论文标题
在非线性辐射转移方程中的发射系数的重建
Reconstruction of the emission coefficient in the nonlinear radiative transfer equation
论文作者
论文摘要
在本文中，我们研究了辐射传输方程的反问题，该方程与$ \ Mathbb {r}^n $，$ n \ geq 2 $中的非散发介质中的热方程式结合在一起。两个方程式通过非线性黑体发射项耦合，该术语与温度的第四功率成正比。通过测量黑体表面上的辐射强度，我们证明系统的发射特性可以唯一地重建。特别是，我们设计了一个重建过程，该过程仅使用一组实验设置来完全恢复发射参数。
In this paper, we investigate an inverse problem for the radiative transfer equation that is coupled with a heat equation in a nonscattering medium in $\mathbb{R}^n$, $n\geq 2$. The two equations are coupled through a nonlinear blackbody emission term that is proportional to the fourth power of the temperature. By measuring the radiation intensity on the surface of the blackbody, we prove that the emission property of the system can be uniquely reconstructed. In particular, we design a reconstruction procedure that uses merely one set of experiment setup to fully recover the emission parameter.
