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Theoretical study of the diffraction anomalies of holographic gratings 全息光栅衍射异常的理论研究
Pub Date : 1974-07-01 DOI: 10.1088/0335-7368/5/4/305
R. C. M. Phedran, D. Maystre
Recent experimental measurements made by Hutley in the visible region on holographic diffraction gratings have revealed that serious discrepancies exist between predictions based on an infinite conductivity grating theory and the actual behaviour of optical gratings. It is shown here that these discrepancies can be removed if finite conductivity effects are taken into account by the grating theory. Grids of efficiency curves calculated for gratings having sinusoidal profiles covered with aluminium are given here. It is shown how these curves may be used to estimate the groove depths of holographic gratings from their experimental efficiency curves, using as an example the data Hutley. The importance of profile distortion on the form of the efficiency curves is made evident. Theoretical data is given on the best mount for holographic gratings, and also on the range of groove depths which gives them the best blaze.
huttley最近在全息衍射光栅的可见区进行的实验测量表明,基于无限导电性光栅理论的预测与光学光栅的实际行为之间存在严重的差异。这里表明,如果考虑光栅理论的有限电导率效应,这些差异是可以消除的。本文给出了用铝覆盖的正弦光栅计算效率曲线的网格。以huttley的实验数据为例,说明了如何利用这些曲线从全息光栅的实验效率曲线来估计槽深。阐明了齿形畸变对效率曲线形状的重要性。理论数据给出了最佳安装全息光栅,并在槽深的范围内,使他们最好的火焰。
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引用次数: 13
Transmission profile of a Fabry-Perot interferometer suffering from asymmetric surface defects 具有非对称表面缺陷的法布里-珀罗干涉仪的透射曲线
Pub Date : 1974-07-01 DOI: 10.1088/0335-7368/5/4/304
G. Bhatnagar, Kehar Singh, B. N. Gupta
A study has been made of the transmission characteristics of a Fabry-Perot interferometer as modified by the asymmetric surface defects present on the plates. Asymmetric line profiles can be obtained if the error in the plates is not symmetrically distributed about the mean planes of the plates. Peak irradiance and shift of fringe from its integral order position have been tabulated. Such investigations are of interest in a number of problems in high resolution spectroscopy.
本文研究了不对称表面缺陷对法布里-珀罗干涉仪透射特性的影响。如果板的误差不对称地分布在板的平均平面上,就会得到不对称的线形。峰值辐照度和条纹从其积分阶位置的位移已制成表格。这类研究对高分辨率光谱学中的许多问题都很有意义。
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引用次数: 7
Holography set-up with two reference sources 全息设置与两个参考源
Pub Date : 1974-07-01 DOI: 10.1088/0335-7368/5/4/301
J. Surget
The holographic interferometry bench presented in the paper is different from conventional set-ups in that it uses a second reference source. This source can be adjusted in position, and the phase of its radiation is continuously adjustable. This improvement increases the possibilities of applications of interferometry as it authorizes experiments impossible with the conventional interferometer or a current holography set-up. The operating mode calls upon the two techniques of reference hologram and of double exposure. Three examples of application on actual cases are presented, and illustrated by photographs.
本文提出的全息干涉测量台不同于传统的装置,它使用了第二个参考源。该光源位置可调,其辐射相位连续可调。这一改进增加了干涉测量应用的可能性,因为它授权了传统干涉仪或当前全息装置无法进行的实验。这种工作方式需要参考全息和双重曝光两种技术。给出了三个应用实例,并配以图片说明。
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引用次数: 7
Computer generated holograms with continuously varying grey level. Application to the synthesis of holographic memory 计算机生成的灰度连续变化的全息图。全息存储器合成中的应用
Pub Date : 1974-07-01 DOI: 10.1088/0335-7368/5/4/302
J. Fleuret
Facilities of computer generated Fourier holograms are envisioned with the synthesis of a computer holographic memory in view. The computing process described is applicable to a class of objects made up of binary points. A relatively small number of samples is used, and this without any phase encoding. A double threshold amplitude saturation is performed on the Fourier transform, thus optimising the efficiency and S/N ratio, both studied on a theoretical model and by numerical simulation. Non linearities are finally cut out by a very simple filtering process implemented in incoherent light, the result being synthesis of a continuously varying grey level function. A 3 x 3 mm Fourier hologram of a 64 x 64 binary point object restores a highly acceptable image. Nevertheless the photoreduction is slow and limits storage density. A direct point by point discretely recorded hologram is proposed. For this purpose, we describe two alternate systems of a real-time computer-controlled optical microprinter. Using the above methods, characteristics are outlined for computers holographic memories.
