%A XIN Cheng-yun;CHENG Xiao-fang*;ZHANG Zhong-zheng %T Multi-Spectral Thermometry Based on Radiation Measurement within a Finite Solid-Angle %0 Journal Article %D 2013 %J SPECTROSCOPY AND SPECTRAL ANALYSIS %R 10.3964/j.issn.1000-0593(2013)02-0316-04 %P 316-319 %V 33 %N 02 %U {https://www.gpxygpfx.com/CN/abstract/article_6110.shtml} %8 2013-02-01 %X 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.