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Analysis of multiwavelength pyrometry using nonlinear chi-square fits and Monte Carlo methods

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Abstract

An analysis of multiwavelength pyrometry is made using Monte Carlo methods to evaluate the measurement error as a function of temperature for three, four, five, and six channels. Both a graybody and an emissivity with linear wavelength dependence are considered. χ 2 is calculated using the observed intensity in each channel and is minimized with respect to the temperature and the emissivity coefficients, using the Levenberg-Marquardt method. The influence of spectral span of the channels and the weight function used in the χ 2 fit are exmained. For the case of linear wavelength dependence, the solutions are found to be nonunique, even with six channels. The results show little improvement of precision with increasing number of channels beyond four channels when the nonlinear variable T is free. Both the spectral span and the weight function are shown to be important variables.

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Authors and Affiliations

  1. Lawrence Livermore National Laboratory, 94550, Livermore, California, USA

    G. R. Gathers

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  1. G. R. Gathers
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Gathers, G.R. Analysis of multiwavelength pyrometry using nonlinear chi-square fits and Monte Carlo methods. Int J Thermophys 13, 539–554 (1992). https://doi.org/10.1007/BF00503888

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  • DOI: https://doi.org/10.1007/BF00503888

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