X-ray interferometer based on fresnel zone plates

A new type of X-ray interferometer based on three multilevel zone plates with common lens axis is suggested. Like to well-known triple Laue-case X-ray interferometer this interferometer does not impose strict requirements on the spatial and time coherence of the incident wave and therefore can be used with laboratory X-ray sources. The interferometer has advantages in the area of phase-contrast X-ray imaging connected with the image magnification.     

What type of coherence of the optical field is observed in the Michelson interferometer

The types and corresponding coherence functions of the optical field are considered depending on the frequency and angular spectra of the field. The main concepts of the theory of coherence effects in the interference experiment with the amplitude splitting of the initial field are discussed. It is shown that, in strict correspondence with the theory of coherence of the random wave fields, the Michelson interferometer reveals manifestations of the transverse and longitudinal spatial (rather than temporal, as it is commonly adopted) coherence of the optical field; the purely temporal coherence of the optical field is revealed only under special conditions of the interference experiment. Beyond these conditions, either spatial or spatiotemporal coherence is revealed.     

Coherence Volume of an Optical Wave Field with Broad Frequency and Angular Spectra

We consider the sizes of a region in a three-dimensional space in which an optical wave field excites mutually coherent perturbations. We discuss the conditions under which the length of this region along the direction of propagation of the wave field and, correspondingly, its volume are determined either by the width of the frequency spectrum of the field or by the width of its angular spectrum, or by the parameters of these spectra simultaneously. We obtain expressions for estimating extremely small values of the coherence volume of the fields with a broad frequency spectrum and an extremely broad angular spectrum. Using the notion of instantaneous speckle-modulation of the wave field, we give a physical interpretation to the occurrence of a limited coherence volume of the field. The length of the spatiotemporal coherence region in which mutually coherent perturbations occur at different times is determined. The coherence volume of a wave field that illuminates an object in high-resolution microscopy with frequency broadband light is considered. The conditions for the dominant influence of the angular or frequency spectra on the longitudinal length of the coherence region are given, and the conditions for the influence of the frequency spectrum width on the transverse coherence of the wave field are examined. We show that, when using fields with broad and ultrabroad spectra in high-resolution microscopy, this influence should be taken into account.     

双板电极条纹变像管设计

为满足惯性约束聚变（ICF）实验等离子体诊断中对X射线条纹相机大动态和高时空分辨能力的需求,设计了一款利用板状电极对加电四极透镜聚焦方式的变像管。此款变像管最主要的特点为时空方向聚焦方式不同,在时间方向上采用两对平板电极聚焦电子,而在空间方向上采用电四极透镜对电子进行聚焦,其空间分辨能力在阴极边缘处达到了40 lp/mm,时间分辨能力在10 ps左右,阴极有效长度为20 mm。由于变像管采用时空方向分别聚焦方式,相对传统轴对称管型来说,电子不会聚焦成点,空间电荷效应更弱,所以具有大动态能力。     

The effects of longitudinal spatial coherence of light in interference experiments

The physical conditions needed to observe the effects of longitudinal spatial coherence of emission of an extended thermal source are considered. Results of experiments on observation of interference pulses of longitudinal spatial coherence, performed using a scanning longitudinal shearing Michelson interferometer, are presented. Distinctions between the effects of temporal and longitudinal spatial coherence of light are established. It is shown that the presence of a noncompensated optical layer in one of the arms of the interferometer makes the interference pulses of the temporal and spatial coherence of light shift relative to each other (“recession”).     

扩展光源的时间和空间相干性效应分析

在干涉仪不同支路臂中分别加入透明光学层,将扩展光源入射到迈克尔逊干涉仪,观察光场的时间和空间相干现象,发现2种情况下出射光的时间和空间相干包络极值位置发生错位现象。论证了不同支路臂中的光学层可破坏干涉场中的光波相干特性,从而导致时间和空间相干性出现超前或滞后的空间位置互易效应。利用该效应,在2个入射光源条件下,可以得到一种测量光学样品的几何厚度和折射率的实验途径,并给出了相关的计算公式。     

标准球面透镜的几何特性与误差分析

标准球面透镜是斐索型干涉仪的核心器件,综述标准球面透镜的几何特性和误差。分析标准球面透镜在干涉照明光路和成像光路中的作用,重点介绍并实验验证了球面干涉成像的R-sinθ几何特性关系模型,给出了采用Q非球面实现非球面分裂的新型设计方法,以及2片式非球面标准球面透镜结构的实例,概述了针对小F数标准球面透镜球面干涉腔中的待测球面调整误差和移相空间非均匀性误差的研究成果,介绍了校正球面干涉腔中误差的波面差分算法,指出在近标准球面透镜焦点位置测量球面时的回程误差影响,从物像共轭关系角度解释了近焦点位置回程误差较大的原因,比对分析了标准球面透镜的透射波前与斜率对回程误差的影响。提出了在设计标准球面透镜时需注意的几何特性关系,以及使用标准球面透镜时易产生的误差和相应的抑制方法。     

