直接二元搜索法合成二元位相计算全息图

提出了用递归直接二元搜索算法（ＤＢＳ）设计二元位相计算全息图的新方法，分析了ＤＢＳ型位相计算全息图的设计原理，计算机模拟定量地分析恢复象的质量和衍射效率，分析结果表明该位相计算全息图恢复象质量较好、衍射效率高，在光电技术、光学信息处理等领域中有重要的应用前景     

全息图再现象研究

通过分析全息图记录的干涉条纹图样，指出对于二维全息图，一束再现光将产生两个对称于全息图面的物象，两束对称于全息图面的再现光将产生位形相同的物象；三维全息图的再现，象的对称性不变，但原物象的对称再现象有一定的弥散，对称光再现时，等亮度再现象出现在全息图转动一个角度之后，实验上制作了具有清晰透射彩虹全息象的象面反射全息图。     

快速频率抽取直接二元搜索法合成计算全息图

给出了一种新型的设计二元计算全息图的ＤＢＳ算法，导出了这种方法的数学模型，通过自行设计的程序计算机解算结果证明，本文中提出的方法，其计算复杂度低于一般的ＤＢＳ算法，为了改善再现象质，作者还提出了一些改进的方法，实验结果表明能在不同程度上改善再现象的质量。     

Gyrator变换计算全息图及其新型编码方法

基于gyrator变换数值算法和计算全息理论提出了gyrator变换计算全息图,采用罗曼编码方法制作出了在不同变换角度下的gyrator变换计算全息图并实现了相应的数字再现,其再现规律与相关文献报道的gyrator变换全息图的再现规律一致,表明制作gyrator变换计算全息图是可行的。在此基础上提出了一种新的计算全息编码方法即梯形等效面积编码方法,该方法能有效提高在单个抽样单元中进行相位编码时的相位量化级数。应用该编码方法完成了傅里叶变换计算全息图的产生和数字再现的仿真实验,实验表明采用新型编码方法的离轴物体的计算全息图能实现零级衍射成像。采用新型编码方法也实现了gyrator变换计算全息图的产生和数字再现的仿真实验。上述实验结果表明本文提出的新型编码方法是可行的和有效的。     

调频加网对于全息再现图像的影响

目的 对全息图进行加网处理,实现计算全息图的二值化,将计算全息图应用于印刷领域。方法 本文设计计算全息图进行调频加网的整体方案,讨论不同的加网算法对计算全息再现图像的质量影响。首先,对3幅不同类型的灰度图片进行计算全息编码得到全息图;然后利用误差扩散算法和抖动算法对全息图进行调频加网获得二值化全息图;之后通过光场重建得到全息再现图像。结果 对全息再现图像进行峰值信噪比和结构相似性数据比较发现,误差扩散算法更适用于计算全息二值化处理,抖动加网使计算全息图产生周期性图案,导致再现全息图产生混频现象,全息再现图像的质量下降。结论 加网导致全息图再现质量下降,误差扩散算法可以得到较好的再现像,适用于全息图的二值化处理;与此同时,抖动算法会产生混频现象,因此抖动算法并不适用于全息图二值化处理。     

低信噪比图象识别中二元统计编码的应用

用数理统计观点，把图象看成是由纯噪声象和纯目标象叠加而成，用二元统计编码方法，对信噪比接近１的相干图象，进行了计算机模拟，获得了被噪声淹没的二元目标象，给出了对比度与目标恢复程度之间的对应关系。     

消除零级衍射和循环移位改善计算机合成全息图的再现质量

分析了影响计算机合成全息再现像质量的主要因素,提出了一种改善计算机合成全息再现像质量的方法。零级衍射严重降低了再现像的对比度,连续两次离散傅里叶变换的循环移位作用使得再现虚像最后一行和最后一列被分别循环移位到第一行和第一列。采用Burch型合成全息图再现算法消除了零级衍射,调整像素的位置消除了虚像的循环移位,使得全息图能够精确恢复原始图像,实验证明这种方法能改善再现像质量。     

