重建彩色数字全息图时不同色光物光场的准确重叠研究

将数字全息检测物体表面视为散射面,球面波为参考波,使用角谱重建算法对不同波长照明情况下物平面光波场重建位置进行研究.结果表明,不考虑图像的物理意义时,衍射的一次傅里叶变换重建像中心与物光场频谱的中心相对应,以一次傅里叶变换重建像为参考,可以较好地确定物光场频谱位置,按照可变放大率的角谱重建算法实现不同色光重建场的准确重叠.     

数字全息中的一些基本问题分析

利用全息理论、傅里叶频谱分析和采样定理，在模拟和数字全息光栅实验基础上，分析了数字全息记录和再现中的一些基本问题。结果表明：在物体和CCD尺寸确定的情况下，记录光路结构参量只取决于对图像采样的要求及CCD的像素尺寸，只要物体到CCD的距离满足采样要求，数字全息图再现光场的三个部分就可以分离；用准直平行光作为记录参考光和模拟再现光，可以得到与物体大小和形状完全一致的再现像；采样条件对再现像的影响大于分离条件，减小参物光的夹角记录适当过采样的数字全息图，有利于提高再现像的质量；另外，在获得高质量再现像方面，根据物体的具体特征，尽可能记录高质量的数字全息图，与满足采样条件和分离条件具有同样重要的意义。     

基于图像二维小波多尺度分解傅里叶变换轮廓术

应用傅里叶变换轮廓术测量物体三维面形时,当被测物体形状复杂或是被噪声严重污染时,导致频谱分布展宽,发生频谱混叠现象,基频提取困难,无法准确恢复物体的三维面型.提出了基于小波分解的傅里叶变换轮廓术,采用小波变换的方法对变形条纹图进行二维多尺度分解,重构被测物的背景图像,滤出图像的零频成分,得到相对变形条纹.运用小波变换与傅里叶变换轮廓术相结合的方法,只需拍摄一幅变形条纹图,将被测物体与背景分离,不受背景成分的影响,且易于基频信息的提取,降低了对滤波器的要求.实验证明该方法较好地防止了频谱的混叠问题,提高了测量范围与解相精度.     

非平面参考光波的数字实时全息研究

将参考光视为是任意形式波面,讨论利用傅里叶变换提取物光频谱的可能性.研究结果表明,只要参考光相位函数的展开式中包含坐标的一次项,就可能使用傅里叶变换获取物光频谱.根据研究结果,提出在非平面参考光波情况下进行实时数字全息检测的方法,并给出实验证明.     

Improved approach for target detection and recognition on optoelectronic hybrid joint transform correlator

A conventional joint transform correlator (JTC) often generates large correlation sidelobes as well as a large correlation peak width, strong zero-order peak, and low diffraction efficiency in target detection and recognition, which make the detection ability of JTC lower. To conquer these difficulties, firstly, a joint power spectrum (JPS) subtraction technique was proposed in Fourier plane, where power spectrum of reference image and power spectrum of object image are subtracted from the JPS before inverse Fourier-transform operation, it is evident that the improved JPS removes the zero-order term. Secondly, a fringe-adjusted filter (FAF) was presented to restrain sidelobes and noises. The revised JPS is multiplied by a FAF before the inverse Fourier-transform operation to obtain the cross-correlation peak. Computer simulations showed the improved method can markedly eliminate zero-order diffraction and effectively control the sidelobes and noises compared to traditional JTC, and then enhance the detection ability for JTC. Experimental results presented the sharp correlation peak and also demonstrated this approach effectiveness.     

Approximation of transfer function of the 4f scheme of Fourier holography upon fuzzy-valued logics implementation

As applied to the problem of fuzzy-valued logics implementation by the Fourier holography method, it is demonstrated that, if the dependence of the local diffraction efficiency of the Fourier hologram on the spatial frequency is characterized by the inverse dependence in the region of zero spatial frequency, the transfer function of the 4f scheme of Fourier holography can be approximated by the sum of two symmetrically shifted Gaussian functions. In this approximation, the formula that describes the system’s response to the distortion of the spatial-frequency spectrum of the object image with respect to the reference one is proposed. The appropriateness of the chosen approximation is proven by a comparison of theoretical and experimental results.     

