mathsf {J}}}

Inphotometry,luminous flux[1] orluminous power[2] is the measure of the perceived power oflight. It differs fromradiant flux, the measure of the total power ofelectromagnetic radiation (includinginfrared,ultraviolet, and visible light), in that luminous flux is adjusted to reflect the varying sensitivity of thehuman eye to differentwavelengths of light.

Photopic (black line) and scotopic[3] (green line) luminosity functions. The photopic includes the CIE 1931 standard (solid),[4] the Judd-Vos 1978 modified data (dashed),[5] and the Sharpe, Stockman, Jagla & Jägle 2005 data (dotted).[6] The horizontal axis is wavelength in nm.
Integrating sphere used for measuring the luminous flux of a light source

Units

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TheSI unit of luminous flux is thelumen (lm). One lumen is defined as the luminous flux of light produced by a light source that emits onecandela ofluminous intensity over a solid angle of onesteradian.

1 lm=1 cd×1 sr{\displaystyle 1\ {\text{lm}}=1\ {\text{cd}}\times 1\ {\text{sr}}}

In other systems of units, luminous flux may have units ofpower.

Weighting

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The luminous flux accounts for the sensitivity of the eye byweighting the power at each wavelength with theluminosity function, which represents the eye's response to different wavelengths. The luminous flux is aweighted sum of the power at all wavelengths in the visible band. Light outside the visible band does not contribute. The ratio of the total luminous flux to the radiant flux is called theluminous efficacy. This model of thehuman visual brightness perception, is standardized by the CIE andISO.[7]

Context

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Luminous flux is often used as an objective measure of the useful light emitted by alight source, and is typically reported on the packaging forlight bulbs, although it is not always prominent. Consumers commonly compare the luminous flux of different light bulbs since it provides an estimate of the apparent amount of light the bulb will produce, and a lightbulb with a higher ratio of luminous flux to consumed power is more efficient.

Luminous flux is not used to comparebrightness, as this is a subjective perception which varies according to the distance from the light source and the angular spread of the light from the source.

Measurement

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Luminous flux of artificial light sources is typically measured using anintegrating sphere, or agoniophotometer outfitted with aphotometer or a spectroradiometer.[8]

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.

Relationship to luminous intensity

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Comparison of photometric and radiometric quantities

Luminous flux (in lumens) is a measure of the total amount of light a lamp puts out. The luminous intensity (in candelas) is a measure of how bright the beam in a particular direction is. If a lamp has a 1 lumen bulb and the optics of the lamp are set up to focus the light evenly into a 1steradian beam, then the beam would have a luminous intensity of 1 candela. If the optics were changed to concentrate the beam into 1/2 steradian then the source would have a luminous intensity of 2 candela. The resulting beam is narrower and brighter, however the luminous flux remains the same.

Examples

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Table of comparative luminous flux of several light sources[9][10][11]
SourceLuminous flux (lumens)
37 mW "Superbright" whiteLED0.20
15 mW greenlaser (532 nm wavelength)8.4
1 W high-output white LED25–120
Kerosene lantern100
40 Wincandescent lamp at 230 volts325
7 W high-output white LED450
6 WCOB filament LED lamp600
18 Wfluorescent lamp1250
100 W incandescent lamp1750
40 W fluorescent lamp2800
35 W xenon bulb2200–3200
100 W fluorescent lamp8000
127 Wlow pressure sodium vapor lamp25,000
400 Wmetal-halide lamp40,000
Values are given for newly manufactured sources. The output from many sources decreases significantly over their lifetime.

References

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  1. ^Boyce, Peter Robert (2014).Human Factors in Lighting (3rd ed.). CRC Press. pp. 6–7.ISBN 978-1-4398-7488-2.
  2. ^Weik, Martin (1996).Communications Standard Dictionary (3rd ed.). Chapman & Hall. p. 542.ISBN 978-1-4613-8048-1.
  3. ^"Scotopic luminosity function".
  4. ^"CIE 2-deg CMFS".
  5. ^"Judd-Vos modified Photopic luminosity function".
  6. ^"Sharpe, Stockman, Jagla & Jägle (2005) 2-deg V*(l) luminous efficiency function". Archived fromthe original on 2007-09-27. Retrieved2007-05-10.
  7. ^ISO/CIE 23539:2023 CIE TC 2-93 Photometry — The CIE system of physical photometry. ISO/CIE. 2023.doi:10.25039/IS0.CIE.23539.2023.
  8. ^Schneider, T.; Young, R.; Bergen, T.; Dam-Hansen, C; Goodman, T.; Jordan, W.; Lee, D.-H; Okura, T.; Sperfeld, P.; Thorseth, A; Zong, Y. (2022).CIE 250:2022 Spectroradiometric Measurement of Optical Radiation Sources. Vienna: CIE - International Commission on Illumination.ISBN 978-3-902842-23-7.
  9. ^Szokolay, S. V. (2008).Introduction to Architectural Science: The Basis of Sustainable Design (Second ed.). Routledge. p. 143.ISBN 9780750687041.
  10. ^BeLight. Vol. 3. Trendforce. 2010. pp. 10–12.
  11. ^Jahne, Bernd (2004).Practical Handbook on Image Processing for Scientific and Technical Applications (Second ed.). CRC. p. 111.ISBN 9780849390302.
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