Direct amplitude detection of Zernike modes by computer-generated holographic wavefront sensor: Modeling and simulation

A fast holographic wavefront sensor is proposed using a computer-generated hologram (CGH). This CGH is a multiplexed hologram of different Zernike mode–amplitude combinations, and is designed in such a manner as to get the corresponding spots on the detector according to the presence and strength of a particular aberration. Interference between the aberrated wavefront (with a single mode–amplitude combination) and the Fourier transform of an image with single bright pixel (defined as dot image) is numerically calculated for one hologram. Different mode–amplitude combination and corresponding different positions of bright pixels (dots) are taken to compute various holograms and then all the holograms are multiplexed to get the final hologram. When the aberrated wavefront with a particular mode–amplitude combination is incident onto the multiplexed hologram, the corresponding dot is generated in the Fourier plane. A lens performs the Fourier transform in optical domain and provides the instant detection of amplitude of the respective Zernike mode. The main advantage of the scheme is to avoid the need of any computations, which makes it really fast. The simulation results are presented with the cross-talk analysis for few Zernike terms.     

Multiple information encryption by user-image-based gyrator transform hologram

A novel multiple information encryption by user-image-based gyrator transform hologram is proposed. In encryption process, each channel of the user image is phase encoded, modulated by random phase function and then gyrator transformed to get the gyrator spectrum of user image. Subsequently, each channel of the secret image is normalized, phase encoded, multiplied by modulated user image, and then gyrator transformed to obtain the gyrator spectrum of secret image. The encrypted digital hologram is recorded by the interference between the gyrator spectrum of user image and the spherical wave function. Similarly, the digital hologram for decryption is recorded by the interference between the gyrator spectrum of secret image and the spherical wave function. The multiple encrypted digital holograms are multiplexed into a final encoded hologram and the corresponding digital holograms for decryption are multiplexed into a final hologram for decryption. The wavelength and radius of the spherical wave function, and angle of gyrator transform are all essential keys for decryption. The proposed system has two main features. First, the encrypted hologram has no information about secret image. Second, the hologram for decryption used as identification key. Consequently the two marked security layers of information protection are achieved. The proposal can be realized by optoelectronic system. Numerical simulation results demonstrate the feasibility and security of the proposed technique.     

Sectional image reconstruction and three-dimensional microscopy of small particles by angular spectrum method

In this letter, we demonstrate sectional image reconstruction and three-dimensional microscopy of small particles. We demonstrate sectional image reconstruction and holographic methods to obtain 2D and 3D images of small particles. A single hologram is sufficient to obtain a section containing only the focused parts of the reconstructed image. One can obtain images of different plane sections of a specimen in addition to its 3D display. The reconstruction of a digital hologram is based on the plane-wave expansion of the diffracted wave fields using Fourier optics (this method is also known as the angular spectrum method). With this method, the object-to-hologram distance can be quite small because the minimum-distance requirement does not apply. Furthermore, numerical reconstruction of transparent objects by this method may be interesting for micro-structure measurement.     

基于螺旋相位调制的非相干全息点扩散函数研究

分析了菲涅耳非相干相关全息(Fresnel incoherent correlation holography,FINCH)系统中纯相位空间光调制器(spatial light modulator,SLM)加载螺旋相位掩模时的点扩散函数.以氙灯为照明光源搭建了FINCH系统,电荷耦合器记录的点源全息图与点扩散函数模拟结果一致.采用该系统分别在SLM上加载双透镜掩模和螺旋相位调制双透镜掩模两种情况下对分辨率板和非染色洋葱细胞成像,给出了成像对比结果.结果表明:采用螺旋相位调制的FINCH系统可以在几乎不牺牲分辨率的情况下提高图像的边缘对比度;同样,对相位物体也可以实现图像的边缘提取和识别.该方法在实时监测活细胞的分裂、形变等方面具有重要应用前景.     

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.     