利用相位模板实现数字全息超分辨成像

为了简化数字全息超分辨记录系统,分别在其物光和参考光部分引入一块相位模板,以获得垂直和倾斜方向照明物体的光束和具有不同载波频率的参考光束.当这些具有不同照射方向的光透过物体后,可以使CCD在位置固定的情况下记录到携带低频和高频信息的物体衍射场,不同载波频率的参考光则保证了高频和低频信息在复合全息图的频谱面上能够相互分离.实验结果证明,通过将记录到的物体高频和低频信息合成,可以获得超出系统衍射极限分辨率的再现像.     

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.     

Design of the spatial filter window for digital holographic convolution reconstruction of object beam field

In the convolution reconstruction process of digital holographic object beam field, the object beam fields with different magnifications can be obtained when the reconstructing beams are spherical waves with different wave curvature radii. This paper presents a theoretical and experimental discussion on the useful spatial frequency spectrum of the hologram numerically illuminated by the spherical wave. The result shows that there would be an image in the spatial frequency spectrum of digital hologram, which is completely the same as the object, if the wave surface radius of the spherical wave is equal to the distance from the object to the CCD sensor. Taking this image as a reference and designing a filter, the position of the reconstructed images with different magnifications can be predicted correctly in the reconstructed plane. Additionally, since the spectrum distribution of zero-order diffraction can be forecasted accurately in theory, its contribution can be effectively eliminated through changing the spatial filter shape; then a reconstructed object field containing more high-frequency information can be obtained.     

Periodic reference subtraction method for efficient background fixed pattern noise removal in Fourier domain optical coherence tomography

We have demonstrated an efficient scheme of automatically removing fixed pattern noise in Fourier domain optical coherence tomography by using a periodic reference spectrum subtraction method. By periodically acquiring the reference spectra using a separate light absorber placed to the right of the scan lens, we were able to adaptively compensate the background fixed pattern due to the spectral intensity variation of the source. The adaptive removal of fixed pattern noise was effectively performed by controlling the reference spectrum acquisition rate (R). A seawater pearl was used for a test sample under an intentional abrupt source power change to validate the proposed method. Based on this method, it is possible to perform immediate cold start scanning because it is not necessary for a stabilization period of the light source, as well as a manual process of reference spectrum acquisition for obtaining clear image under unstable environment.     

Scaling and interleaving of subsystem Lyapunov exponents for spatio-temporal systems

The computation of the entire Lyapunov spectrum for extended dynamical systems is a very time consuming task. If the system is in a chaotic spatio-temporal regime it is possible to approximately reconstruct the Lyapunov spectrum from the spectrum of a subsystem by a suitable rescaling in a very cost effective way. We compute the Lyapunov spectrum for the subsystem by truncating the original Jacobian without modifying the original dynamics and thus taking into account only a portion of the information of the entire system. In doing so we notice that the Lyapunov spectra for consecutive subsystem sizes are interleaved and we discuss the possible ways in which this may arise. We also present a new rescaling method, which gives a significantly better fit to the original Lyapunov spectrum. We evaluate the performance of our rescaling method by comparing it to the conventional rescaling (dividing by the relative subsystem volume) for one- and two-dimensional lattices in spatio-temporal chaotic regimes. Finally, we use the new rescaling to approximate quantities derived from the Lyapunov spectrum (largest Lyapunov exponent, Lyapunov dimension, and Kolmogorov-Sinai entropy), finding better convergence as the subsystem size is increased than with conventional rescaling. (c) 1999 American Institute of Physics.     

斑点掩模法中的相位复原实施方法和像复原实验

斑点掩摸法能有效地消除地球大气湍流的严重干扰,实现天文目标的望远镜衍射受限分辨率复原,而傅里叶相位谱的复原是核心和难点,讨论了在微机上实现由重谱重复目标相位谱时所面临的实际问题,巨大的重谱信息和计算机有限存储空间的矛盾,递推相位区域和路径,相位缠绕和误差积累等,给出了相应的解决方法对天文目标进行像复原的实验结果。     

阿贝成像原理和空间滤波实验的改进

改进了阿贝成像原理和空间滤波实验.将物平面置于傅里叶变换透镜的前焦面,采用扩束光照明,在光源的共轭像面上测量频谱分布、改造频谱等,可以获得更好的实验效果,同时简化了光路.     

Comparison of the angular selectivity characteristics for an off-axis holographic storage system calculated by Born approximation and coupled-wave theory

The first Born approximation is applied to calculate the angular selectivity for different positions on the reconstructed image as a function of the object beam's optical axis angle theta(ob) and reference beam angle theta(rw) for a holographic data storage system that records the Fourier transform holograms in a medium with an infinite plane-wave reference beam. Results are compared with those calculated by the coupled-wave theory.     

