光谱学与光谱分析 |
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Multi-Spectral Thermometry Based on Radiation Measurement within a Finite Solid-Angle |
XIN Cheng-yun, CHENG Xiao-fang*, ZHANG Zhong-zheng |
Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei 230027, China |
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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.
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Received: 2012-06-14
Accepted: 2012-10-02
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Corresponding Authors:
CHENG Xiao-fang
E-mail: xfcheng@ustc.edu.cn
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