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由于Ｘ射线ＣＴ的发展存在一些自身无法克服的困难，寻找新的辐射源并探索新的重建理论和方法具有重要的理论和实际应用价值。作者根据Ｘ射线ＣＴ的成果和电磁波逆散射原理，推导了微波衍射ＣＴ的理论，首次提出了用于衍射ＣＴ的傅立叶域公式算法，并设计了用该算法实现介质体断层重建的软件系统，据此完成了不同半径，不同介电常数圆柱体的断层介电常数分布图形的重建，结果正确。作者所研究的理论和算法也为Ｘ射线ＣＴ的深入研究开辟了新的途径，对由部分信息重建断层图像的研究有参考和应用价值。
X-ray CT has some insurmountable difficulties in its development. It is of great theoretical and practical value to search for new radiation sources and explore new reconstruction theories and methods. Based on the results of X-ray CT and the principle of inverse scattering of electromagnetic waves, the author deduces the theory of microwave diffraction CT. For the first time, the formula of Fourier domain formula for diffraction CT is proposed and the software system for the reconstruction of media body fault is designed. This completes the reconstruction of the fault dielectric permittivity distribution of cylinders with different radius and different dielectric constant, and the result is correct. The theories and algorithms studied by the authors also open up new avenues for the further study of X-ray CT, which is of reference and application value for the research of reconstructing tomographic images from partial information.