数字无透镜傅里叶变换全息术中非傍轴及离焦像差的校正

对数字无透镜傅里叶变换全息图直接采用逆傅里叶变换进行物场的数值重建时.需要满足两个条件:第一,全息图的记录过程必须满足傍轴近似条件,否则再现过程中会产生非傍轴像差;第二,记录全息图时物平面与参考点光源到全息图记录平面的距离必须相等,否则再现过程中会产生离焦像差.理论分析了非傍轴及离焦记录条件下数字无透镜傅里叶变换全息图的灰度分布特点,并提出了相应的非傍轴及离焦像差的数值校正方法.根据实际的非傍轴或离焦记录情况.分别给所记录的数字全息图灰度分布矩阵乘以适当的非傍轴或离焦校正因子,以消除灰度矩阵中非傍轴或离焦因素的影响.然后再对校正后的伞息图灰度矩阵做逆傅里叶变换处理.即可得到准确的数字再现像.实验结果表明.该数值重建方法能够有效地消除无透镜傅里叶变换全息术中数字再现像的非傍轴像差及离焦像差,提高再现像的质量.     

电子全息法三维物场逐层分析

本文叙述了一种三维物场的定量再现、分析方法,其中采用了电子全息法,它包括:1)三维物场全息图的数字记录,2)全息图面上复振幅分布的数字再现,3)三维物场的逐层再现。由此可以获得整个三维物场的信息,这一方法以CCD摄象机作为记录介质,然后把由CCD采集的数字全息图输入计算机,利用频谱滤波法经过傅里叶变换、频谱分离、反傅里叶变换再现出全息图面上的复振幅。在此基础上借助频域衍射公式可再现出任何一层(平行于全息图面)上的图象。这样,我们用这一数字再现和逐层分析的方法便可研究三维物场的一些特性,如物体在其中的位置等。整个再现过程是由计算机软件实现,其中采用了二维快速傅里叶变换算法,再现过程可在几分钟内完成。本文同时还给出了这一数字再现方法的空间分辨率,并且通过计算机模拟展示了一个理想三维物场的再现过程及再现结果。最后指出了这一方法存在的问题及未来的应用前景。     

电子学全息法再现三维物场

叙述了一种采用电子学全息法分析三维物场的定量方法，它包括：（１）三维物场全息图的数字记录，２）全息图面上复振幅分布的数字再现，（３）利用空间频域衍射公式计算其它平面上的复振幅分布，由此可以获得整个三维物场的信息。本文同时还给出这一数字再现方法的空间分辨率。最后通过计算机模拟展示了一个理想三维物场的再现过程及再现结果。     

Conjugate Image Plane Correlator with Holographic Disk Memory

A conjugate image plane correlator with holographic disk memory is proposed. Optical correlation between conjugate images reconstructed from a holographic disk and an input image on liquid-crystal television is executed with the rotation of the disk. Regardless of Fourier hologram recording with the pseudorandom diffuser, it is found possible to take out the diffuser from the original hologram recording scheme using an image reconstruction process and to get correlation signals between input and reconstructed conjugate images in the output plane of a two-lens imaging system. Generation of conjugate replicas with high contrast causes exact matching with an input image which results in high recognition performance for autocorrelation signals. The transfer function of an optical system can be controlled by adjustment of either hologram size or hologram area illuminated with a laser beam. Hence, the output intensity distribution can be adjusted by selecting a proper pupil function and the size of an output pupil defined by the input pupil size and the optical system magnification factor. The real-time character recognition by optical parallel high-speed processing for two dimensional images with position normalization is demonstrated.     

Particle digital in-line holography with spherical wave recording

In this paper, we propose a method of digital in-line holography of particle. A diverging spherical beam is used for illumination in recording hologram, the complex amplitude distribution generated by particle field at a single plane located in the Fresnel diffraction region is recorded by CCD, and a plane beam for reconstructing hologram, then, the magnified image can be obtained by numerical reconstruction in computer. This procedure can be interpreted by Fourier optical theory and the theoretical analysis have been done in detail, the experimental results, the air freshener being subject, are also given.     

Saturation effect in azobenzene polymers used for polarization holography

The saturation behavior of diffraction efficiency has been experimentally studied and theoretically modeled in azobenzene polyesters by recording polarization gratings with two beams of orthogonal circular polarization. The model is an extension of the phenomenological expression of Kakichashvili, derived from the rate equations for photoanisotropic materials, taking into account the effect of saturation with time and intensity. The saturation model of the polyester material can be used for the computer simulation of a polarization holographic data storage system under development. The simulation is based on fast Fourier transforms, taking the parameters of the recording material and the optical processes into account. Agreement between measured and simulated results proves the applicability of the saturation model as an efficient tool in the optimization of the system. Received: 16 September 2002 / Published online: 3 April 2003 RID="*" ID="*"Corresponding author. Fax: +36-1/463-4194, E-mail: pvarhe@math.bme.hu     