从合成计算机全息存储器的角度出发,设想了计算机生成傅立叶全息图的设施。所描述的计算过程适用于一类由二进制点组成的对象。使用的样本数量相对较少,而且没有任何相位编码。对傅里叶变换进行双阈值幅度饱和,从而优化了效率和信噪比,并通过理论模型和数值模拟进行了研究。非线性最后通过一个非常简单的滤波过程在非相干光中实现,结果是合成一个连续变化的灰度函数。一个3 × 3毫米的傅里叶全息图的64 × 64二进制点对象恢复一个高度可接受的图像。然而,光还原是缓慢的,限制了存储密度。提出了一种直接逐点离散记录全息图。为此,我们描述了实时计算机控制的光学微型打印机的两个备选系统。利用上述方法,概述了计算机全息存储器的特性。
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引用次数: 5
Speckle interferometry observations at Mount Palomar 帕洛玛山散斑干涉测量观测
Pub Date : 1974-05-01 DOI: 10.1088/0335-7368/5/3/302
A. Labeyrie
Speckle Interferometry has originated as an extension of methods previously used by Fizeau, Michelson and Pease for observing stellar details in the presence of atmospheric seeing. The « fine structure » of stellar images long reported by some observers of double stars is in fact a speckle pattern similar to that observable in diffused laser beams. As could be predicted from this interpretation, 1 000 speckles were found in the image given by the 5-meter Palomar telescope when observing in monochromatic light with short exposures. The fringes observed by Michelson and Pease, using a Fizeau screen on the aperture, are a special case of speckle which can be analyzed visually because of its simpler structure. The convolution of the specklesby details of the stellar object may be detected by time-averaging the autocorrelation function (or the power spectrum) of the instantaneous image, giving the autocorrelation function (or the power spectrum) of the object. Observations were carried out using a television sensor and optical processing techniques. The diameters of several supergiant stars were measured and limb darkening evidenced in α Orionis and o Ceti. A dozen stars were found to be binary, including Algol for which the predicted third body is thus evidenced. Future developments include observations at very low levels in the photon counting mode, and real time electronic processing. Use of several large telescopes in the synthetic aperture mode is also becoming feasible.
散斑干涉测量法起源于菲索、迈克尔逊和皮斯先前使用的方法的扩展,用于在大气观测的情况下观察恒星的细节。一些双星观测者长期以来报告的恒星图像的“精细结构”实际上是一种类似于在漫射激光束中观察到的斑点图案。从这个解释可以预测,5米帕洛玛望远镜在单色光下短曝光观测时,在图像中发现了1000个斑点。迈克尔逊和皮斯在光圈上使用菲索屏观察到的条纹是一种特殊的散斑,由于其结构简单,可以直观地分析。可以通过对瞬时图像的自相关函数(或功率谱)进行时间平均,得到该物体的自相关函数(或功率谱),来检测恒星物体的散斑细节的卷积。利用电视传感器和光学处理技术进行观测。测量了几颗超巨星的直径,发现猎户座α星和Ceti星的翼缘变暗。有12颗恒星被发现是双星,其中包括大人马座,因此预测的第三颗恒星被证明是双星。未来的发展包括在光子计数模式下的极低水平观测和实时电子处理。在合成孔径模式下使用几个大型望远镜也变得可行。
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引用次数: 31
Temporal variation of the laser parameters in molecular nitrogen 激光参数在分子氮中的时间变化
Pub Date : 1974-05-01 DOI: 10.1088/0335-7368/5/3/305
J. Girardeau-Montaut, C. Girardeau-Montaut
Theses calculation permit to know temporal variation of the laser parameters in molecular Nitrogen:energy and density of the pumping electrons, plasma resistance, inversion rate and laser power density under given conditions (electric field and gas pressure). They can be uses with other gas showing identical inversion schemes.
这些计算可以知道在给定条件下(电场和气体压力)氮分子中激光参数的时间变化:抽运电子的能量和密度、等离子体电阻、反转速率和激光功率密度。它们可以与具有相同反演方案的其他气体一起使用。
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引用次数: 6
Resolution of two unequally bright points with partially coherent light 用部分相干光分辨两个不相等的亮点
Pub Date : 1974-05-01 DOI: 10.1088/0335-7368/5/3/304
T. Asakura
The resolution of two points having unequal intensity has been investigated under the partially coherent illumination by using the newly modified Sparrow criterion. The resolution is discussed as functions of the degree of spatial coherence of the illumination and the intensity difference of two object points. The critical resolution increases as the degree of coherence decreases, irrespective of the intensity difference of two points. As the difference between the two point intensities increases, the critical resolution decreases. The two ratios of the measurable to the real point separation and of the measurable maximum intensity to the real object intensity are studied in some detail as functions of the degree of coherence of the illumination and the difference of two point intensities.
