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无透镜傅里叶变换全息图在欠采样条件下的数值再现分析
Analysis of Numerical Reconstruction of Lensless Fourier Transform Holograms
【摘要】 在理论分析无透镜傅里叶变换全息图记录的基础上,结合CCD的结构特点,用傅里叶频谱方法具体研究了无透镜傅里叶变换全息图在欠采样条件下的再现问题.指出在无透镜傅里叶变换全息术中,对有限尺寸物体而言,在记录过程不满足申农(Shannon)采样定理的条件下,仍能完整再现出物体的像.同时对再现像的变化特点进行了理论说明.所得的实验结果与理论分析一致.
【Abstract】 Based on the theory of recording lensless Fourier transform holograms and the structure of CCD,the numerical reconstruction of the under-sampled lensless Fourier transform holograms are studied with Fourier spectrum.An important conclusion is achieved:when the Shannon sampling condition is not fulfilled in recording the holograms,a objective with limited size can be still reconstructed.At the same time,the changed characteristics of the reconstructed images are analyzed.Experimental results show a good agreement with theoretical analysis.
【Key words】 Lensless Fourier transform holograms; CCD; Spectrum analysis;
- 【文献出处】 光子学报 ,Acta Photonica Sinica , 编辑部邮箱 ,2007年10期
- 【分类号】O438
- 【下载频次】269