Determination of emissivity dependence on wavelength using a hybrid least squares method for non-contact temperature measurements
P.V. Zinin, P.A. Grishaev, K.M. Bulatov
Scientific-Technological Center of Unique Instrumentation of the Russian Academy of Sciences, Moscow,Russia
Keywords: remote temperature measuring, remote emissivity measuring, least squares method, polynomial model for emissivity, temperature measurement error, emissivity measurement error
Abstract
The paper is devoted to non-contact measurements for temperature and emissivity. There are many parameters controlling emissivity: temperature, wavelength, surface condition, etc. There are cases for insufficiently detailed approximation for a body with emissivity depends on the wavelength as an issue of processing the remote measurements of emissivity. A hybrid method aimed to reducing thee multidimensional minimization to one-dimensional case for calculating the emissivity decomposition coefficients is presented. The grey body, linear and quadratic emissivity models are considered. An increasing number of solutions with increasing number coefficients of polynomial decomposition for emissivity is observed. The approach of choosing a proper solution is developed. The limitations on the model parameters numbers are presented: this is related to a growth of relative uncertainties in each parameter and with using the Akaike criterion.
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