Abstract. Two methods for determining of the true (thermodynamic) temperature via thermal radiation spectrum of an opaque heated object are presented. The first method is based on the relative emissivity. It is shown that in many cases, the range of the true temperature values may be narrowed down using the "convex-concave" criterion. As shown, that any relative spectral emissivity dependence can be approximated by the same parametric model. The second method is based on the use of the Wien displacement law for real materials. This method is effective when the radiation of the object close to the gray-body radiation in the region of the spectral emission maximum. It is shown that these two methods complement each other.
IntroductionRadiation thermometers are characterized by high performance and require no direct contact with the measured object [1,2]. These features are of particular importance for registration of fast processes at high temperatures and for investigation of the thermophysical properties of matters (materials) [3]. It was assumed that the spectral intensity (radiances) of the free-emitted radiation and, hence, the emissivity are continuous functions of the variables wavelength and true temperature T . The object temperature is constant during the measurement process. The environment where the measured object is contained is transparent for the thermal radiation; radiation from outside is absent. The value of the directional spectral emissivity, ǫ(λ i , T ), of material is unknown. The registered radiation spectrum consisting of a set of spectral intensities I c (λ i ) at m wavelengths is used as an input data.There are several approaches for determination of true temperature of opaque materials via the registered thermal radiation spectrum [1,2,4,5]. Two new approaches (and two methods, respectively) are considered. The first method based on relative emissivity of material [6]. The second method is based on temperature determination of opaque materials via the spectral thermal radiation maximum [7]. It is shown that the area of the use of these approaches depends on the temperatures level and emissivity dependence on wavelength. It is shown that these approaches complement each other.The problem of determining the object true temperature is proposed to solve in two stages.