一维辐射系统吸收系数的反问题

INVERSE PROBLEM OF ABSORPTION COEFFICIENT IN ONE-DIMENSIONAL RADIATIVE SYSTEM

辐射反问题是当前的研究热点之一。本文采用离散坐标法求解正问题,用共轭梯度法求解一维系统吸收系数的反问题。用正问题的计算结果加上误差作为反问题的求解条件。数值计算的结果表明,共轭梯度法可以比较好的反演辐射系统的吸收系数。在考虑散射时,反演效果比不考虑散射的反演效果好。

Inverse radiation problem is the hot spot of the current research. In this paper, the forward problem was solved by discrete ordinate method and inverse problem is solved by conjugate gradient method. The computing result, added into error is used as the solving condition of the inverse problem. The numerical results show that, the conjugate gradient method can solve the absorption coefficient well in one dimensional system. The effect of inverse analysis considering scattering is better than neglecting scatting.