剪切干涉灵敏度和剪切图的全处理方法的研究

本文对剪切干涉灵敏度进行定量讨论,首次提出平均灵敏度数学模型,它圆满地解释了剪切干涉特性.通过讨论得出一个重要结论,要准确求出待测波面,必须用变剪切干涉仪,使用不同的切量对同一波面进行测量.然后采用一种新方法——剪切干涉图全处理的方法,求出待测波面.     

Enhancement of measurement sensitivity in determination of changes in the shape of a wavefront by holographic lateral-shearing interferometry

A method for increasing measurement sensitivity in the visualization of dynamics of changes in wavefront shape with the use of holographic lateral-shearing interferometry is considered. At the first stage of this method, a photograph of a reference shear interferogram obtained with tuning to closely spaced fringes is recorded under linear conditions. After chemical treatment, the photograph of the reference shear interferogram is installed in exactly its initial position. At the second stage, a series of photographs of lateral-shear interferograms of the wavefront under study is recorded under nonlinear conditions using the photograph of the reference interferogram. The photographs of the lateral-shear interferograms are optically processed by two coherent beams with selection of the highest diffraction orders, which makes it possible to visualize the dynamic component of the wavefront deformation with an increase in the measurement sensitivity (the static component is excluded in this case). The effect of the degree of nonlinearity of photograph recording on the range in which the measurement sensitivity can be controlled during the optical processing of a pair of matched photographs or one double-exposure photograph of interferograms recorded at different values of a lateral shift is analyzed.     

基于波长移相剪切干涉的准直波前重构技术

为了实现干涉仪出射准直波前的重构,提出了基于波长调谐移相的横向剪切干涉技术。干涉仪出射波前分别经楔板的前后表面反射,通过角锥棱镜返回后在干涉仪CCD上形成剪切干涉条纹。采用波长移相方法提取剪切干涉条纹的相位信息从而实现准直波前重构。分析相对剪切比对波面重构精度的影响,推导相对剪切比和其影响因素间的关系公式,给出波长移相中光程差常数分量的估算方法。测量干涉仪的三组出射波前,波前的峰谷值分别为3.22λ、2.10λ、0.83λ。该方法简化了传统测量干涉仪准直波前的横向剪切干涉装置,提高了测量精度,特别适合于测量波长移相干涉仪的出射波前。     

Measurement of Shear in a Lateral Shearing Interferometer

We analyze the influence of error in the measurement of shear value, which is a major source of error in tested results by the lateral shearing interferometer. A novel method is proposed for accurately measuring the shear of this interferometer. By introducing a defocused wavefront and making use of the wavefront slope data of the defocus and the parameters of the interferometer, we can calculate the shear value precisely, with an error less than the sampling interval of the detector. An experiment was conducted to show the effectiveness of the method.     

横向剪切干涉的波前重构新方法

 在常规横向剪切干涉仪的基础上,利用波前周期延拓的假设,基于小波变换的方法实现了波前重构。这种波前复原实现了光滑波前的快速重构,并且能够较好地快速重构非模式波前。数值模拟表明,该方法对波前复原的精度优于常规多项式拟合方法。利用该方法在不均匀介质对波前的扰动的测量重构表明,重构波前比常规多项式拟合重构波前合理。     

Registration of lateral shear interferograms for the case of dual exposure recording of Gabor holograms

It is shown theoretically and by experiment that dual exposure recording of Gabor holograms of an amplitude scattering mask leads to twice the normal sensitivity for the same amount of shift in a lateral shear interferometer of axial wavefront aberrations of a controllable wavefront.Tomsk University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 89–94, October, 1995.     

波前延拓剪切干涉的数学原理与数值模拟

从数值方法的角度分析了常规剪切干涉存在的缺陷,通过数学原理和数值分析方法提出波前延拓剪切干涉,并证明了它的可行性及其对常规剪切干涉缺陷的克服。最后用数值方法模拟了波前恢复过程。     

Analysis of Digital Lateral Shearing Interferometer

A new method is proposed for reconstructing wavefront from discretely sampled interferogram data obtained by a digital lateral shearing interferometer. Assumptions applied in the conventional methods are not used and reconstruction error caused by the difference between the amount of shear and the sampling interval can be removed. System error and the influence of the discrete sampling, which limit accuracy of the tested results of the lateral shearing interferometer, are analyzed.     

Modal wavefront reconstruction for radial shearing interferometer with lateral shear

In a radial shearing interferometer, a portion of the test beam is magnified and used as the reference for the tested wavefront. However, the reference portion is always off center (lateral shear), which complicates the wavefront reconstruction. A modal method for solving this problem is presented here. This method uses orthogonal Zernike polynomials and its matrix formalism to calculate the Zernike coefficient of the wavefront under test. This approach has easier implementation, is better filtering, and has a more adaptive practical situation. The corresponding mathematical formula is deduced, and a computer simulation is also made to verify operation of the algorithm. The result of simulation analysis shows that the proposed method is correct and accurate.     

双剪切波面干涉测量法

用于星间通信的激光器具有接近衍射极限的激光波面,已有的波面测量方法,在这一具体测量问题中,都存在一定限制。双剪切波面干涉测量法在雅满横向剪切干涉仪的基础上,采用四块楔形平板,将干涉图分为上下两个部分,具有不同的条纹间距,由此求出波面高度和符号,同得到单幅干涉图的其它干涉测量方法相比,它的最小可测量波高减小一倍以上。在介绍干涉仪的基本结构和原理的基础上,模拟了像差存在时的干涉图,并在实验上得到了波高为0．3A的初步结果。双剪切波面干涉测量法,可以目视判断波差的符号和估计量值,为等光程相干,适用于半导体等相干长度小的光源。     

动态波前误差的自适应光学实时校正

本文报道了在实验室里用由21元面阵变形反射镜、横向剪切干涉仪和平行控制系统构成的自适应光学系统实时校正动态波前误差的原理和实验结果.     

