对梯度折射率半透明介质内辐射热平衡温度场进行了计算,考察了黑壁面及镜反射半透明界面时,线性和正弦两种不同折射率分布对温度分布的影响.当介质层边界为黑壁面,辐射能从光密介质向光疏介质传递时发生全反射导致某个热源在换热中的作用增大.当介质层具有镜反射半透明边界,除上述作用外,界面处的辐射换热也对介质内温度场产生影响.

The temperature field of a semitransparent medium with gradient index was calculated. Two types of the refractive index distribution with black boundaries or specular semitransparent boundaries were discussed. One is linear refractive index distribution, and the other is sinusoidal refractive index distribution. We focused on their influence on the temperature field. When the medium has black boundaries, the inner total reflective happens; while the radiative energy transferred from optically denser medium to optically thinner medium, one boundary’s influence to the heat transfer will be enhanced. When the medium has specular semitransparent boundaries, other than the above effect, the heat transfer happened on the boundaries also affects the inner temperature field of the medium.