基于背景光调制的复合光傅里叶变换轮廓术

提出一种基于背景光调制的用于傅里叶变换轮廓术测量范围的复合光栅,该光栅通过调制一正弦条纹和不含任何相位信息的背景光来抑制零频,较基于相移技术的复合光栅有更大的优势:背景光只含直流分量,使得复合光栅的频谱更加简单,有利于滤出载波信息,提高测量精度;对从复合光栅中解调出来的背景光只涉及平均值校准,校准过程更为简单;解调出的背景光与物体表面的反射率成正比,具有潜在的应用价值。采用Matlab程序对该复合光栅进行了数值模拟,并对该光栅实用性进行了实验研究,结果证实了该光栅用于抑制零频、扩大傅里叶变换轮廓术测量范围的有效性,且提高了测量精度。     

Color digital holography using a single monochromatic imaging sensor

Color digital holography utilizing the Doppler effect is proposed. The time variation of holograms produced by superposing images at three wavelengths is recorded using a high-speed monochromatic imaging sensor. The complex amplitude at each wavelength can be extracted from frequency information contained in the Fourier transforms of the recorded holograms. An image of the object is reconstructed by the angular spectrum method. Reconstructed monochromatic images at the three wavelengths are combined to produce a color image for display.     

A simplified holography based superresolution system

In this paper we are proposing a simple idea based on holography to achieve superresolution. The object is illuminated by three fibers which maintain the mutual coherence between the light waves. The object in-plane rotation along with fiber-based illumination is used to achieve superresolution. The object in a 4f optical system is illuminated by an on-axis fiber to make the central part of the object׳s spectrum to the pass through the limiting square-aperture placed at the Fourier plane and the corresponding hologram of the image is recorded at the image plane. The on-axis fiber is switched off and the two off axis fibers (one positioned on the vertical axis and the other positioned on diagonal) are switched on one by one for each orientation of the object position. Four orientations of object in-plane rotation are used differing in angle by 90°. This will allow the recording of eight holographic images in addition to the one recorded with on-axis fiber. The three fibers are at the vertices of a right angled isosceles triangle and are aligned toward the centre of the lens following the fiber plane to generate plane waves for object illumination. The nine holographic images are processed for construction of object׳s original spectrum, the inverse of which gives the super-resolved image of the original object. Mathematical modeling and simulations are reported.     

基于三维傅里叶频谱的计算全息图

提出了一种新的三维物体计算全息图的合成方法.在三维傅里叶旋转抛物面获取频谱理论的基础上,利用圆形扫描获得少量投影,采用多个半圆提取方式获取三维物体的频谱信息并采用共轭对称延拓计算全息编码得到计算全息图.传统方法中,在每幅投影上仅提取一个圆形的频谱信息.在同等投影数量的情况下,通过半圆方式在每幅投影上提取多于一个圆形信息的方法获得频谱信息,提高了每幅投影的信息利用率和全息图再现图像的质量.数字再现的实验证明了该方法的有效性及优越性.     

Sampling complex-valued incoherent fourier spectra

We address the general case of sampling the Fourier spectrum of an incoherent object by extending the possibilities of the computerized optical sampler described in a previous paper. Because such a spectrum is hermitian, pairs of sampling slits are still used as pupils of an imaging system; but we take advantage of multiple measurements performed in the image plane for computing the amplitude and phase of each spectral component. The principle of multiplexed measurements within a given frequencies band, using a white light source, is suggested as a conclusion.     

Superresolution ultrasound imaging using back-projected reconstruction

An ultrasound technique for imaging objects significantly smaller than the source wavelength is investigated. Signals from a focused beam are recorded over an image plane in the acoustic farfield and backprojected in the wave-vector domain to the focal plane. A superresolution image recovery method is then used to analyze the Fourier spatial frequency spectrum of the signal in an attempt to deduce the location and size of objects in this plane. The physical foundation for the method is rooted in the fact that high spatial frequencies introduced by the object in fact affect the lower (nonevanescent) spatial frequencies of the overall signal. The technique achieves this by using a priori measurements of the ultrasound focus in water, which gives full spectral information about the image source. A guess is then made regarding the size and location of the object that distorted the field, and this is convolved with the a priori measurement, thus creating a candidate image. A large number of candidates are generated and the one whose spectrum best matches the uncorrected image is accepted. The method is demonstrated using 0.34- and 0.60-mm wires with a focused 1.05-MHz ultrasound signal and then a human hair (approximately 0.03 mm) with a 4.7-MHz signal.