Absolute temperature directly from plank’s profile: A simulation
The measured thermal radiation from a material surface will, in general, have a wave length () dependent scale-factor to the Planck profile (PT) from the contributions of the emissivity (Є) of the surface, the response function (A) of the measurement setup, and the emission via non-Plank processes. For obtaining the absolute temperature from such a profile, a procedure that take care of these dependencies and which relay on a temperature grid searchis proposed. In the procedure, the deviation between the Plank profiles at various temperatures and the measured spectrum that is made equal to it at a selected wavelength, by scaling, is used. The response function (A) is eliminated at the measurement stage and the polynomial dependence of the remnant scale factor mostly dominated by Є) i s extracted from the measured spectrum by identifying its optimal dependence. It is shown that when such a computation is carried out over a temperature grid, the absolute temperature can be identified from the minimum of the above deviation. Here, search for T and Є) d elinked, unlike in the leastsquare approaches that are normally employed. Code that implements the procedure is tested with simulated Planck profile to which different viable values of Є) a nd noise is incorporated. It shown that if the dependence of scale-factor is not too high, the absolute temperature can be recovered. A large dependent scale-factor and the consequent possible error in the temperature obtained can also be identified.
KEYWORDS: Planck profile, Absolute Temperature scale, Temperature measurement