Study of the parameters of a difference image in the presence of a linear phase shift

The spatial filtering in the localization range of the holographic lateral shearing interferograms of a solid object shows that the effect of the subtraction of the compared original data arrays is realized in the presence of a filtering aperture in the center of a dark fringe [1, 2]. Methods for the holographic subtraction of the images involving the detection and spatial filtering in the Fourier plane of the optical system are proposed and realized in [3–5]. Thus, the difference data can be reconstructed with a narrow (unexpanded) laser beam. However, a relatively high level of speckle noise in the difference image is caused by the spatial filtering with a small aperture (laser beam) in the minimum of the superposition field in the Fourier hologram plane. The detection of double-exposed Fourier holograms with a linear phase shift and the effect of the size of the filtering reconstructing beam on the resolution of the difference image are studied. In addition, the application of the multiple exposure for the broadening of the interference maxima is analyzed.     

分数傅里叶变换计算全息

在计算全息和分数傅里叶变换的基础上提出了不对称分数傅里叶变换计算全息和双随机相位不对称分数傅里叶变换计算全息。在这种方法中,首先用一随机相位函数乘以输入图像信息,然后沿x方向实施α级次的一维分数傅里叶变换,再乘以第二个随机相位函数,最后,沿y方向实施β级次的一维分数傅里叶变换。采用迂回位相编码法对变换后的结果编码,绘出计算全息图。为了恢复原始图像,需要知道变换级次和随机相位函数。利用这种方法进行图像加密,使加密图像的密钥由原来两重增加到四重,从而提高了系统的保密性能。     

通过保留相位进行全息图信息压缩的方法

从全息图的特点出发,研究了全息图的记录和再现原理,提出了一种对离轴菲涅耳全息图信息压缩的方法。对全息图进行傅里叶变换,滤除零级噪声及物光波的共轭波前,仅仅保留物光波的相位信息,而后以采用较低的采样频率对全息图重新抽样,从而大大减少了数字全息图的信息冗余。压缩后的全息图也可以获得良好像质的再现像。理论和实验均证明了该方法的可行性,为全息图的信息存贮与传输提供一条新的途径。     

图像传感器像素化效应对菲涅耳非相干关联全息分辨率的影响

作为复光场显微成像的一种新技术,菲涅耳非相干关联全息术(Fresnel incoherent correlation holography,FINCH)因其非相干光记录的特点在近年来受到关注.FINCH作为一种新型非相干全息系统,如何设计光路实现其最佳的分辨率是一个关键问题.然而,针对这个问题的讨论,目前已有文献存在不同的观点,有关FINCH最佳分辨率的成像条件仍有待研究.全息图有效孔径大小是决定全息成像系统分辨率的重要因素,在FINCH系统中,全息记录距离的变化则会引起全息图有效孔径发生变化,全息图的有效孔径大小不仅与光路各元件的孔径有关,还与相干光波相互干涉叠加区域的面积以及图像传感器的像素间距等因素有关.本文基于波动光学理论,结合FINCH全息图的波带结构特征,研究了FINCH全息图的有效孔径.研究发现数字全息记录相机的像素化特性是影响FINCH成像分辨率的决定性因素,并进一步通过数值模拟和光学实验验证了理论分析结果:全息图记录距离(Z_h)等于空间光调制器加载的衍射透镜焦距(f_d)时,FINCH系统的再现像将会达到最佳横向分辨率,且分辨率随成像距离|Z_h-f_d|的增大而降低.     

Cross-talk Noise Suppresion in Volume Holography with a Composite Reading Beam

ＣｒｏｓｔａｌｋＮｏｉｓｅＳｕｐｐｒｅｓｉｏｎｉｎＶｏｌｕｍｅＨｏｌｏｇｒａｐｈｙｗｉｔｈａＣｏｍｐｏｓｉｔｅＲｅａｄｉｎｇＢｅａｍＬＩＸｉａｏｃｈｕｎＷＵＭｉｎｘｉａｎＨＥＱｉｎｇｓｈｅｎｇＪＩＮＧｕｏｆａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＰｒｅｃｉ...     

体全息存储分维复用串扰噪声分析

基于耦合波理论并引入波矢簇的概念 ,对体全息存储分维复用的串扰噪声进行了分析。在改变参考光俯仰及偏转角度条件下对全息图的读出图像进行了模拟计算 ,给出了实验结果 ,计算得到了二维串扰强度分布。理论及实验证明 ,在改变读出参考光俯仰角的情况下 ,谱面全息图呈现水平带状读出 ,并且带状图样随偏转角改变而上下移动     

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.     

