中文摘要：

采用共光路径向剪切干涉法测量三维温度场,通过两块波带板将待测波面分离成放大或缩小倍数不同的两波面进行径向重叠,在叠加区域实现剪切干涉。利用光学层析技术重建三维温度场,由于数据的非完全性,通常采用的代数迭代算法不能很好地解决重建精度这一问题。为此在算法中引入了包含先念知识的属性矩阵,采用了变超松弛系数,根据7个方向条纹扰动重建三维温度场。结果表明,引入了属性矩阵和变超松弛系数的迭代算法能够很好地重建非完全数据的三维温度场。

英文摘要：

The common optical path radial shearing interferometry is adopted to measure 3-D temperature field,the tested wavefront is divided into two wavefronts that have different amplificatory or contractible multiple by two zone plates,the two wavefronts make radial shearing interference in their overlap area.The 3-D temperature field was reconstructed by optical computerized tomography（OCT）,the algebra is usually used cannot solve the problem of reconstruction precision very well for incomplete data in the process of reconstructing.So the property matrix including the prior knowledge is introduced,an unfixed ultra-relaxation coefficient is adopted to reconstruct the 3-D temperature field according the image distribution of seven directions in the algorithm.The results indicate that the algorithm with property matrix and unfixed ultra-relaxation coefficient can reconstruct the 3-D temperature field of incomplete data satisfactorily.