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Mathematically, for the spectral power distribution of a radiant exitance or irradiance one may write: =where M(λ) is the spectral irradiance (or exitance) of the light (SI units: W/m 2 = kg·m −1 ·s −3); Φ is the radiant flux of the source (SI unit: watt, W); A is the area over which the radiant flux is integrated (SI unit: square meter, m 2); and λ is the wavelength (SI unit: meter, m).
A luminance meter is a device used in photometry that can measure the luminance in a particular direction and with a particular solid angle. The simplest devices measure the luminance in a single direction while imaging luminance meters measure luminance in a way similar to the way a digital camera records color images.
Radiance is the integral of the spectral radiance over all frequencies or wavelengths. For radiation emitted by the surface of an ideal black body at a given temperature, spectral radiance is governed by Planck's law , while the integral of its radiance, over the hemisphere into which its surface radiates, is given by the Stefan–Boltzmann law .
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The SI unit of spectral radiance in frequency is the watt per steradian per square metre per hertz (W·sr −1 ·m −2 ·Hz −1) and that of spectral radiance in wavelength is the watt per steradian per square metre per metre (W·sr −1 ·m −3)—commonly the watt per steradian per square metre per nanometre (W·sr −1 ·m −2 ·nm −1).
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The spectral directional reflectance in frequency and spectral directional reflectance in wavelength of a surface, denoted R Ω,ν and R Ω,λ respectively, are defined as [1], =,,,,, =,,,,, where L e,Ω, ν r is the spectral radiance in frequency reflected by that surface;
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