Holographic multivergence target for subjective measurement of the spherical power error of the human eye

We have fabricated a single hologram with which to determine the spherical refractive error of the human eye in the range 5 to -2.5 diopters (D) with an accuracy of +/-0.25 D in a single step. The amplitude of accommodation is determined at the same time. The hologram is a record of 16 targets, each of which has a different image vergence in the range 5 to -2.5 D in steps of 0.5 D. This idea can be applied readily to any dioptric range. The measurement method is simple, fast, and reliable.     

Holographic image projection using fractional Fourier transformation

A new method of image projection based on fractional Fourier transformation is presented. This method can project an image at any distance after a lens plane. We use a modified Gerschberg–Saxton (GS) iteration algorithm to compute a phase-only hologram. The amplitude distributions both on the hologram plane and image plane are restricted while allowing their phase distributions to drift into an optimum value. The quality of the image projected by fractional Fourier hologram is close to the image projected by Fourier hologram. The RMS error between the projected image and the constrained image is computed in our experiment. A comparison in flexibility of the two projection methods is also discussed.     

Coaxial holographic data storage without recording the dc components

A technique of recovering the data pages from Fourier holograms recorded without the dc components is demonstrated theoretically and experimentally by use of a coaxial holographic storage system. A reconstructed image is obtained by adding a phase-modulated dc component of the signal beam on reading. The bit error rate of the reconstructed image is comparable with that for the hologram recorded with the dc component as well. Since high intensities of the dc components are not recorded in this technique, the dynamic range of the recording media can be saved, which potentially contributes to increasing the number of multiplexed holograms.     

Securing multiplexed information by in-plane rotation of random phase diffusers constituting a sandwich diffuser placed in the Fourier plane of a double random phase encoding system

We propose the encryption and multiplexing of two-dimensional input images by rotating the constituent diffusers of a sandwich random phase diffuser kept in the Fourier plane of a double random phase encoding system. Successive recording of encrypted images is done by taking the input images one by one. The results of multiplexing in encryption and decryption due to different sets of rotation of one or both of the random constituent phase masks have been presented. The use of an aperture system in addition to the rotation of one or both of the random phase masks enhances the multiplexing capability and security of the system avoiding the generation of cross-talk images at the time of decryption. Simulation results are presented in support of the proposed techniques. The decrypted images obtained from a multiplexed encrypted image have been recorded successfully. Mean square-error (MSE) and signal-to-noise ratio (SNR) values as a function of the number of multiplexed images have been calculated.     

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.     

Holographic imaging with a nanometer resolution using compact table-top EUV laser

Holographic 2D/3D imaging with nanometer resolution using short wavelength extreme ultraviolet (EUV) light is presented in this paper. Gabor’s holograms were recorded with a highly coherent table top EUV laser with different numerical apertures demonstrating ultimately a spatial resolution of 46+/−2 nm, comparable with the illumination wavelength, in 2D holographic imaging. Three dimensional images were obtained from a single high numerical aperture hologram recorded in a high resolution photoresist and numerically reconstructed at different image planes, allowing numerical optical sectioning with a lateral resolution ∼170 nm and depth resolution of 2.4 μm. The holograms were recorded in a high resolution photoresist and digitized with an atomic force microscope. To assess the spatial resolution of the numerical reconstructions of the holograms a correlation method was used. The algorithm allows for simultaneous estimation of the resolution and the feature size of the image under analysis.     

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.     

Holographic Femtosecond Laser Processing with Multiplexed Phase Fresnel Lenses Displayed on a Liquid Crystal Spatial Light Modulator

Parallel femtosecond laser processing with a computer-generated hologram displayed on a spatial light modulator (SLM) is demonstrated. Use of the SLM enables performance of an arbitrary and variable patterning in laser processing. The hologram uses multiplexed phase Fresnel lenses (MPFLs) with features of independent tunability, three-dimensional (3D) parallelism of the diffraction peaks, optimization of the hologram with low computational costs, and low contribution of zero-order light to the processing. To make uniform the reconstructed diffraction peaks, an MPFL is optimized by changing the center phase and size of each phase Fresnel lens while taking account of the intensity distribution of the irradiated laser pulse and the spatial frequency response of an SLM. Using the holographic technique, two-dimensional parallel processing with a single-pulse irradiation of glass is demonstrated and the processing performance is analyzed.