Abstract
Radiation thermometers measure the effective spectral radiation from a non-blackbody. Thus, the present study re-explains radiance thermometry using effective radiance temperature (ERT) suitable for an arbitrary temperature measurement in which ambient radiation exists. The theory of effective wavelength is adopted to elucidate the relationship between the "subjective" integral effective radiance temperature (the reading of an actual band-pass radiation thermometer) and the "objective" ERT by means of the integral intermediate value theorem, i.e., the value of integral effective radiance temperature measured by a thermometer is equal to ERT at the effective wavelength of the measurement. A unidirectional scanning approach for calculating the effective wavelength, with no iterative algorithm and suitable for existing multi-values, is introduced. The existence, non-monodromy, and geometric and physical meanings of the effective wavelength for an ERT measurement are discussed. ERT feature, which has a marked difference from that of classical radiance temperature, is expounded. ERT is more consistent with the nature of the apparent temperature and is more relevant in the discussion of the thermometric feature of a thermometer. Radiance temperature can be considered as a special case of ERT.
Published Version
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