What is Irradiance? Definition, Equations & Explanation

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    Irradiance
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Irradiance is defined as the power per area of radiation received by a surface, measured in watts per square meter (W/m²) or ergs per square centimeter per second. The total power radiated by a star, known as luminosity, can be calculated using the equation L = 4πR²σT⁴, where R is the radius and T is the temperature. The irradiance at a distance d from the source is given by I = L/(4πd²), which incorporates the Stefan-Boltzmann constant. The term "irradiance" specifically refers to radiation received by a surface, distinguishing it from related concepts like radiance and radiant intensity. Understanding irradiance is crucial in fields such as astronomy and solar energy.
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Definition/Summary

Irradiance is the power per area of the radiation received by a surface.

It is measured in SI units of watts per square meter (W.m^{-2}), or cgs units of ergs per square centimeter per second (erg.cm^{-2}.s^{-1}, often used in astronomy).

Equations

surface area of star:
4\pi R^2
total power radiated (Luminosity):
L\ =\ 4\pi R^2\sigma T^4
power per area at distance d (Irradiance):
I\ =\ \frac{L}{4\pi d^2}\ =\ \frac{R^2}{d^2}\sigma T^4
(\sigma is the Stefan-Boltzmann constant, 5.67×10^{-8} \, W\cdot m^{-2}\cdot K^{-4})

Extended explanation

Other similar units:

"Ir-" means "on", so irradiance relates to radiation on (received by) a surface, while radiance, and radiant intensity emittance excitance or flux, relate to radiation from a surface.

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