Longitudinal pure spatial coherence of a light field with wide frequency and angular spectra

We have observed the longitudinal pure spatial coherence of a light field in an interference experiment when the length of the temporal coherence is significantly smaller than the length of the longitudinal spatial coherence of the light field. We introduce into consideration new spatial and temporal scales of a light field: the length of the coherent (free) run and the coherent time (the time of life) of a wave train.     

行波偏转器前置短磁聚焦条纹变像管理论设计与实验研究

条纹变像管因其超高时间分辨特性而成为实现皮秒至飞秒量级时间分辨的重要测量仪器.本文设计了一种同时兼顾高时空分辨的行波偏转器前置短磁聚焦条纹变像管.该管型通过减小电子渡越时间以抑制空间电荷效应、采用偏转器前置以及行波偏转方式提高偏转灵敏度,实现整管时空分辨率的大幅提升.利用CST微波工作室有限元法数值计算条纹变像管行波偏转器的通频带宽、偏转灵敏度,结果表明:本设计中的行波偏转器因其较高的通频带宽特性实现了偏转器上的电磁波相速度在很宽频率范围内与电子轴向群速度匹配,产生更有效偏转.利用CST粒子工作室模拟追踪光电子的运行轨迹,通过最佳像面上的时间调制传递函数和空间调制传递函数,计算得到其理论时间分辨率可达220 fs,空间分辨率高于100 lp/mm.同时根据像差定义给出追踪实际电子轨迹的像差计算方法,实现对变像管成像质量评价.最后利用紫外灯对其进行静态测试,获得静态空间分辨率优于35 lp/mm的结果.     

Spatiotemporal mapping of surface acoustic waves in isotropic and anisotropic materials

We demonstrate a new method for a real-time imaging of surface acoustic waves at frequencies up to 1 GHz with picosecond temporal and micron spatial resolutions using an ultrafast optical pump and probe technique combined with a common path interferometer. Using samples with isotropic or anisotropic substrates coated with metallic thin films, we observe the propagation of Rayleigh-like modes and surface-skimming bulk modes as well as resolving surface phonon focusing effects. In addition we image surface acoustic wave propagation in a laterally inhomogeneous sample.     

Density perturbations due to the inhomogeneous discrete spatial structure of space-time

We demonstrate that if space time admits an inhomogeneous discrete spatial structure due to varying gravitational fields or a foam-like structure of space-time, then thermodynamic reasoning implies that matter-density perturbations will arise in the early universe.     

Adaptive optics interferometer using superspeckles for high resolution deformation measurement

Digital speckle pattern interferometry (DSPI) is a well-known technique for measuring deformations, but it is limited in range by speckle decorrelation. We developed an adaptive interferometer with increased measurement range by combining the DSPI set-up with a pupil filter that generates optical superresolution. As a result, a decrease in the transverse speckle size is observed accompanied with a substantial increase in the longitudinal speckle size. The increase in the speckle correlation length along the optical axis allows for obtaining an out-of-plane deformation measurement over a significantly extended depth. An experimental verification of this concept of superspeckles is presented with an intensity-only LCD spatial light modulator (SLM) acting as a pupil filter. Comparison of speckle correlation fringes with and without the superresolution filter confirms the proposed concept. The present work demonstrates a doubling of the measurement range when using the superresolution interferometer. A standard set-up in which the speckle length is comparably elongated by stopping down the lens has a similar loss of intensity, but its lateral resolution is only half as good.     

The structure of a nonparaxial Gaussian beam near the focus: II. Optical vortices

Exact analytical solutions of Maxwell’s equations describing the behavior of a nonparaxial optical vortex in the vicinity of a focal waist are obtained using the Whittaker method of scalar potentials, the point complex source method, and approximate Davis boundary conditions. It is shown that nonparaxial optical vortices in free space fall into three large groups: even and odd vortices with preferential circular polarization and azimuthally symmetric TE and TM vortices. The fields of even and odd nonparaxial vortices agree well with the fields of guided homogeneous and inhomogeneous vortices of a weakly guiding fiber. In the paraxial approximation, the expressions obtained for the fields are transformed to the fields of paraxial optical vortices. In the focal region, a nonparaxial beam experiences elliptic deformation of the cross section. This elliptic deformation is shown to result from the asymmetric location of regions with negative energy flows. The reversal of sign of the topological charge and the helicity of a combination of even and odd vortices causes both rotation of the dislocation axis through π/2 and longitudinal displacement of the focal spot, which are the transverse and the longitudinal optical Magnus effects.     

