摘要
辐射测温以Planck定律为基础通过测量物体表面的发射辐射来反演温度。推导了有限立体角辐射测量条件下的单色测温方程,发现多光谱辐射测温能够实现温度和光谱发射率同时求解通常需满足特定的辐射测量条件:进行微元立体角辐射测量或仅针对漫发射体的有限立体角辐射测量。引入多项式发射率模型,经过数学转化,可以摆脱以上测量限制,得到具有测量普适性的单色测温方程,但却不一定能同时测量光谱发射率。对测温方程组的多解问题进行了初步研究,提出使测量通道数大于待求变量数及采用非线性最小二乘来解决此问题。
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 sur-face 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 sol- id-angle or within a finite solid-angle only for a perfect diffuser. When the directional spectral emissivity modeled by finite poly-nomial series is employed and proper mathematical transformation is used, a universal equation for monochromatic radiation ther-mometry 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 num- ber should be more than the number of the variables to be solved and the nonlinear least squares method should be used.
出处
《光谱学与光谱分析》
SCIE
EI
CAS
CSCD
北大核心
2013年第2期316-319,共4页
Spectroscopy and Spectral Analysis
基金
国家自然科学基金项目(50976112)资助
关键词
定向光谱发射率
辐射测温
多波长测温
多光谱测温
Directional spectral emissivity
Radiation thermometry
Multi-wavelength thermometry
Multi-spectral thermometry
