Abstract：True surface temperatures can be determined by measurements of radiation emitted by the object. The non-spectral parameter in the radiation measurement equation is the function of the relative position between the target and the lens, so calibration of space position is necessary for temperature measurement, when emissivity and temperature are measured simultaneously. In the present paper, the non-spectral parameter was included into the undetermined coefficients of emissivity modeled by finite series, which will not affect the solution of true surface temperature. Therefore, radiation thermometry can be accomplished without calibration of space position and normalization of measurement data. And not the true spectral emissivity but the trend of it can be measured. Two special examples were investigated, respectively. The results indicate that when the effective wavelength of each channel is different, multi-wavelength radiation thermometry equations have the unique solution, while the number of the multiband ones may be zero, one, two or even three.
[1] Magunov A N. Instruments and Experimental Techniques, 2009，52(4): 451. [2] SUN Xiao-gang, DAI Jing-min, CONG Da-cheng, et al(孙晓刚，戴景民，丛大成，等). Journal of Infrared and Millimeter Waves(红外与毫米波学报), 1998，17(3): 221. [3] Gardner J L, Jones T P. Journal of Physics E-Scientific Instruments, 1980，13(3): 306. [4] Coates P B. Metrologia, 1981，17(3): 103. [5] Fu Tairan, Cheng Xiaofang, Zhong Maohua. Science in China Series G-Physics Mechanics & Astronomy, 2007，50(6): 753. [6] Cheng Xiaofang, Fu Tairan, Fan Xueliang. Science in China Series G-Physics Mechanics & Astronomy, 2005，48(2): 142. [7] Fu Tairan, Cheng Xiaofang, Fan Xueliang, et al. Metrologia, 2004, 41(4): 305. [8] GE Xin-shi, YE Hong-yi(葛新石，叶宏译). Fundamentals of Heat and Mass Transfer(Sixth Edition)(传热和传质基本原理). Beijing: Chemical Industry Press(北京：化学工业出版社), 2007. 451. [9] DAI Jing-min(戴景民). Theory and Practice of Multi-spectral Thermometry(多光谱辐射测温理论与应用). Beijing: Higher Education Press(北京：高等教育出版社), 2002. 10. [10] Fu Tairan, Cheng Xiaofang, Wu Bo, et al.. Measurement Science & Technology, 2006. 17(2): 379. [11] Fu Tairan, Cheng Xiaofang, Wu Bo, et al.. Measurement Science & Technology, 2006. 17(10): 2751. [12] WANG An-quan, CHENG Xiao-fang, WANG Ru(王安全，程晓舫，王 铷). Journal of University of Science and Technology of China(中国科学技术大学学报), 2002，32(4): 498. [13] FU Tai-ran, CHENG Xiao-fang, ZHONG Mao-hua(符泰然，程晓舫，钟茂华). Engineering Science(中国工程科学), 2008，10(7): 73.
