光学实验教学中引入数字全息实验的探讨

数字全息技术是一项新型的成像及测量技术,它融合了计算机技术、数字图像处理技术和传统光学全息的特点,具有非常广阔的应用前景,是科学前沿中较为活跃的研究领域.将数字全息实验引入到光学实验教学中,可以使学生掌握CCD图像采集设备及其他光电子器件的使用方法,提高综合实践能力,更能形象地理解光波场传播规律.并且通过将较为抽象的菲涅耳衍射理论、全息图原理、抽样定理及离散傅里叶变换等应用到实验之中,能够进一步激发学生的学习兴趣,加深对理论知识的掌握.     

利用单幅同轴菲涅耳数字全息图重构物光波面

在数字全息研究中,为了充分利用CCD器件有限的卒间带宽积,常采用同轴全息记录.然而用同轴全息图再现时,再现物光波和共轭物光波是混在一起无法分开的.有效消除同轴全息图再现光波场中的共轭像是数字全息应用中的一项关键技术.基于菲涅耳衍射运算和逆运算,提出一种用同轴数字全息图重构物光波面的迭代算法.该方法利用同轴全息图再现时,再现物光波和共轭物光波衍射特性的不同来剔除共轭物光波成分,从而将再现物光波成分有效分离出,实现单幅同轴全息图的物光波面数值重构.计算机模拟实验证明了该方法简单易行.     

共轭对称延拓傅里叶计算全息

提出一种计算全息算法,将物光波进行共轭对称延拓,经快速傅里叶变换直接生成实函数,其中包含物光波的幅度和相位信息,可编码得到灰度全息图.利用此全息图可清晰地再现原物光波.通过共轭延拓生成计算全息图的方法与以往基于干涉的计算全息不同之处在于,这里并不需要模拟物光和参考光的干涉,计算效率很高.利用生成的全息图在数字再现和光电再现实验中均获得了良好的效果.理论推导和实验结果都验证了算法的有效性. 关键词： 计算全息 共轭对称 数字再现 光电再现     

基于滤波成像的大视角数字全息技术

为提高数字全息再现像视角,提出一种基于滤波成像的数字全息技术来实现大视角的三维物体面型测量.利用离轴像面数字全息技术,通过在4F相干图像处理系统的空间频谱面处放置可移动的低通滤波器,使满足CCD分辨率的物光波与参考光波干涉形成全息图,并控制低通滤波及成像区域分别记录不同谱段的子全息图.再现时,首先对子全息图进行数字傅里叶变换,重构对应频谱段,并对频谱段进行拼接形成完整的物光频谱|而后通过数字再现获得大视角的数字全息再现像.利用该方法测量了圆柱形表面（光滑的缝纫针）的三维形貌,并取得了较好的实验结果.     

基于滤波成像的大视角数字全息技术

为提高数字全息再现像视角,提出一种基于滤波成像的数字全息技术来实现大视角的三维物体面型测量.利用离轴像面数字全息技术,通过在4F相干图像处理系统的空间频谱面处放置可移动的低通滤波器,使满足CCD分辨率的物光波与参考光波干涉形成全息图,并控制低通滤波及成像区域分别记录不同谱段的子全息图.再现时,首先对子全息图进行数字傅里叶变换,重构对应频谱段,并对频谱段进行拼接形成完整的物光频谱;而后通过数字再现获得大视角的数字全息再现像.利用该方法测量了圆柱形表面(光滑的缝纫针)的三维形貌,并取得了较好的实验结果.     

数字全息再现像中零级干扰噪声消除及图像增强研究

利用基于图像处理的微分梯度方法预先对数字全息图进行空间域的图像增强操作,可以达到消除全息再现时的零级衍射干扰的目的.它无需其它辅助设备或多次全息记录,是一种方便简洁的处理方法.在理论分析和数字再现结果中都表明,该方法不仅能够有效地消除零级衍射像,同时对于真实像的再现质量有着显著提高.     

