分数傅里叶变换全息图及其再现像的解析性

Fractional Fourier Transform Hologram and the Analyticity of Its Reappear Image

将分数傅里叶变换用于全息图制作，针对各种记录方式，全面研究了分数傅里叶变换全息图无透镜再现像的共轭关系和放大率关系，确切完整地给出了分数傅里叶全息术傍轴几何光学理论的数学表达和物理解释。计算机模拟实验证明了结论的可靠与可行。

Fractional Fourier transform is applied to produced hologram. For different recording methods, we study the conjugate relation and the magnification relation of the non lens reappear image of the fracional Fourier transform hologram. The mathematical expression and the physical interpretation in the condition of the paraxial geometrical optics are given. Its reliability and feasibility are demonstrated by computer simulation.