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菲涅耳全息图的数字再现方法比较
引用本文:张燕,刘轩.菲涅耳全息图的数字再现方法比较[J].山东师范大学学报(自然科学版),2007,22(3):47-49.
作者姓名:张燕  刘轩
作者单位:1. 山东师范大学物理与电子科学学院,250014,济南;山东协和职业技术学院,250109,济南
2. 山东建筑大学理学院,250101,济南
摘    要:基于标量衍射理论和快速傅利叶变换,详细分析了菲涅耳衍射积分的三种计算机模拟算法,并将这三种算法运用到菲涅耳全息图的数字过程中.理论分析表明,在全息图的像素数、抽样间隔以及再现波长一定的情况下,按抽样对象的不同,菲涅耳衍射积分的计算机模拟算法可分为卷积法、角谱法、直接傅利叶变换法.通过对相位函数局域空间频率的分析,给出了判定算法适用范围的特征再现距离,并分析得出,再现距离大于特征再现距离时,适合用卷积法;小于特征再现距离时,适合采用角谱法;等于特征再现距离时三种方法都适用.

关 键 词:角谱法  卷积法  直接傅利叶变换法  菲涅耳全息图
修稿时间:2007-01-08

COMPARISON OF DIGITAL RECONSTRUCTION METHODS OF FRESNEL HOLOGRAM
Zhang Yan,Liu Xuan.COMPARISON OF DIGITAL RECONSTRUCTION METHODS OF FRESNEL HOLOGRAM[J].Journal of Shandong Normal University(Natural Science),2007,22(3):47-49.
Authors:Zhang Yan  Liu Xuan
Abstract:Three computer simulated algorithms of Fresnel diffraction integral are analyzed in detail based on scalar diffraction theory and fast Fourier transform.These three algorithms are applied in digital reconstruction program for Fresnel holograms.Theoretical analysis proves that,when the pixel number,pixel size and reconstructed wavelength of the hologram are certain,computer simulated algorithms of Fresnel diffraction integral fall into convolution algorithm,angular spectrum algorithm and direct Fourier transform algorithm according to the difference of the sampled object.By analyzing the local spatial frequence of phase function,a proper reconstructed distance used to deternine the applicable range of three algorithms is obtained.And above analysis indicated the following results:if the reconstructed distance is larger than proper reconstructed distance,convolution algorithm is the best algorithms;if reconstructed distance is less than proper reconstructed distance,angular algorithm is the best algorithms if reconstructed distance is equal to proper reconstructed distance,all three algorithms are suitable.
Keywords:convolution algorithm  angular spectrum  direct Fourier transform algorithm  Fresnel hologram
本文献已被 CNKI 维普 万方数据 等数据库收录!
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