Viskanta R, Hommert P J, Groninger G L
Appl Opt. 1975 Feb 1;14(2):428-37. doi: 10.1364/AO.14.000428.
A spectral remote sensing method for recovering the temperature distribution in semitransparent solids from remotely sensed spectral emission data is studied. An analytical model that relates the emerging spectral intensity from a plane layer of solid heated by an external radiation source to the temperature distribution, spectral radiation properties, radiation characteristics of the interfaces of the solid, and the source is formulated. The temperature profile is expressed in the form of a finite series of Legendre polynomials; and the coefficients are obtained using an optimization scheme that, by iteratively solving the expressions for emerging intensity, reconstructs the distribution that best fits the spectral emission data. The validity and accuracy of the remote sensing method is evaluated by comparing the recovered temperature with independent measurements in two different experiments; one using surface thermocouples only and the other a Mach-Zehnder interferometer. Experimental results are reported for PPG clear float glass and Corning Code 7940 fused silica using a Perkin-Elmer spectrometer and Barnes Spectralmaster radiometer to measure the emerging spectral radiant energy. For clear float glass, the recovered temperatures were a maximum of 1.5% higher than those measured with surface thermocouples. For fused silica, the linear recovered and interferometrically measured temperature profiles agreed well, with the maximum deviation never exceeding approximately 2% up to about 1000 K.
研究了一种从遥感光谱发射数据中恢复半透明固体温度分布的光谱遥感方法。建立了一个分析模型，该模型将由外部辐射源加热的固体平面层的出射光谱强度与温度分布、光谱辐射特性、固体界面的辐射特性以及辐射源联系起来。温度分布以勒让德多项式的有限级数形式表示；系数通过一种优化方案获得，该方案通过迭代求解出射强度的表达式，重建最符合光谱发射数据的分布。通过在两个不同实验中将恢复的温度与独立测量值进行比较，评估了遥感方法的有效性和准确性；一个实验仅使用表面热电偶，另一个实验使用马赫 - 曾德尔干涉仪。报告了使用珀金 - 埃尔默光谱仪和巴恩斯光谱大师辐射计测量出射光谱辐射能时，对PPG透明浮法玻璃和康宁7940号熔石英的实验结果。对于透明浮法玻璃，恢复的温度比用表面热电偶测量的温度最高高1.5%。对于熔石英，恢复的线性温度分布与干涉测量的温度分布吻合良好，在高达约1000K时，最大偏差从未超过约2%。
