The aim of this paper is to retrieve the temperature-dependent refractive index distribution in parallel-plane semi-transparent media with combined conduction-radiation heat transfer, by the measurement of exit intensities over the boundaries. The finite volume method in combination with the discrete ordinates method is used to solve the energy equation. The results of the direct solution for both linear-spatially and linear-temperature-dependent refractive index distributions are compared and the effects of the main parameters are examined. The results confirm a remarkable difference between the results for spatially and temperature-dependent refractive index profiles. Finally, the refractive index profile is estimated using the conjugate gradient method in an inverse manner. The coefficients of the linear profile are estimated for three cases with different levels of measurement errors; 1%, 3% and 5%. The results show that the temperature-dependent refractive index distribution can be retrieved in a good range of errors for noisy data.

本文的目的是通过测量边界上的出口强度来检索具有组合传导-辐射传热的平行平面半透明介质中与温度相关的折射率分布。有限体积法结合离散坐标法用于求解能量方程。比较了线性空间和线性温度相关折射率分布的直接求解结果，并检查了主要参数的影响。结果证实了空间和温度相关的折射率分布结果之间的显着差异。最后，使用共轭梯度法以相反的方式估计折射率分布。线性剖面的系数是针对三种不同测量误差水平的情况进行估计的；1%、3% 和 5%。结果表明，对于噪声数据，可以在良好的误差范围内检索与温度相关的折射率分布。