Photometric Quantities and Units of Light Measurement

Photometric Quantities and Units of Light Measurement

Photometry is the science of measuring light as perceived by the human eye. Unlike radiometry, which measures the total electromagnetic radiation, photometry focuses on the visual spectrum. To ensure clarity and avoid confusion with radiometric measurements, standards organizations recommend using a subscript "v" (for visual) when denoting photometric quantities.

Key Facts

Foundational Concepts of Light Measurement

To understand how light is quantified, we must distinguish between the energy emitted by a source, the intensity of that light in a specific direction, and how that light interacts with surfaces.

Luminous Energy and Flux

Luminous energy (Qv) represents the total light energy emitted, measured in lumen seconds (lm⋅s), a unit sometimes referred to as the talbot. When this energy is measured over time, it becomes Luminous Flux (Φv), also known as luminous power. This is the total amount of visible light emitted by a source per unit of time, measured in lumens (lm), which is equivalent to candela steradians (cd⋅sr).

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Intensity, Luminance, and Illuminance

While flux measures total light, Luminous Intensity (Iv) measures the flux per unit solid angle, expressed in candelas (cd). This describes how concentrated the light is in a specific direction.

When light hits a surface, we measure Illuminance (Ev), which is the luminous flux incident on a surface per square metre, measured in lux (lx). Conversely, Luminous Exitance (Mv) refers to the flux emitted from a surface, also measured in lumens per square metre.

Finally, Luminance (Lv) describes the luminous flux per unit solid angle per unit projected source area. Measured in candelas per square metre (cd/m²), this is the quantity often referred to as the nit in display technology.

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Efficiency and Density

Beyond basic brightness, photometry evaluates how efficiently a source converts energy into visible light. Luminous Efficacy (K or η) is the ratio of luminous flux to either radiant flux or power consumption, measured in lumens per watt (lm/W). To determine the relative performance of a source, the Luminous Efficiency (V) is used, which is the efficacy normalized against the maximum possible efficacy.

Other specialized measurements include Luminous Exposure (Hv), which is time-integrated illuminance (lx⋅s), and Luminous Energy Density (ωv), measured in lumen seconds per cubic metre (lm⋅s/m³).

Summary of Photometric Units

Standard Photometric Quantities and Their Units
Quantity Symbol Unit Unit Symbol Definition/Note
Luminous energy Qv lumen second lm⋅s Also called the talbot
Luminous flux Φv lumen lm Luminous energy per unit time
Luminous intensity Iv candela cd Luminous flux per unit solid angle
Luminance Lv candela per square metre cd/m² Also called the nit
Illuminance Ev lux lx Luminous flux incident on a surface
Luminous efficacy K / η lumen per watt lm/W Ratio of flux to radiant flux or power

Frequently Asked Questions

What is the difference between a lumen and a lux?

A lumen measures the total amount of visible light emitted by a source (luminous flux), whereas a lux measures how much of that light is actually hitting a specific surface area (illuminance). One lux is equal to one lumen per square metre.

What is a nit in light measurement?

A nit is a common term for one candela per square metre (cd/m²). It is the unit used to measure luminance, which is the intensity of light emitted from a surface in a particular direction.

What does the subscript "v" signify in photometric symbols?

The subscript "v" stands for "visual." It is used to distinguish photometric quantities (which are weighted for human vision) from radiometric or photon quantities.

How is luminous efficacy different from luminous efficiency?

Luminous efficacy is the absolute ratio of luminous flux to power consumption (measured in lm/W). Luminous efficiency is a dimensionless value representing the efficacy normalized by the maximum possible efficacy.

What is a talbot?

A talbot is an alternative name for the lumen second (lm⋅s), which is the unit used to measure luminous energy.

References

  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. Alternative symbols sometimes seen: W for luminous energy, P or F for luminous flux, and ρ for luminous efficacy of a source.
  4. Buser, Pierre; Imbert, Michel (1992). Vision. MIT Press. p. 53. ISBN 978-0-262-02336-8. nit luminance.
  5. Boyd, RLF, ed. (1992). Astronomical Photometry. Springer. p. 9. ISBN 978-0-7923-1653-4.