数字全息周期像的产生机理及在抑制零级衍射上的应用

在数字全息成像中, 利用CCD的RGB模式采样全息图时, 全息重构像会出现特定的周期性分布. 本文从理论和实验上详细研究了这种周期像产生的机理、分布特性和应用. 研究结果显示, 由于CCD的光谱滤镜会使全息图的RGB三个单色采样阵列出现部分像素信号的缺失, 因此, 需要通过特定的demosaicing数学算法对缺失的像素信号进行重建以形成完整的单色采样阵列, 这是数字全息再现像周期分布产生的根源. 而基于demosaicing算法的采样阵列重建会在全息图频谱中引入调制函数, 导致物体再现像和零级衍射斑的周期分布差异. 本文揭示了全息图的RGB采样、demosaicing算法与全息重构像周期性之间的内在关联. 最后, 讨论了结合空间移位和图像形态学技术, 利用重构像的周期性抑制零级衍射斑的应用. 所有理论与实验研究结果完全一致. 关键词： 数字全息 图像周期性 零级斑抑制     

基于Matlab的计算全息图的制作与数字再现的研究

 应用Matlab语言,结合博奇型计算全息的编码方法,利用计算机分别绘制了菲涅耳全息图和傅里叶变换全息图,实现了计算全息图的快速制作,讨论了制作计算全息图的原理、方法和步骤。利用CGH技术和数字全息技术所生成的全息图再现出原始图像,完成了全息图的数字重现,实现了整个全息记录和再现过程的计算机模拟。与传统的编程语言和绘图方法相比较,该算法在实现上更加简单和快捷,并且带有一系列提高计算全息图质量的措施,有效地消除了零级像和孪生像的影响,获得了清晰的数字再现图像。     

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.     

Phase modulated gray-scale data pages for digital holographic data storage

We propose a method for gray level holographic digital data storage by using three-gray levels in the phase mode. Gray level data pages are displayed on a SLM operating in the phase mode to obtain a homogenized Fourier spectrum by suppressing the extremely high intensity DC component in the Fourier spectrum of conventional amplitude based binary/gray level data pages. Holographic interferometry has been used to recover the gray level amplitude data page from phase data page. Numerical simulation results are presented for three-gray level data pages. Fourier plane homogeneity, bit-error-rate, storage density, phase modulation error of the SLM, and misalignment tolerances are investigated through computer modeling. A comparison of the present method with the amplitude-modulated gray level case with and without using a phase mask in conjunction with the data page is carried out. An experimental demonstration of the proposed three-gray level phase data page method is also presented.     

X-ray interferometric Fourier holography

An X-ray interferometric Fourier holography was proposed and theoretically investigated. X-ray Interferometric Young fringes and the reconstruction of an object image were investigated by the Fourier transform method. It was shown that on the output surface of the analyzer crystal (the third plate of the interferometer) the interference pattern of two slits gives X-ray interferometric Young fringes. An expression for the period of X-ray interferometric Young fringes was obtained. The subsequent reconstruction of the slit image as an object is conducted by means of the Fourier transform method of intensity distribution on the hologram. Three methods for reconstruction of the function of complex transmission of the object are presented: an analytical one–the approximate method, the iteration method and the step-by-step approach. As examples a recording of X-ray interferometric Fourier hologram and the reconstruction of the function of complex amplitude transmission of a beryllium circular cylinder are given.     

Reconstruction of digital hologram of small particles on arbitrarily tilted plane using digital holography

Digital holographic off-axis geometry is presented for the reconstruction of the digital hologram of small particles in an arbitrarily tilted plane. A single hologram is sufficient to obtain a well focused clear image. We can't obtain clear images of small particles in the case of plane tilted to the detector plane by ordinary reconstruction method because of the rotation of the hologram plane. Rotational transformation based on coordinate rotation in Fourier space makes it possible to reconstruct holographic images on any plane in the object space. The reconstruction of digital hologram is based on the plane wave expansion of the diffracted wave fields, using Fourier optics and the two-axis rotation of the wave vectors. With this method, the object-to-hologram distance can be any small distance because the minimum distance requirement does not apply.     

单幅层析全息图的记录及数据重建

进行了数字单幅离轴层析全息图记录和数值处理模拟分析及实验研究.首先定义了单幅层析全息图并分析了基于多向投影的数字单幅离轴层析全息图频谱分布特点, 由此表明它的可处理性.在此基础上,数值模拟分析了基于三向投影的单幅离轴层析全 息图记录与各向投影信息的分离提取, 最后选择了具有周期结构的透明光栅(周期为100 μm)作为实验样本, 实现了三向投影的单幅层析全息图的记录以及数值重建, 三束物光波重建周期值误差在4%-5%范围内.模拟分析及实验结果验证了单幅层 析全息图记录与信息分离的可行性,同时为实现具备实时检测功能的极少量投影数字全息 层析系统提供了重要的技术基础.     