CT图像的计算机制全息三维重建

提出用计算机制全息术实现CT图像的三维重建。首先研究了CT图像的三维信息融合,用计算机模拟CT图像的物光波,用菲涅耳计算全息图的方法,把CT图像的二维信息融合成三维信息,获得菲涅耳全息图。然后将计算机制全息与光学全息相结合,记录彩虹全息图。最后用扩展的白光再现,获得逼真无畸变的真正的三维立体图像,充分发挥了计算机制全息与光学全息的优势。在全息图的计算中利用了快速傅里叶算法,大大缩短计算时间。根据不同的观察需要制作了两种不同效果的全息图,并给出了理论分析和实验结果。     

用空间光调制器实现全息再现像的实时重构

针对目前实现大视角数字全息图实时动态再现的难点,提出了一种基于液晶空间光调制器用分时再现原理实现大视角数字全息图实时动态显示的新方法。分析了大视角全息图的计算原理和利用空间光调制器进行分时再现的技术原理,并提出了空间多屏拼接的方法。利用经改造的液晶背投影光学引擎系统设计了实验系统,对计算得到的全息图阵列进行了相应的处理以符合原投影系统RGB信号的传输,处理后的全息图阵列由计算机控制以60Hz的频率输出到光学引擎。实验结果表明,可以观察到大视角全息图的动态再现像。     

用空间光调制器实现全息再现像的实时重构

针对目前实现大视角数字全息图实时动态再现的难点,提出了一种基于液晶空间光调制器用分时再现原理实现大视角数字全息图实时动态显示的新方法.分析了大视角全息图的计算原理和利用空间光调制器进行分时再现的技术原理,并提出了空间多屏拼接的方法.利用经改造的液晶背投影光学引擎系统设计了实验系统,对计算得到的全息图阵列进行了相应的处理以符合原投影系统RGB信号的传榆,处理后的全息图阵列由计算机控制以60Hz的频率输出到光学引擎.实验结果表明,可以观察到大视角全息图的动态再现像.     

Hartley holograms

Binary holograms have become more interesting since spatial light modulators, capable of binary phase modulation, were developed. The primary restriction of these dynamic elements when used with the Fourier transform is the symmetry of the hologram reconstruction. I describe a new type of hologram that uses the Hartley transform instead of the Fourier transform. Despite their binary form, Hartley holograms offer maximal efficiency (theoretically 100%). Thus they can be presented as high diffraction-efficiency programmable elements. For practical reasons, I also propose a modified version for Hartley holograms that is easy to use. A theoretical analysis as well as experimental results are given.     

Design of computer-generated beam-shaping holograms by iterative finite-element mesh adaption

Computer-generated phase-only holograms can be used for laser beam shaping, i.e., for focusing a given aperture with intensity and phase distributions into a pregiven intensity pattern in their focal planes. A numerical approach based on iterative finite-element mesh adaption permits the design of appropriate phase functions for the task of focusing into two-dimensional reconstruction patterns. Both the hologram aperture and the reconstruction pattern are covered by mesh mappings. An iterative procedure delivers meshes with intensities equally distributed over the constituting elements. This design algorithm adds new elementary focuser functions to what we call object-oriented hologram design. Some design examples are discussed.     

Suppression of undesired diffraction orders of binary phase holograms

A method to remove undesired diffraction orders of computer-generated binary phase holograms is demonstrated. Normally, the reconstruction of binary Fourier holograms, made from just two phase levels, results in an undesired inverted image from the minus first diffraction order, which is superposed with the desired one. This can be avoided by reconstructing the hologram with a diffuse light field with a pseudorandom, but known, phase distribution, which is taken into account for the hologram computation. As a consequence, only the desired image is reconstructed, whereas all residual light is dispersed, propagating as a diffuse background wave. The method may be advantageous to employ ferroelectric spatial light modulators as holographic display devices, which can display only binary phase holograms, but which have the advantage of fast switching rates.     

