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33
Theory of thermography
• A selective radiator, for which ε varies with wavelength
According to Kirchhoff's law, for any material the spectral emissivity and spectral absorp-
tance of a body are equal at any specified temperature and wavelength. That is:
From this we obtain, for an opaque material (since α
+ ρ
= 1):
λ
λ
For highly polished materials ε
approaches zero, so that for a perfectly reflecting materi-
λ
al (i.e. a perfect mirror) we have:
For a graybody radiator, the Stefan-Boltzmann formula becomes:
This states that the total emissive power of a graybody is the same as a blackbody at the
same temperature reduced in proportion to the value of ε from the graybody.
Figure 33.8 Spectral radiant emittance of three types of radiators. 1: Spectral radiant emittance; 2: Wave-
length; 3: Blackbody; 4: Selective radiator; 5: Graybody.
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#T559598; r. AB/ 9443/9443; en-US
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