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：     

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.     

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。     

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：     

脉冲响应函数与平面周期物体构成任意光学系统的成象特性研究——理论与实验

本文首先用线性系统中脉冲响应函数的概念分析了光学系统中平面周期物体的广义Talbot效应,利用我们以前导得的Talbot和Lau成象条件,导出了广义Talbot成象条件,得到十分简洁的系统脉冲响应表示式,然后利用光学系统的线性叠加和相关原理研究了任意光学系统中Talbot效应、Lau效应和多重成象现象及其相互关系,最后讨论了任意光学系统中三者之间的关系,并进行了实验证明。所用方法简单明了。     

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.     

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.     

High-contrast white-light Lau fringes

We present a new optical assembly with which to achieve Lau fringes with totally incoherent illumination. Gratinglike codification of the spatially incoherent source combined with an achromatic Fresnel diffraction setup allows us to achieve Lau fringe-pattern visibility of almost 100% with broadband light. The white-light character to our proposed setup is in stark contrast to previous monochromatic implementations. Potential implications of this fact are identified.     

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.     

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：     

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.     

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。     

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.     

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.     

Lau effect: OTF theory

The Lau effect is an interference phenomenon involving two gratings and incoherent illumination. Here the Lau effect is described in terms of the OTF theory. It is shown that this analysis is equivalent to that given in terms of coherence theory.     

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．     

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.     

Synchronization of noise-perturbed optical systems with multiple time delays

In this paper, complete synchronization and generalized synchronization between two unidirectionally coupled optical systems with multiple time delays and noise perturbation are investigated. Sufficient conditions for both complete synchronization and generalized synchronization are rigorously established. Numerical simulations fully support the theoretical results. The effect of parameter mismatch on the quality of synchronization is also explored.     

Spatially periodic wave fields: an experimental demonstration of the relationship between the lateral and the longitudinal spatial frequencies

The relationship between the lateral and the longitudinal periodicities of the coherence function of a propagating quasi-periodic field, which has such well known manifestations as the Talbot and the Lau effects, is verified experimentally in the more general case of partial coherence. The 3-D nature of spatial periodicity of such a field might find applications in some areas of image processing or in 3-D spatial encoding of optical information.     

q变形非简谐振子奇偶广义相干态的高阶压缩效应及反聚束效应

研究了q变形非简谐振子奇偶广义相干态的高阶压缩效应和反聚束效应,并就q变量[χ]的两种不同表示情况进行了讨论.数值计算结果表明,q变形非简谐振子奇偶广义相干态均可呈现奇次方阶压缩效应和反聚束效应,这与谐振子情况的光学统计特性是不同的.