基于数字闪耀光栅的位相全息图光电再现优化

针对利用液晶空间光调制器（LC-SLM）进行全息图光电再现过程中,再现像面存在多级衍射像造成单一像能量利用率低的问题,提出了一种在位相全息图中加载数字闪耀光栅的方法,以提高全息图光电再现中单一衍射像的衍射效率.分析了闪耀光栅作为衍射光学元件的特性及其对光波进行位相调制的原理,并阐述了在LC-SLM中加载数字闪耀光栅对位相全息图光电再现时像面能量分布的影响.搭建了基于LC-SLM的位相全息图光电再现实验系统.理论分析表明：在其他条件不变的情况下,加载竖直（或水平）槽向周期为2 pixels的数字闪耀光栅可使 关键词： 全息光电再现 位相全息图 数字闪耀光栅 液晶空间光调制器     

反射式数字全息显微术对细胞的研究

根据全息理论和光的衍射理论，理论分析了数字全息显微术原理，并依据四步相移和最小二乘相位展开技术，研究了重构细胞相位的方法.设计了用球面光波作为参考光的反射式数字全息显微光路，通过反射式数字全息显微术的方法分析研究了新鲜洋葱表皮细胞的形貌结构.实验以新鲜洋葱表皮细胞为样本，完成了实验检测和相位重构，得到了细胞的相位和三维信息.分析表明，系统理论分辨率应达到0.8 μm.     

通过雾成像的全息技术的进一步研究

本文对运用通过雾成像的全息技术和光栅干涉技术作了一个简单的综述,旨在提高全息图衍射效率和相应,再现像信噪比的全息-滤波综合技术.讨论了物光波和参考光波都通过雾的情形及反射物体通过雾成像的全息技术,给出了相应的实验结果.     

数字全息的计算机仿真

根据光的标量衍射理论,分析了在数字全息模拟过程中把物光、参考光和再现光离散化的方法,以离散菲涅耳衍射积分为基础,采用Matlab软件实现全息图的数字记录和数字重构的模拟,给出了模拟结果.     

Effect of intensity quantization level in parallel phase-shifting digital holography

Parallel phase-shifting digital holography (PPSDH) enables the instantaneous recording of three-dimensional fields. The three-dimensional field can be reconstructed using a computer by numerical scalar wave propagation. In PPSDH, we record a space-division multiplexed hologram that includes the required phase retardation in the spatial distribution of the reference wave and then interpolate the data at blanked pixels for each phase retardation to obtain the complex amplitude distribution of an object wave. The recorded quality of the multiplexed hologram influences the reconstruction quality. In this study, we investigate the effect of the intensity quantization of a multiplexed hologram on the reconstruction quality. We compare the influence of intensity quantization in PPSDH with that in the conventional phase-shifting method. Random noise is also added to the multiplexed hologram. The required intensity quantization level is helpful for selecting a digital image sensor.     

菲涅尔数字全息的脉冲响应

数字全息是用CCD记录全息图并用计算机数值重建全息像的一种全息新方法.在数字全息中,通过对不同记录参数下记录的全息图的数值处理,可以消除零级光和共轭光,从而将数字全息系统看作是一个线性系统.本文依据全息理论和付里叶频谱分析,对菲涅尔数字全息系统的脉冲响应和分辨本领进行了理论分析.结果表明,在矩形等间隔抽样的情形下,菲涅尔数字全息的脉冲响应是由CCD有限大小的孔径衍射斑调制的矩形函数;菲涅尔数字全息的分辨率由CCD的孔径尺寸决定;由于CCD像素具有一定的大小,使得点光源的像发生弥散.     

合成孔径数字全息的分析模拟及多参考光合成孔径数字全息

分析了合成孔径数字全息的理论和实现方法,提出了多参考光合成孔径数字全息方法及其应用前景,以双狭缝为例,模拟了单幅及单参考光、多参考光两种合成孔径数字全息术的记录和再现方法,对三种方法再现像的分辨率进行了比较.     

Study on the reduction of speckle noise in the reconstructed image of digital hologram

As one of the most important 3-D display technique, reduction of speckle noise in the reconstructed image of digital holography should be grounded on the digital hologram itself. Based on the whole process of the recording and reconstruction of digital holography, the optical distributions of recorded object and reconstructed image of digital holography have been studied. It has been proposed that the root formation cause of speckle noise in its reconstructed image is the speckle noise formed on the recorded object surface when illuminated by coherent light because of its optical roughness. A novel approach has been presented to reduce speckle noise in digital holography by changing the interference structure of hologram itself. First, by reducing the speckle noise in the reconstructed image, the distribution of ideal reconstruction light with reduced speckle noise is acquired. Then in turn, taking the ideal reconstruction light with reduced speckle noise as ideal object light, a new hologram can be rebuilt, which can reconstruct the ideal object light. The experimental results are given to confirm the proposed method. Therefore, it offers a brand-new thought and practical way to reduce the speckle noise in the reconstructed image of digital holography.     

