中文摘要：

本文基于基函数展开法的Abel变换方法对圆柱对称光学薄介质红外辐射强度进行了反演研究。给出了反演模型的推导过程，采用模拟实验方法对高斯型、单峰型、双峰型三种典型分布的模拟实验数据进行反演计算，结果表明采用该方法可以准确地反演出所拍摄目标中任一点的红外辐射强度值。此外，本文研究了含噪声的实验数据对反演结果的影响，结果表明信噪比达40时该方法仍可以得到较好的反演结果，说明该方法对实验数据噪声不敏感。

英文摘要：

This paper presents an inversion study on infrared intensity of the cylindrical symmetry optically thin materials. The derivation process of inversion model is given. Simulation test method is used to inverse the simulation experimental data of three kinds of typical distribution, Gauss type, single peak type and double peak type. The results show that this method can inverse the infrared radiation intensity at any point of the target. In addition, the influence of noise on the inversion result was studied. The results show that a good inversion result is guaranteed when the signal-to-noise ratio is below 40 which means this method is not sensitive to noise of the experimental data.