| 应用二维窗口傅里叶变换实现全息图数值再现 |
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| 引用本文： | 翁嘉文,杨初平,黄迪.应用二维窗口傅里叶变换实现全息图数值再现[J].光学与光电技术,2009,7(4):45-48,57. |
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| 作者姓名： | 翁嘉文 杨初平 黄迪 |
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| 作者单位： | 1. 华南农业大学物理系,广东,广州,510642;暨南大学光电工程系,广东,广州,510632
2. 华南农业大学物理系,广东,广州,510642 |
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| 基金项目： | 华南农业大学校长基金 |
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| 摘 要： | 应用二维高斯窗口傅里叶变换对全息图进行局部分析。首先定义二维窗口傅里叶变换，并从理论上证明通过二维高斯窗口傅里叶变换所获得的叠加频谱与傅里叶变换所获得的频谱是一致的。对菲涅尔全息图进行数值再现时，通过提取窗口区域内局部全息图的＋1级频谱信息，并随着窗口中心在整幅全息图上逐点移动，将窗口傅里叶变换局部分析所获得的＋1级频谱叠加求和，可有效地重构出与＋1级衍射像相对应的完整频谱信息，在一定程度上改善了0级以及±1级衍射像所对应的不同频谱之间的串扰，提高了再现像的质量。
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| 关 键 词： | 全息 数值再现 空间滤波 二维窗口傅里叶变换 |
Numerical Reconstruction of Holography Based on Two-Dimensional Window Fourier Transform |
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| WENG Jia-wen,YANG Chu-ping,HUANG Di.Numerical Reconstruction of Holography Based on Two-Dimensional Window Fourier Transform[J].optics&optoelectronic technology,2009,7(4):45-48,57. |
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| Authors: | WENG Jia-wen YANG Chu-ping HUANG Di |
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| Institution: | 1 Department of Physics, South China Agricultural University, Guangzhou 510642, China 2 Department of Optoelectronic Engineering, Jinan University, Guangzhou 510632, China ) |
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| Abstract: | Two-dimensional （2-D） window Fourier transform is used to analyze the digital hologram. At first, the two-dimensional （2-D） Gauss function and the 2-D window Fourier transform are introduced. It proves that the sum of the spectrum obtained by the 2-D window Fourier transform is equal to the spectrum obtained by the Fourier transform in theory. For the analysis of the digital holography, the ＋1 spectrum is extracted in the window with the Gauss function and by changing the central position of the window. The precision of the reconstructed image can be improved. |
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| Keywords: | holography numerical reconstruction spatial filtering 2-D window Fourier transform |
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