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数字离轴无透镜傅里叶变换全息重建方法研究

Study of the reconstructing methods of the digital off-axis lens-less Fourier transform hologram

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摘要

为了提高再现像质量,对数字全息常见算法进行了比较研究。根据全息理论和线性系统理论,研究了利用菲涅耳近似法和基于瑞利-索末菲衍射积分的卷积法数值重建离轴无透镜傅里叶变换全息的方法,并做了计算机模拟。结果表明,在记录距离很短的情况下,尽管记录距离不满足通常的菲涅耳近似条件,菲涅耳近似公式仍然成立;自由空间脉冲响应的快速傅里叶变换在不同的记录距离性质不同,由瑞利-索末菲衍射积分利用卷积方法得到的再现像质不理想;对于离轴无透镜傅里叶变换全息显微来说,菲涅耳近似重建方法优于卷积方法。

Abstract

In order to improve quality of reconstructed images,the common algorithms used to reconstruct digital holograms was studied by means of comparison. According to the theorems of holography and linear system,the reconstructing methods of the off-axis lens-less Fourier transform hologram by Fresnel diffraction formula and by the convolution method based on RayleighSommerfeld diffraction integral were studied through simulation. The results show that Fresnel diffraction formula is still correct within very short recording distance,although the traditional Fresnel approximate condition isn't fulfilled. The characters of the fast Fourier transform of the free space impulse response are different at different distance,so the quality of the reconstructed image by the convolution isn't perfect. For the microscopy by off-axis lensless Fourier transform holography,Fresnel reconstructing method is better than the convolution method.

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中图分类号:O438.1

所属栏目:应用

基金项目:北京市留学人员科技活动择优资助项目

收稿日期:2006-04-09

修改稿日期:2006-05-26

网络出版日期:0001-01-01

作者单位    点击查看

王华英:北京工业大学 应用数理学院,北京 100022河北工程大学 理学院,邯郸 056038
王大勇:北京工业大学 应用数理学院,北京 100022
谢建军:北京工业大学 应用数理学院,北京 100022
陶世荃:北京工业大学 应用数理学院,北京 100022

联系人作者:王大勇(wdyong@bjut.edu.cn)

备注:王华英|女|博士研究生|研究方向为光学信息处理与数字全息技术|(1963-)

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引用该论文

WANG Hua-ying,WANG Da-yong,XIE Jian-jun,TAO Shi-quan. Study of the reconstructing methods of the digital off-axis lens-less Fourier transform hologram[J]. Laser Technology, 2007, 31(3): 0288

王华英,王大勇,谢建军,陶世荃. 数字离轴无透镜傅里叶变换全息重建方法研究[J]. 激光技术, 2007, 31(3): 0288

被引情况

【1】王华英,王广俊,谢建军,赵洁,王大勇. 数字全息显微中的准直光再现. 激光技术, 2008, 32(2): 131-133

【2】张庆生,吕晓旭,余清婷,刘赣勇. 基于灰度相关的数字全息孔径合成方法. 激光技术, 2009, 33(3): 276-278

【3】余清婷,吕晓旭,张庆生,刘赣勇. 基于任意相移量的4步相移数字全息新方法. 激光技术, 2009, 33(4): 409-412

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