Digital recording and reconstruction of holograms in hologram interferometry and shearography

The fundamentals of digital recording and mathematical reconstruction of Fresnel holograms are described. The object is recorded in two different states, and the holograms are stored electronically with a charge-coupled-device detector. In the process of reconstruction the digitally sampled holograms are applied to the different coherent optical methods as hologram interferometry and shearography. If the holograms are superimposed and reconstructed jointly, a holographic interferogram results. If a shearing is introduced in the reconstruction process, a shearogram results. This means that the evaluation technique, e.g., hologram interferometry or shearography, can be influenced by numerical methods.     

Holographic generalized first-arriving light approach for resolving images viewed through a scattering medium

We present a generalized holography-based approach with improved spatial resolution for extracting images, viewed through a scattering medium. The various angular directions are encoded either with different wavelengths or by capturing their corresponding images in different time slots. The various encoded images are recorded on a digital hologram with a computer. A digital reconstruction, which includes demodulation of the carrier beam and then a proper decoding algorithm, yields resolved images. The principle is demonstrated by recording image-plane digital holograms. Combining the suggested approach with the first-arriving light technique may further improve the results.     

Accelerated algorithm for three-dimensional computer generated hologram based on the ray-tracing method

An accelerated algorithm for three-dimensional computer generated holograms (CGHs) based on the ray-tracing method is proposed. The complex amplitude distribution from the center point of an object is calculated in advance and the field distributions of rest points on the hologram plane can be given by doing a small translation and an aberration to the pre-calculated field. A static two-dimensional car, a three-dimensional teapot, and a dynamic three-dimensional rotating teapot are reconstructed from CGHs calculated with the accelerated algorithm to prove its validity. The simulation results demonstrate that the accelerated algorithm is eight times faster than the conventional ray-tracing algorithm.     

Extended focused imaging for digital holograms of macroscopic three-dimensional objects

When a digital hologram is reconstructed, only points located at the reconstruction distance are in focus. We have developed a novel technique for creating an in-focus image of the macroscopic objects encoded in a digital hologram. This extended focused image is created by combining numerical reconstructions with depth information extracted by using our depth-from-focus algorithm. To our knowledge, this is the first technique that creates extended focused images of digital holograms encoding macroscopic objects. We present results for digital holograms containing low- and high-contrast macroscopic objects.     

Underwater digital holography for studies of marine plankton

Conventional and digital holographies are proving to be increasingly important for studies of marine zooplankton and other underwater biological applications. This paper reports on the use of a subsea digital holographic camera (eHoloCam) for the analysis and identification of marine organisms and other subsea particles. Unlike recording on a photographic film, a digital hologram (e-hologram) is recorded on an electronic sensor and reconstructed numerically in a computer by simulating the propagation of the optical field in space. By comparison with other imaging techniques, an e-hologram has several advantages such as three-dimensional spatial reconstruction, non-intrusive and non-destructive interrogation of the recording sampling volume and the ability to record holographic videos. The basis of much work in optics lies in Maxwell's electromagnetic theory and holography is no exception: we report here on two of the numerical reconstruction algorithms we have used to reconstruct holograms obtained using eHoloCam and how their starting point lies in Maxwell's equations. Derivation of the angular spectrum algorithm for plane waves is provided as an exact method for the in-line numerical reconstruction of digital holograms. The Fresnel numerical reconstruction algorithm is derived from the angular spectrum method. In-line holograms are numerically processed before and after reconstruction to remove periodic noise from captured images and to increase image contrast. The ability of the Fresnel integration reconstruction algorithm to extend the reconstructed volume beyond the recording sensor dimensions is also shown with a 50% extension of the reconstruction area. Finally, we present some images obtained from recent deployments of eHoloCam in the North Sea and Faeroes Channel.