基于循环式径向剪切干涉法的波前重建算法研究

 提出一种基于循环式径向剪切干涉的波前重建算法。先将畸变波前经径向剪切干涉仪形成的空间相位调制干涉条纹图通过傅立叶变换处理获得对应的位相差分布，再直接采用迭代算法能精确重建原始波前，为ICF系统中复杂畸变波前的在线准确检测提供了可能，并给出了应用实例。     

马赫-曾德尔型相移矢量剪切干涉仪

为了实现对激光波面的等光程测试,设计了一个新颖的相移矢量剪切干涉仪。该干涉仪以马赫曾德尔结构为基础,为等光程干涉仪。通过在相干的两路光束中分别插入楔角方向正交放置的楔板实现矢量剪切;其中一块楔板分成两块(平板部分和楔板部分),楔板部分沿平板部分的表面移动,通过改变光程差来实现相移,2π相移所需的移动距离为几毫米的量级,该相移方法在相移精度控制上比较简单。文中还对楔板引入的横向剪切误差和相移误差进行了分析,最后给出了实验所得的一组相移干涉图。     

基于解耦差分泽尼克待定系数法的二维横向剪切波面重建算法

横向剪切干涉术是一种自参考干涉计量技术,其原理是被检测波前与其自身被剪开的波前之间在重叠范围内相干涉,由干涉图得到两相互剪切波前的波前差,通过波面重建算法得到待测波面.在波面重建算法中,泽尼克待定系数法是其中的一种.分析了横向剪切干涉技术的测量原理;提出了一种新的基于解耦差分泽尼克待定系数法的二维横向剪切波面重建算法....     

自适应望远镜时间响应频率的优化

分析了自适应望远镜系统的波面补偿剩余误差与频率响应的关系。分析另出了时间响应误差和波面探测误差与截止频率之间的数学表达式,表明剩余波差随载止频率的变化规律既有反方向部分,又有正方向部分,从而可以找到一个最优频率,使得系统剩余波差最小。     

CCD非线性效应对剪切干涉法波前检测的影响

利用径向剪切干涉法检测高功率激光波前时,由于探测器CCD非线性效应,在频谱中引入了除基频外的二级、三级等高次频谱分量,增加了频谱混叠的可能,使得对有用信息提取困难,降低了波前检测精度。从理论上分析了CCD非线性效应产生高次频谱分量和导致频谱混叠的原因,给出非线性条件下避免频谱混叠的条件,提出了通过提高空间载频的方法来减小或消除CCD非线性效应导致的频谱混叠。计算机模拟和实验结果表明,该方法能够有效抑制频谱混叠并显著提高波前检测精度。     

Reference-free Shack-Hartmann wavefront sensor

The traditional Shack-Hartmann wavefront sensing (SHWS) system measures the wavefront slope by calculating the centroid shift between the sample and a reference piece, and then the wavefront is reconstructed by a suitable iterative reconstruction method. Because of the necessity of a reference, many issues are brought up, which limit the system in most applications. This Letter proposes a reference-free wavefront sensing (RFWS) methodology, and an RFWS system is built up where wavefront slope changes are measured by introducing a lateral disturbance to the sampling aperture. By using Southwell reconstruction two times to process the measured data, the form of the wavefront at the sampling plane can be well reconstructed. A theoretical simulation platform of RFWS is established, and various surface forms are investigated. Practical measurements with two measurement systems-SHWS and our RFWS-are conducted, analyzed, and compared. All the simulation and measurement results prove and demonstrate the correctness and effectiveness of the method.     

Improved formula of wavefront reconstruction from a radial shearing interferogram

A radial shearing (RS) interferogram obtained by the carrier fringe method is essentially the combination of radial and lateral shearing. The previous phase reconstruction algorithm neglects the effect of lateral shearing on the obtained RS interferogram. A mathematical formula for wavefront reconstruction from an RS interferogram is deduced. If the phase difference of the tested wavefront phase, the RS ratio s, and the laterally sheared amount x(0) in the x direction and y(0) in the y direction, respectively, have been determined, the tested wavefront phase can be precisely reconstructed using this formula. The result of simulation analysis and experiment shows that the formula is correct and more accurate.     

Wavefront measurement with a phase-shifting lateral-shearing Sagnac interferometer operating in broadband light

A phase-stepping lateral shearing Sagnac interferometer for wavefront measurement is described. Phase shifting is implemented using a polarisation modulator operating on the wavelength independent Pancharatnam's phase allowing accurate measurement of phase maps even with broadband light. We demonstrate the interferometer by measuring a range of different wavefront shapes using both laser and white light.     

Phase control algorithms for focusing light through turbid media

Light propagation in materials with microscopic inhomogeneities is affected by scattering. In scattering materials, such as powders, disordered metamaterials or biological tissue, multiple scattering on sub-wavelength particles makes light diffuse. Recently, we showed that it is possible to construct a wavefront that focuses through a solid, strongly scattering object. The focusing wavefront uniquely matches a certain configuration of the particles in the medium. To focus light through a turbid liquid or living tissue, it is necessary to dynamically adjust the wavefront as the particles in the medium move. Here we present three algorithms for constructing a wavefront that focuses through a scattering medium. We analyze the dynamic behavior of these algorithms and compare their sensitivity to measurement noise. The algorithms are compared both experimentally and using numerical simulations. The results are in good agreement with an intuitive model, which may be used to develop dynamic diffusion compensators with applications in, for example, light delivery in human tissue.