• Spectroscopy and Spectral Analysis
  • Vol. 33, Issue 2, 316 (2013)
XIN Cheng-yun*, CHENG Xiao-fang, and ZHANG Zhong-zheng
Author Affiliations
  • [in Chinese]
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    DOI: 10.3964/j.issn.1000-0593(2013)02-0316-04 Cite this Article
    XIN Cheng-yun, CHENG Xiao-fang, ZHANG Zhong-zheng. Multi-Spectral Thermometry Based on Radiation Measurement within a Finite Solid-Angle[J]. Spectroscopy and Spectral Analysis, 2013, 33(2): 316 Copy Citation Text show less

    Abstract

    Based on Planck’s law, the surface temperature of an object can be determined by measurement of emitted radiation. The equation for monochromatic radiation thermometry within a finite solid-angle was deduced, and it was found that if the surface temperature and spectral emissivity can be solved at the same time, the specific radiation measurement conditions for multi-spectral thermometry should be generally met that the radiation measurement should be implemented within an infinitesimal solid-angle or within a finite solid-angle only for a perfect diffuser. When the directional spectral emissivity modeled by finite polynomial series is employed and proper mathematical transformation is used, a universal equation for monochromatic radiation thermometry is obtained. So the restrictions in radiation measurement can be got rid of, but spectral emissivity may not be solved simultaneously. Multi-solution problem was preliminarily investigated, and so a solution was put forward that the channel number should be more than the number of the variables to be solved and the nonlinear least squares method should be used.
    XIN Cheng-yun, CHENG Xiao-fang, ZHANG Zhong-zheng. Multi-Spectral Thermometry Based on Radiation Measurement within a Finite Solid-Angle[J]. Spectroscopy and Spectral Analysis, 2013, 33(2): 316
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