三维物体多重菲涅耳计算全息水印与无干扰可控重建方法

提出了一种基于三维物体的多重菲涅耳计算全息水印方法.将水印信号作为虚拟三维物体的层面,首先结合分区复用层析法和菲涅耳双随机相位编码方法产生复噪声形式的水印信号;然后对水印信号的频谱作共轭对称处理实现实值编码;为减小对宿主全息图数字重建的影响,将水印信号的频谱设置于对宿主数字重建影响小的频谱非感兴趣区域;编码后的信号以一定强度叠加于宿主全息图,水印信号恢复无需原始宿主全息图信息,可实现盲提取,对宿主全息图重建像面的二维码可扫描识别.仿真测试结果表明,所提出的方法具有较好的透明性和稳健性,在宿主全息图遭受滤波、JPEG(联合图像专家小组)压缩、高斯噪声、剪切、旋转等各种攻击的情况下,不论对宿主还是水印信号仍具有良好的数字重建质量,对重建像面的二维码仍可扫描识别;而重建像面水印信号的无干扰可控重建后处理操作解决了不同层面水印信号之间的衍射干扰问题,提高了水印信号的重建质量.虚拟光学手段的应用丰富了水印信号设计方法并提升了算法的安全性.     

近距离数字全息术记录和再现问题

讨论了记录距离小于菲涅耳衍射要求的近距离数字全息记录和再现问题。对全息记录与再现中高次相位的补偿问题进行了分析,证明了在CCD的参量和记录距离给定后,只要记录时使物体的大小、球面参考光波的位置和距离满足一定的条件,即使在记录距离小于菲涅耳衍射要求的最小距离情况下,也可将高次相位的影响补偿到足够小,使得近距离数字全息的数字再现仍可用快速傅里叶变换算法计算。推导出了满足高次相位补偿的条件和满足补偿条件时的数值再现计算公式。实验结果与理论分析的结论相吻合,并给出了一种修正实际记录的参考光和计算机模拟的理想参考光之间偏差的方法。     

全息图像缩放对数字微镜重建显示的影响研究

根据人眼对数字微镜器件成像的响应性质,给出了数字微镜器件重建场的强度表达式.当CCD的面元尺寸与数字微镜器件的镜元尺寸不相等时,在数字微镜器件重建显示系统中将引起数字全息图像的缩放.基于傅里叶光学理论,导出了缩放后数字全息图数字微镜器件重建像的尺寸和中心位置与重建参量的关系.通过理论模拟和数字微镜器件重建显示实验,对分析结果进行了实验验证.     

Optimizing holographic data storage using a fractional Fourier transform

We demonstrate a method to optimize the reconstruction of a hologram when the storage device has a limited dynamic range and a minimum grain size. The optimal solution at the recording plane occurs when the object wave has propagated an intermediate distance between the near and far fields. This distance corresponds to an optimal order and magnification of the fractional Fourier transform of the object.     

Randomly displaced phase distribution design for computer-generated binary hologram with narrow recording spots

A random phase mask is often used for Fourier transform holography to improve its recording and reconstruction characteristics. However, a conventional random phase pattern has the disadvantage of expanding the recording spot, which is caused by the high-resolution phase modulation. Previously, we proposed a random phase pattern that makes the recording spot narrower than the conventional one with maintaining a moderate reconstruction quality. In the present study, we apply the proposed random phase pattern to computer-generated binary holograms and evaluate both the hologram distribution and reconstruction quality in terms of practical holographic memory systems. The results confirm the effectiveness of the random phase in the reconstruction for an elementary data pattern.     

Analysis of a collinear holographic storage system: introduction of pixel spread function

Image formation in a collinear holographic storage system was analyzed. The wavefront from each pixel of a spatial light modulator was regarded as a plane wave in the recording medium, and its wave vector was determined by the position of the pixel. The hologram in the recording medium was treated as the summation of all gratings written by all combinations of two plane waves. The image of a data page was formed by diffraction of the reference waves by all gratings. The results of the simulation showed good agreement with experiment. We introduced the pixel spread function to describe the image formation characteristics. Analysis of the pixel spread function reveals that a radial-line pixel pattern for reference waves gave a sharper image than other reference pixel patterns. It is also shown that a random phase modulation applied to each reference pixel improved the image formation.     

X光全息术的记录方式对其分辨率的影响

本文从分析X光全息图的两种具体的记录方式入手,考虑记录介质的点扩散函数和全息图的尺寸在不同的记录方式中,对X光全息图的分辨率的影响,结论是,在完全相干光的条件下,X光无透镜傅里叶变换全息图的最小分辨距离不可能小于记录时用的X光聚束器的焦斑或滤波小孔的半径,而X光同轴全息图不可能获得比记录介质的截止频率更高的分辨率.