Definitions & qualifiers

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Definitions

The emittance (ε) of a surface is the ratio of the energy radiated from it to that from a blackbody at the same temperature, the same wavelength and under the same viewing conditions. The emissivity is the emittance of a specimen that has an optically smooth surface and is thick enough to be opaque

Reflectance (ρ) is the fraction of radiant energy that is reflected from a surface.

Reflectivity is the reflectance at the surface of a material so thick that the reflectance does not change with increasing thickness
 
Transmittance (τ) is the fraction of incident light at a specified wavelength that passes through a sample


Qualifiers

It is not sufficient just to say "emissivity" or "reflectivity" because the terms have a lot of qualifiers, depending on wavelength and direction of emission or detection. A list of qualifiers is summarised below.

Spectral: at one wavelength, designed by (λ) following the symbol for the property, e.g. ελ.

Total: over all wavelengths, designed by the symbol (τ) following the property symbol, e.g. ετ

Directional: in a given direction. The direction is completely specified by two angles, θ and φ; θ is the angle between the specified direction and the normal to the surface and φ is the azimuth of the specified direction from the specimen. The symbols θ and φ are enclosed in parentheses following the symbol of the property as , θ, φ, θ'', φ'; those indicating the incident radiation first, followed by those indicating the direction of the reflected or transmitted rays.

Normal: a special case of directional where θ=0. In practice, for θ<15, a normal condition is assumed.

Angular: a more general case of directional where θ>15, that is, for cases other than normal.

Hemispherical: over a complete hemisphere, designated by the symbol 2π replacing  θ and φ.

Specular: in the direction of mirror or specular reflection. In this case, θ=θ'' and φ'=φ+180

Diffuse: applied to a surface it means reflecting or transmitting in all directions over a hemisphere centred at the point of interest on the surface. Applied to incident radiation: incident at a point from all angles over a hemisphere centred at the point.

Perfectly diffuse: with the same radiance in all directions from a surface.

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