【摘要】 用波前相因子判断法 ,分析了分数傅里叶变换频谱分布与球面波照明物体的自由空间菲涅耳衍射光场分布的等效性 ,给出了分数傅里叶变换与菲涅耳衍射相互转化的约束条件。结果表明 :分数傅里叶变换是适应于菲涅耳衍射的数学工具。计算机模拟实验证明了结论的可靠与可行。更多还原

【Abstract】 Using the phase factor,we analyze the equivalency between fractional Fourier transform and Fresnel diffraction in the free space.The object is illuminated by sphere light wave.We give out the constraint condition which fractional Fourier transform change into Fresnel diffraction.The result indicates that fractional Fourier transform is the proper mathematic tools to study Fresnel diffraction.Its reliability and feasibility are demonstrated by computer simulation.更多还原