衍射相关和Lau干涉

本文用离轴傅里叶变换系统的模型和菲涅耳衍射理论分析了衍射受限下的离焦相关器的系统特性,证明是第一模板和第二模板衍射像之间的强度相关积分。推导了衍射相关器作为测量相位物体的干涉仪的一般理论,这时要求编码板函数能衍射自成像并且相关函数为周期性函数。讨论了平行光栅作为编码板时的干涉仪的横向剪切干涉特性,给出了实验结果。本文还证明了衍射相关器是推广到任何平面物体在任何观察距离上的Lau效应装置。衍射相关干涉仪产生Lau干涉条纹,并且是直接应用Lau效应的干涉仪。 关键词：     

方位调制相位光栅Lau效应理论及实验研究

本文根据部分相干理论研究了方波调制相应光栅的Lau效应,在实验中观察到了理论所预言的高对比度Lau条纹.     

空间周期相干光照明下的自成像现象及Lau效应

借助模糊函数理论分析了空间周期相干光照明产生的自成像现象及Ｌａｕ效应。理论分析结果表明：当照明光源满足一定条件时，会出现自成像现象及Ｌａｕ效应。根据分析结果讨论了这些现象的可能应用。     

Lau effect and noncoherent processing

The Lau effect has been discussed from various points of view. In this paper, a new geometrical approach for the Lau effect is presented. This approach also shows the paradoxical result of Gori which has been obtained from coherence theory. Based on the present analysis, the two gratings are used to modify a noncoherent system as a coherent multichannel system An experimental result is shown for the edge enhancement.     

3-光栅系统的干涉效应

本文用部份相干的观点提出并研究了三个独立光栅串联排列系统的干涉效应。用模糊函数导出了干涉条纹光强分布为三个光栅等效函数的联合卷积-相关积分。给出了条纹存在的光栅间距离和周期比条件。随光源光栅狭缝宽度的变化相应产生相干的Talbot效应、部份相干效应和非相干的Lau效应。部份相干条纹的波形随光栅的平移而变化。最后给出了实验验证。 关键词：     

Application of source encoding to incoherent Talbot imaging and the Lau effect

We demonstrate a technique to generate Talbot images by a spatially incoherent source using a source encoding technique. We further show that a Talbot image can be formed in the optical set-up for the Lau effect following source encoding theory.     

平面周期物体的Lau效应

基于部分相干理论中交叉谱密度函数的概念研究了平面周期物体的Lan效应文章导出了平面物体Lau像光强分布式,求得了平面周期物体的Lau像光强分布及其Lau成像条件,并进行了实验验证,给出了实验结果.     

Analysis of Lau interferometric fringe for measurement of focal length by using wavelet filtering techniques

New filtering scheme is investigated and implemented on Lau interferometric fringes to enhance the signal-to-noise ratio (SNR) in the Lau interferograms. Towards this, the applicability of Haar, Daubechies and Symlet wavelet based filtering schemes have been tested. Of these schemes, the Symlet based filtering scheme gives the best results in terms of improved signal to noise ratio and speckle index. This scheme is then used to analyse Lau interferograms recorded in the experimental arrangement for focal length measurement. The processed interferograms yield improved accuracy and precision of measurement.     

任意周期性物体的扩展Lau效应:基于部分相干传递函数的分析

本文基于自由空间的部分相干传递函数对效应提出了新的解释模型,给出了描述Lau条纹强度分布的普遍公式,它适用于任意周期性的振幅或位相型物体,对于几种典型周期性物体分析了Lau条纹产生的条件及输出强度.给出了不同周期的矩形光栅产生Lau效应的实验结果.     

光栅衍射像的反差,位相和周期的分析

本文从理论上导出了相干光照明了菲涅耳衍射场中离开泰伯自成像平面时光栅像的反差、位相和周期的变化。得到了球面波和平面波照明下,光栅的傅里叶像生成的条件,从而定量地说明了泰伯效应与Lau效应的某种一致性。理论结果被实验验证。     

An explanation of the Lau effect based on coherence theory

The Lau effect is investigated as a result of the propagation of partially coherent light. It is found that the fringe structure is dependent on the relationship between the grating separation and the periodicity of the complex degree of spatial coherence in the plane of the second grating. This provides a simple and elegant means of interpreting and extending the Lau effect.     

Application of wavelet filtering techniques to Lau interferometric fringe analysis for measurement of small tilt angles

This communication presents the results of investigation undertaken towards testing the viability of wavelet filtering techniques in analyzing the Lau interferometric fringes. Towards this, the applicability of Haar, Daubechies and Symlet wavelet based filtering schemes have been tested. Of these schemes, the Symlet based filtering scheme gives the best results in terms of improved signal to noise ratio. This scheme is then used to analyze Lau interferograms recorded in the experimental arrangement for tilt angle measurement. The processed interferograms yield improved accuracy and precision of measurement.     

Rotation sensitivity of Lau fringes: an analysis based on coherence theory

An analysis based on coherence theory is presented, which explains the experimentally observed rotation sensitivity of the contrast of Lau fringes obtained under spatially incoherent illumination.     

On the spectra selectivity of Talbot and Lau effects

The locations of self-reproduction planes in the Talbot effect and the distance between coherence peaks in the Lau effect are functions of the radiation wavelength. This fact can be used to develop new methods for spectral investigations. Below, we estimate the spectral selectivity of Talbot and Lau effects and compare it with the resolving power of traditional spectrographs with diffraction gratings.     

ANALYSIS OF THE GENERAL EFFECTS IN DOUBLE-GRATING DIFFRACTION-INTERFERENCE SYSTEM

Based on the ambiguity function, the optical phenomena of the double-gearing diffraction-interference system are analysed with partially coherent illumination. Different patterns are observed on the observation plane when the optical elements are placed in their proper positions. Detailed discussions on the two extremes of coherence are given. Conclusions could be obtained about the Lau effect, the generalized Lau effect, the incoherent grating-lens imaging, the Talbot effect, the joint-Talbot effect and the generalized joint-Talbot effect. Some special cases are also verified by experiments.     

Band effects and the dipole interaction between two adatoms on a metal surface

The contribution of band effects to the adatom interaction energy is investigated to second order in perturbation theory. These are found to bring an important correction to the dipole law derived recently by Kohn and Lau.     

利用双光栅Lau效应测量透镜焦距

根据计量光栅的特点，可以利用双光栅效应测量透镜焦距．本文简述了利用双光栅Lau效应测量透镜焦距的实验原理、实验装置及测量方法，并计算了测量结果的不确定度．     

光栅成像与Lau效应

本文推导了两个光栅干涉仪的光强分布。分析了光栅周期与狭缝宽度比值对Lau条纹的影响。指出有β>p/(2a)的清晰的Lau条纹存在,并在数值计算与实验上加以证实。 关键词：     

模糊函数和任何光学系统中的Talbot-Lau效应

本文用模糊函数处理了光栅的Talbot和Lau效应,并推广到任何光学系统中。得到了十分简洁的通用表达式,它能够直接描述干涉条纹的空间分布,并只与系统的传递矩阵有关。同时也讨论了Talbot和Lau效应中的相位关系。     

Interferometry based on the lau effect

Two interferometers are described for investigating phase structures. In both an extended white light source is used for illumination. The operation of the interferometers is based on the Lau effect, which is briefly explained.