Based on the theory of fractional Fourier transform (FRT) and one of its very important parameter, fractional order, the relationship between FRT and Fresnel diffraction are deduced and analyzed.

• 摘要基于分数傅里叶变换理论并以分数阶这一重要参量为纽带，推导和分析了分数傅里叶变换与菲涅耳衍射之间的关系；