轴对称介质内辐射源项反演算法

Inverse analysis of radiative source term distribution in axisymmetric medium

结合Abel变换和离散坐标法,提出了一种基于CCD相机采集的单幅辐射图像重建轴对称发射-吸收介质内辐射源项分布的反演算法。通过在求解辐射正问题得到的准确值的基础上,添加随机噪声模拟试验测量数据,分析了网格数目、辐射源项分布形式、吸收系数和测量误差对算法反演精度的影响。测试结果表明:该算法对测量误差不敏感,在有测量误差的情况下也能够准确的重建介质内的辐射源项分布。

An inverse radiation problem is considered to reconstruct the radiative source term distribution in axisym- metric absorbing-emitting medium, from the knowledge of the exit radiative energy image captured by the CCD camera. The inverse problem is formulated using a combined method of Abel transform and an expanded discrete ordinate method. Through adding random noise to the exact results calculated by solving the forward problem, the experiment measurement data are simulated, and the estimation accuracy of the algorithm is investigated. Test results show that the source term can be estimated accurately, even with noisy data.