What is Irradiance? Definition, Equations & Explanation

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SUMMARY

Irradiance is defined as the power per area of radiation received by a surface, measured in watts per square meter (W.m-2) or ergs per square centimeter per second (erg.cm-2.s-1). The equations relevant to irradiance include the surface area of a star (4πR2), total power radiated (Luminosity: L = 4πR2σT4), and power per area at distance d (I = L / 4πd2 = R2 / d2σT4), where σ is the Stefan-Boltzmann constant (5.67×10-8 W·m-2·K-4). Understanding the distinction between irradiance and related terms such as radiance and radiant intensity is crucial for accurate interpretation of radiation measurements.

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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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