Shirley J H, Eberly J H
Appl Opt. 1979 Nov 15;18(22):3810-4. doi: 10.1364/AO.18.003810.
The local effective emissivity for a point on the interior surface of a diffusely reflecting blackbody cone obeys an integral equation. A new analytic approximate solution of the integral equation is presented. This approximation is very good for interior portions of narrow cones where the effective emissivity is very close to unity. Another approximation of Kelley is better near the mouth of a narrow cone. Either approximation works for wide angle cones. The new approximation is modified to give a quantitative estimate of the effects of a temperature gradient along the side of the cone.
漫反射黑体圆锥内表面上某一点的局部有效发射率服从一个积分方程。给出了该积分方程的一种新的解析近似解。这种近似对于窄圆锥内部有效发射率非常接近1的部分非常适用。凯利的另一种近似在窄圆锥口附近效果更好。两种近似对广角圆锥都适用。对新的近似进行了修正，以定量估计沿圆锥侧面温度梯度的影响。
