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,结果表明信嗓比达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. In this paper, based on Abel transformation of basis function expansion method, the infrared radiation intensity of cylindrical symmetric optical thin media is inversely studied. The derivation process of inversion model is given. The Gaussian, unimodal, bimodal The results show that the infrared radiation intensity at any point in the captured target can be accurately retrieved by this method.In addition, the experimental data with noises are studied for the inversion results The results show that the method can still get better inversion results when the signal-to-noise ratio reaches 40, which shows that this method is insensitive to experimental data noise.