Watermarking of three-dimensional objects by digital holography

We present an optical method for information watermarking of three-dimensional (3D) objects by digital holography. A hidden image is embedded by double phase encoding in a phase-shift digital hologram of the 3D object. We decode the watermarked hologram to reconstruct the hidden image and the 3D object. We use either the entire hologram or a part of it to decode the hidden image. Experiments are presented to illustrate the ability to recover both the 3D object and the decoded hidden image. Digital holograms of the 3D object are obtained by optical experiments. The watermarking process, 3D object reconstruction, and hidden image recovery are performed digitally. To the best of our knowledge, this is the first report of 3D object watermarking by use of a phase encoding technique and digital holography.     

Numerical reconstruction and twin-image suppression using an off-axis Fresnel digital hologram

In this work we proposed a novel approach for the numerical reconstruction of digital holography that uses only an off-axis Fresnel digital hologram and can easily be carrying out in a personal computer. From the presented off-axis holographic principle, the reference wave accompanies to the numerically reconstructed image, also makes the separation to the zero-order and twin images. Therefore, the concept can be applied to suppress the blurring of numerical reconstruction by adding the extra reconstruction plane and the formularized numerically reference wave in the reconstruction procedure. As expected, the blurring images can be separated out and removed from the reconstructed image. Then, by performing the back propagating to the exact reconstruction plane, one can obtain the pure object image without the blurring. In contrast to the temporal phase-shifting digital holographic-based scheme that employs multiple exposures the technique can be more effectively and easily overcome the blurring problem, also provide the practical feasibility in the digital holographic application. PACS 42.40.-I; 42.30.Wb; 42.40.Ht     

大尺寸物光波面彩色数字全息高质量重建研究

为解决检测面尺寸较大时CCD难以得到高质量数字全息图的问题,本文利用负透镜设计光学系统让CCD接收来自物体的缩小虚像,以球面波为参考波,使用单色CCD近距离得到三种色光照射下的大尺寸彩色物体的数字全息图,然后采用可控放大率波面重建算法得到同一尺寸的数字全息重建像,合成彩色数字全息重建像.同时,使用两种消零级方法去除零级干扰,提高重建像质量,一种方法利用空间光调制器相移技术在参考光中加入一次任意相移,记录两幅数字全息图,消除重建零级像|另一种方法使用“无干扰全息图”消除重建零级像及共轭像.本文讨论结果可为大物体彩色数字全息及多波长数字全息检测应用提供有益的参考.     

球面参考光波数字全息的一些特点分析及实验

对以球面波作为参考光记录数字全息图的采样和再现分离条件进行了详细的分析。推导出了同时满足采样和再现分离条件时,CCD及物体的横向尺寸、物体及参考光源至CCD的距离之间需要满足的关系式,证明了完全散射物体上复振幅在记录面上的叠加可以等效为一个点光源在记录面上产生的效果,进行了相应的实验研究。结果表明：数字全息术中采用球面参考光波可以比采用平面参考光波更容易满足采样和分离条件,并可以记录到更多的物体信息;在物体至CCD的距离固定的情况下,无透镜傅里叶变换全息术是优化的记录光路结构;散射物体比衍射物体的数字全息图更容易满足采样和分离条件。     

像面数字全息的重建相位误差分析和改善

像面数字全息是数字全息技术中常用的测量和成像方式,它通常采用离散傅里叶变换和频率滤波的方法进行物光波的重建.本文讨论了这些算法对重建相位的影响.首先分析了频谱泄露对于相位误差的影响,结果表明当采样周期为整数时,重建相位误差很小,因此具有极高的相位重建精度;而当不满足整周期采样时,相位重建误差有了明显的增加.为了改善频谱泄露所引起的相位误差,采用Hanning函数对数字全息图进行了预处理,结果表明Hanning窗的加入能够有效地提高重建相位的准确程度.     

Numerical reconstruction in in-line digital holography by translation of CCD position and gradient operator method

We propose an approach based on axial translation of a charge-coupled device (CCD) and gradient operator method for numerical reconstruction in in-line digital holography. The object wave in the hologram (or CCD) plane is determined using one position translation of CCD, and a phase-shifting device can be fully avoided. Gradient operator method is further applied to detect the focal plane of an object, and the object wave is reconstructed by an angular spectrum algorithm with the detected focal distance. The feasibility and effectiveness of the proposed method are demonstrated by numerical simulations.