黑体辐射逆问题指的是从所测得的黑体辐射能谱确定黑体的面温度分布。本文利用函数变换,把相应的积分方程化为卷积形式,从而可用Fourier变换给出解的明确表达式。由此不但可用快速Fourier变换(FFT)进行数值计算,而且免除了前人工作中所未解决的存在唯一性和收敛性问题。此种方法可用来解决许多物理上感兴趣的第一类Fredholm积分方程。 Inverse problem of blackbody radiation refers to determining the surface temperature distribution of blackbody from the measured blackbody radiation energy spectrum. In this paper, using the function transformation, the corresponding integral equation is transformed into the convolution form, so that the explicit expression of the solution can be given by the Fourier transform. This not only makes use of Fast Fourier Transform (FFT) for numerical calculation, but also avoids the unresolved uniqueness and convergence of the previous work. This method can be used to solve many Fredholm integral equations of the first kind that are of physical interest.