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Lumen (unit)

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The lumen is the SI unit used to measure luminous flux. Luminous flux is a way to quantify the perceived power of visible light from a source. This measurement is different from radiant flux, which is the total power of all electromagnetic waves. Radiant flux includes non-visible waves like infrared thermal radiation. The lumen focuses only on the light that the human eye can actually perceive. This makes it a practical unit for understanding how bright a light appears to us.

To calculate lumens, scientists use a model called a luminosity function. This function weights light based on how sensitive the human eye is to different wavelengths. The CIE and ISO organizations standardize this weighting process. For example, the human eye is most efficient at a wavelength of 555 nanometers in the green region. A light source radiating one watt of power at this specific wavelength produces 683 lumens. Therefore, a single lumen represents at least 1/683 watts of visible light power.

Mathematically, a lumen is defined as being equivalent to one candela-steradian. A steradian is a unit of a solid angle. An isotropic light source is one that radiates light uniformly in all directions. A full sphere contains a solid angle of 4π steradians, which is approximately 12.56637 sr. An isotropic source with a luminous intensity of one candela has a total flux of 4π lumens. If you cover half of that source with an ideal absorbing hemisphere, it would radiate 2π lumens. The intensity would remain one candela in the directions that are not covered.

It is important to distinguish lumens from lux. While lumens measure the total light emitted, lux measures illuminance. One lux is defined as one lumen per square metre. You can see this difference by how light is spread across a surface. If you concentrate 1,000 lumens into one square metre, the illuminance is 1,000 lux. If you spread those same 1,000 lumens over ten square metres, the brightness drops to 100 lux. The lux measurement accounts for the area over which the flux is distributed.

Lighting technology has changed how we use these measurements. In the past, people often looked at electrical power in watts to judge brightness. However, European Union legislation changed this on 1 September 2010. Under the Eco-design Directive for Energy-using Products, equipment must be labeled primarily by luminous flux. For instance, an energy-efficient bulb claiming to replace a 60 W tungsten bulb must output 700 to 810 lumens. This shift helps consumers choose bulbs based on actual light output rather than just power consumption.

Modern light sources show great differences in efficacy. An LED lamp producing 470 lumens might use only about one sixth the power of an incandescent bulb. A 23 W spiral compact fluorescent lamp can emit between 1,400 and 1,600 lumens. Typical fluorescent systems have a luminous efficacy of 50 to 100 lumens per watt. Looking at common bulbs, an incandescent bulb needs 60 watts to produce 800 lumens. In contrast, an LED can produce those same 800 lumens using only 13 to 15 watts.

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Video projectors also use lumens to describe brightness. Many manufacturers use a specific standard called ANSI lumens. This method was defined in the IT7.215 document created in 1992. To measure this, a projector displays a full white field in a room at 25°C. Technicians measure the brightness at nine specific locations around the screen and average them. This average is multiplied by the screen area to find the ANSI lumens. This is more accurate than "peak lumens," which only measures light in a small center area. For example, a CRT projector might claim 1,200 peak lumens but only produce 200 ANSI lumens.

The history of these measurements began with André Blondel. In 1894, he proposed the lumen for use in photometry. He developed it alongside other units based on the metre and the Violle candle. Today, these units allow us to connect the physics of light to human biology. By using the lumen, we can accurately describe the relationship between energy, wavelength, and human sight.

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