Image magnified lensless holographic projection by convergent spherical beam illumination

In liquid crystal spatial light modulator(SLM)-based holographic projection, the image is usually displayed at a distant projection screen through free space diffraction from a computer-generated hologram(CGH). Therefore,it allows for removing of the projection lens for the sake of system simplification and being aberration free, known as the "lensless holographic projection". However, the maximum size of the optical projected image is limited by the diffraction angle of the SLM. In this Letter, we present a method for the implementation of image magnification in a lensless holographic projection system by using convergent spherical wave illumination to the SLM.The complete complex amplitude of the image wavefront is reconstructed in a lensless optical filtering system from a phase-only CGH that is encoded by the off-axis double-phase method. The dimensions of the magnified image can break the limitation by the maximum diffraction angle of the SLM at a given projection distance.Optical experiment results with successful image magnification in the lensless holographic projection system are presented.     

Electron transport and permittivity in a plasma with an arbitrary ionic charge

Based on the solution of a linearized kinetic equation for electrons with a Landau collision integral, we develop a theory of electron transport for small perturbations in a completely ionized plasma with an arbitrary ionic charge that is free from any constraints on the characteristic perturbation time and length scales. We calculate the potential and vortex electron fluxes for an arbitrary electron collision frequency that allow the spatial and temporal nonlocal transport to be described. We also derive expressions for the longitudinal and transverse electron permittivities of a collisional plasma with an arbitrary ionic charge that are suitable for describing the plasma response to small perturbations with an arbitrary frequency and wave vector. Using the transverse permittivity, which allows the absorption of an electromagnetic wave to be described in the entire range of plasma parameters (from the strongly collisional to the collisionless one), as an example, we provide a detailed comparison with previously known models.     

Allgemeine gausssche theorie eines mechanischen kompensierten zoom-objektivs; 2. Zoom-objektiv aus (n - 2) beweglichen gliedern

We use a real time holographic interferometer, realized by means of a speckle photography, recorded in the image plane of the lens to be studied. It can be shown that a rotation of this lens around a mechanical axis gives rise to interference fringes, which can be used to determine the errors of centring on this axis.     

用于激光驱动飞片诊断的线成像速度干涉仪

设计并建立了一套完整的线成像激光干涉测速系统,用于激光驱动技术中小尺寸飞片或样品一条线上所有点的速度测量。它将激光压缩为线状照射到靶面,用成像物镜收集靶面的漫反射光并传递到广角迈克尔逊干涉腔中形成干涉,产生的梳妆干涉条纹作为信号载体,用变像管扫描相机记录条纹随时间的变化,用不同位置的条纹移动量反推出不同位置的速度分布,实现空间分辨。系统具有50 ps响应时间和20μm空间分辨能力。用该系统测量了激光驱动飞片的速度场,清晰的扫描干涉图像直观显示了飞片的运动过程和各点的速度差异。用傅里叶变换方法对干涉图像进行处理,得到了靶面一条线的速度和位移分布。     

孪生光束干涉法测量光源的空间相干性

定量测定光源空间相干性在部分相干光成像, 非相干全息术及光信息处理领域具有重要的研究价值. 本文基于三角全息干涉光路提出了一种测量光源空间相干性的新方法. 利用三角干涉全息光路系统中分束镜产生的孪生光束进行干涉获得干涉图, 通过调整光源中心位置在写入平面内偏离光轴的量, 改变两孪生光束空间分离量的大小, 采集对应的一系列干涉图, 计算干涉图样的对比度, 从而对光源照明空间的波前上一系列不同距离的点对之间的空间复相干度进行测量. 实验系统光路配置较为简单且不需要使用特殊加工的光学元件. 针对一个准单色的扩展光源设计并进行实验, 结果表明利用文中提出的方法可以准确的测量光源的空间相干性, 实验结果相对于理论计算值的误差仅为3.8%. 关键词： 相干性 全息干涉 干涉仪 光学应用     

Measuring the complete transverse spatial mode spectrum of a wave field

We put forward a method that allows the experimental determination of the entire spatial mode spectrum of any arbitrary monochromatic wave field in a plane normal to its propagation direction. For coherent optical fields, our spatial spectrum analyzer can be implemented with a small number of benchmark refractive elements embedded in a single Mach-Zehnder interferometer. We detail an efficient setup for measuring in the Hermite-Gaussian mode basis. Our scheme should also be feasible in the context of atom optics for analyzing the spatial profiles of macroscopic matter waves.