Point source

For other uses, see Point source (disambiguation).

A point source is a single identifiable localised source of something. A point source has negligible extent, distinguishing it from other source geometries. Sources are called point sources because in mathematical modeling, these sources can usually be approximated as a mathematical point to simplify analysis.

The actual source need not be physically small, if its size is negligible relative to other length scales in the problem. For example, in astronomy, stars are routinely treated as point sources, even though they are in actuality much larger than the Earth.

In three dimensions, the density of something leaving a point source decreases in proportion to the inverse square of the distance from the source, if the distribution is isotropic, and there is no absorption or other loss.


In mathematics, a point source is a singularity from which flux or flow is emanating. Although singularities such as this do not exist in the observable universe, mathematical point sources are often used as approximations to reality in physics and other fields.


Generally a source of light can be considered a point source if the resolution of the imaging instrument is too low to resolve its apparent size. There are two types and sources of light. A point source, and a extended source.

Mathematically an object may be considered a point source if its angular size, , is much smaller than the resolving power of the telescope:
where is the wavelength of light and is the telescope diameter.


Electromagnetic radiation

Radio wave sources which are smaller than one radio wavelength are also generally treated as point sources. Radio emissions generated by a fixed electrical circuit are usually polarized, producing anisotropic radiation. If the propagating medium is lossless, however, the radiant power in the radio waves at a given distance will still vary as the inverse square of the distance if the angle remains constant to the source polarization.

Gamma ray and X-ray sources may be treated as a point source if sufficiently small. Radiological contamination and nuclear sources are often point sources. This has significance in health physics and radiation protection.



Sound is an oscillating pressure wave. As the pressure oscillates up and down, an audio point source acts in turn as a fluid point source and then a fluid point sink. (Such an object does not exist physically, but is often a good simplified model for calculations.)


Ionizing radiation

Geiger-Müller counter with dual counts/dose rate display measuring a "point source".

Point sources are used as a means of calibrating ionizing radiation instruments. They are usually a sealed capsule and are most commonly used for gamma, x-ray and beta measuring instruments.


A mushroom cloud as an example of a thermal plume. A nuclear explosion can be treated as a thermal point source in large-scale atmospheric simulations.

In vacuum, heat escapes as radiation isotropically. If the source remains stationary in a compressible fluid such as air, flow patterns can form around the source due to convection, leading to an anisotropic pattern of heat loss. The most common form of anisotropy is the formation of a thermal plume above the heat source. Examples:


Fluid point sources are commonly used in fluid dynamics and aerodynamics. A point source of fluid is the inverse of a fluid point sink (a point where fluid is removed). Whereas fluid sinks exhibit complex rapidly changing behaviour such as is seen in vortices (for example water running into a plug-hole or tornadoes generated at points where air is rising), fluid sources generally produce simple flow patterns, with stationary isotropic point sources generating an expanding sphere of new fluid. If the fluid is moving (such as wind in air or currents in water) a plume is generated from the point source.



Sources of various types of pollution are often considered as point sources in large-scale studies of pollution.[1]

See also


  1. "Categories of Pollution: Point Source". http://oceanservice.noaa.gov/. NOAA. Retrieved 13 September 2014. External link in |website= (help)
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