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Ask iit jee aieee pet cbse icse state board experts Expert Question: optics: can you explain luminouus intensity,luminous flux,illuminance,luminance
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optics: can you explain luminouus intensity,luminous flux,illuminance,luminance
    
edison (4435)

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These are photometric quantities, defined as follows
 
Photometric Quantities:
  • Radiant flux is usually measured in watts.
  • Luminous flux - the fundamental quantity measuring the rate of flow of radiant energy modified for its effectiveness in creating the sensation of seeing i.e. Luminous flux = radiant flux x relevant spectral sensitivity of visual system. In SI units, luminous flux is measured in
    • lumens (lm). Luminous flux is useful for describing the total light output of light sources. However, to describe the distribution of light from a source, luminous intensity is used.
  • Luminous intensity - the luminous flux emitted per unit solid angle in a specified direction. The measure is the
    • candela (cd) which is equivalent to the lumens per steradian (lumens steradian -1). Formally the candela is defined as "the luminous intensity in a given direction of a source emitting monochromatic radiation at 555 nm of which the radiant intensity is 1/683 watts steradian-1." Both these have AREA measures associated with them.
  • Illuminance - the luminous flux per unit projectedarea of a surface in a given direction (luminous flux/unit solid angle/unit area) measured in
    • candela metre2 (cd m2) (1 footlambert = 3.43 candela m-2)

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Other related topics are
 
Cosine Law (Lambert cosine law) Illuminance of any surface varies as cosine of angle of incidence. E = 1/d2 cos theta where d = distance of source angle of incidence (cos theta = 1, cos 90 = 0)
Cosine cubed law - E = I cos3theta / h2 distance of source 'd' can be replaced by h/cos theta where h is perpendicular distance of source from plane in which measurement point is located.
Inverse square law and cosine law can be combined. E = (I cos theta ) / d2 Most meters are cosine corrected.

Luminance/Reflectance/Apostilbs

With a non-luminous surface e.g. a wall, what the eye sees - the brightness or luminance of the surface - depends on the reflectance i.e. the ratio of reflected light to incident light. With an illuminance of 500 lux and a reflectance of 0.4 the luminance of the surface will be 200 apostilbs.
  • Illuminance (lux) x reflectance = luminance (apostilbs).
  • Apostilbs is not an SI unit. To convert this to SI (candelas m-2) divide by pi (or multiply by 0.318).
  • If the Munsell "Value" reference of a color is known the reflectance can be approximately calculated using Reflectance = V(V - 1) where V = value.
  • If Munsell "value" is 6, reflectance = 6 x 5 = 30% = .3.
  • Since in most rooms the different surfaces will have different colors, they will reflect differing amounts of light and this will affect the distribution of light in the room.

Reflectance

  • For a perfectly diffusely reflecting surface, the ratio of the reflected luminous flux to the incident luminous flux is the reflectance.
  • Luminance = illuminance x reflectance / pi
  • Reflectance = illuminance / luminance
  • When the surface is not perfectly diffusely reflecting, reflectance is replaced by a

    luminance factor

    Luminance factor is the ratio of the luminance of a surface viewed from a particular position and lit in a specified way to the luminance of a diffusely reflecting white surface viewed from the same direction and lit in the same way. Here Luminance = illuminance x luminance factor / pi
    In lighting practice

    illuminance

    and

    luminance

    are most frequently used to characterise the effect of lighting.

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SI photometry units
Quantity Symbol SI unit Abbr. Notes
Luminous energy Qv lumen second lm·s units are sometimes called talbots
Luminous flux F lumen (= cd·sr) lm also called luminous power
Luminous intensity Iv candela (= lm/sr) cd an SI base unit
Luminance Lv candela per square metre cd/m2 units are sometimes called nits
Illuminance Ev lux (= lm/m2) lx Used for light incident on a surface
Luminous emittance Mv lux (= lm/m2) lx Used for light emitted from a surface
Luminous efficacy   lumen per watt lm/W ratio of luminous flux to radiant flux; maximum possible is 683.002 lm/W

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The response of a typical human eye to light

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