illuminance

{{Short description|Luminous flux incident on a surface per area}}

{{Distinguish|Luminance}}

{{Infobox physical quantity

| name = Illuminance

| unit = lux

| otherunits = phot, foot-candle

| symbols = {{math|Ev}}

| baseunits = cd·sr·m−2

| dimension = \mathsf{L}^{-2} \mathsf{J}

}}

File:Illuminance Diagram.tif

In photometry, illuminance is the total luminous flux incident on a surface, per unit area.{{cite encyclopedia | title=Illuminance, 17-21-060 | encyclopedia=CIE S 017:2020 ILV: International Lighting Vocabulary, 2nd edition. | publisher=CIE - International Commission on Illumination | accessdate=20 April 2023 | year=2020 | url=https://cie.co.at/eilvterm/17-21-060}} It is a measure of how much the incident light illuminates the surface, wavelength-weighted by the luminosity function to correlate with human brightness perception.International Electrotechnical Commission (IEC): International Electrotechnical Vocabulary. [https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=845-21-060 ref. 845-21-060, illuminance] Similarly, luminous emittance is the luminous flux per unit area emitted from a surface. Luminous emittance is also known as luminous exitance.[http://www.drdrbill.com/downloads/optics/photometry/Exitance.pdf Luminous exitance] Drdrbill.com

In SI units illuminance is measured in lux (lx), or equivalently in lumens per square metre (lm·m−2). Luminous exitance is measured in lm·m−2 only, not lux.

International Electrotechnical Commission (IEC): International Electrotechnical Vocabulary. [https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=845-21-081 ref. 845-21-081, luminous exitance] In the CGS system, the unit of illuminance is the phot, which is equal to {{gaps|10|000|u=lux}}. The foot-candle is a non-metric unit of illuminance that is used in photography.One phot = {{gaps|929.030|400|001|u=foot-candles}}, according to http://www.unitconversion.org/unit_converter/illumination.html

Illuminance was formerly often called brightness, but this leads to confusion with other uses of the word, such as to mean luminance. "Brightness" should never be used for quantitative description, but only for nonquantitative references to physiological sensations and perceptions of light.

The human eye is capable of seeing somewhat more than a 2 trillion-fold range. The presence of white objects is somewhat discernible under starlight, at {{val|5|e=-5|u=lux}} (50 μlx), while at the bright end, it is possible to read large text at 108 lux (100 Mlx), or about 1000 times that of direct sunlight, although this can be very uncomfortable and cause long-lasting afterimages.{{Citation needed|date=July 2008}}

Common illuminance levels

Image:Lux meter.jpg for measuring illuminances in work environments]]

class="wikitable sortable"
Lighting conditionFoot-candlesLux
Sunlight10,000 {{cite web

|archive-url=https://web.archive.org/web/20220403223446/https://www.engineeringtoolbox.com/light-level-rooms-d_708.html

|url=https://www.engineeringtoolbox.com/light-level-rooms-d_708.html

|title=Illuminance - Recommended Light Level

|access-date=July 7, 2022

|archive-date=April 3, 2022

|publisher=The Engineering ToolBox

|url-status=live

}}

100,000
Shade on a sunny day{{0}}1,000{{0}}10,000
Overcast day{{0|00}}100{{0|00}}1,000
Very dark day{{0|000}}10{{0|000}}100
Twilight{{0|0000}}1{{0|0000}}10
Deep twilight{{0|0000}}0.1{{0|00000}}1
Full moon{{0|0000}}0.01{{0|00000}}0.1
Quarter moon{{0|0000}}0.001{{0|00000}}0.01
Starlight{{0|0000}}0.0001{{0|00000}}0.001
Overcast night{{0|0000}}0.00001{{0|00000}}0.0001

Astronomy

In astronomy, the illuminance stars cast on the Earth's atmosphere is used as a measure of their brightness. The usual units are apparent magnitudes in the visible band.{{cite web |url=http://stjarnhimlen.se/comp/radfaq.html#7 |title=Radiometry and photometry in astronomy FAQ, section 7 |first=Paul |last=Schlyter}} V-magnitudes can be converted to lux using the formula{{cite web |url=http://members.ziggo.nl/jhm.vangastel/Astronomy/Formules.pdf |title=Formulae for converting to and from astronomy-relevant units |access-date=Nov 23, 2013 |archive-date=December 2, 2013 |archive-url=https://web.archive.org/web/20131202231237/http://members.ziggo.nl/jhm.vangastel/Astronomy/Formules.pdf |url-status=dead }}

E_\mathrm{v} = 10^{(-14.18-m_\mathrm{v})/2.5},

where Ev is the illuminance in lux, and mv is the apparent magnitude. The reverse conversion is

m_\mathrm{v} = -14.18 - 2.5 \log(E_\mathrm{v}).

Relation to luminance

File:photometry_radiometry_units.svg

The luminance of a reflecting surface is related to the illuminance it receives:

\int_{\Omega_\Sigma} L_\mathrm{v} \mathrm{d}\Omega_\Sigma \cos \theta_\Sigma = M_\mathrm{v} = E_\mathrm{v} R

where the integral covers all the directions of emission {{math|ΩΣ}}, and

In the case of a perfectly diffuse reflector (also called a Lambertian reflector), the luminance is isotropic, per Lambert's cosine law. Then the relationship is simply

L_\mathrm{v} = \frac{E_\mathrm{v} R}{\pi}

See also

References

{{Reflist}}