采用新改进的Sparrow判据,研究了在部分相干光照条件下不均匀两点的分辨。讨论了分辨率作为照明空间相干度和两个目标点强度差的函数。临界分辨率随相干度的减小而增大,与两点的强度差无关。随着两点强度差的增大,临界分辨率降低。详细研究了可测点距离与实测点距离的比值和可测最大强度与实测点强度的比值作为照度相干度和两点强度差的函数。
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引用次数: 31
General theory of stratified media. Applied to the research of the correction of aircraft radome errors 分层介质的一般理论。应用于飞机天线罩误差的校正研究
Pub Date : 1974-05-01 DOI: 10.1088/0335-7368/5/3/306
Ch Favier de Coulomb
The problem treated in this paper is the radiation disturbances of a tracking radar antenna placed in the nose of a supersonic aircraft or engin which are due to the insertion of the radome between the antenna and its environment. The two essential reasons for the errors caused by the radome are: the taperd slim form given to the radome for to keep up with aerodynamic requirements. the rotating movement of the antenna about a point centered in the radiating surface. From these two particular points it is understood that the waves starting from the antenna may cross the radome wall with important and even grazing incidence angles. Amongst the radome errors deriving from this fact and being the most undesirable one is the axis deviation of a tracking radar which we call in the following the ? radome aberration ?. The different procedures employed up to now in order to correct this aberration (local thickness variations for an example) were not completely satisfying. Hence we had to look for and to try new methods in application of new ideas. So it seems a priori to be possible to dispose of a greater number of parameters for the correction of the radome aberration by increasing the number of dielectric layers used to built up a radome wall. But the theory of satisfied media, not being simple at its base, gets rapidly still more complicated by increasing the number of dielectric layers. In the first part of the paper a general theory of electromagnetic wave propagation in stratified media, divided into an arbitrary number of dielectric layers, is established. This theory is than appplied in the second part to the study of transmission and phase of a plane wave incident on a multilayer wall at grazing angles. The research has been directed to obtain good transmission and quasi zero phase variation versus incidence, the former in order to optimize energy transmission through the radome wall, the latter in order to facilitate the correction of radome aberration thanks to small phase variation and small phase variations cause poor transmission. It is finally shown that the best compromise for the design of a engin nose radome is the monolithic wall being adapted at the limit of grazing incidence and having a high dielectric constant.
本文研究的是放置在超音速飞机或发动机机头的跟踪雷达天线由于天线罩的插入而产生的辐射干扰问题。造成天线罩误差的两个重要原因是:为了满足气动要求,天线罩采用了锥形的细长外形。天线围绕辐射表面中心一点的旋转运动。从这两个特殊的点可以理解,从天线出发的波可能以重要的均匀掠入射角穿过天线罩壁。在由这个事实产生的天线罩误差中,最不受欢迎的是跟踪雷达的轴偏差,我们在下面称之为?天线罩畸变?。到目前为止,为了纠正这种像差(例如局部厚度变化)而采用的不同程序并不完全令人满意。因此,我们必须寻找和尝试应用新思想的新方法。因此,通过增加用于建立天线罩壁的介电层的数量,似乎可以先验地处理更多的参数来校正天线罩像差。但是,满足介质理论的基础并不简单,随着介电层数的增加,它迅速变得更加复杂。本文第一部分建立了电磁波在分层介质中传播的一般理论,这种介质被划分为任意数目的介电层。第二部分将该理论应用于入射多层壁面的平面波在掠掠角下的传输和相位的研究。研究的方向是获得良好的传输和准零相位随入射变化,前者是为了优化能量通过天线罩壁的传输,后者是为了校正天线罩像差,因为相位变化小,而相位变化小导致传输差。最后表明,对于发动机机头天线罩的设计来说,最好的折衷方案是在掠射入射的极限处采用单片壁,并具有较高的介电常数。
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引用次数: 0
Transmission of light pulse through a Fabry-Perot interferometer 光脉冲通过法布里-珀罗干涉仪的传输
Pub Date : 1974-05-01 DOI: 10.1088/0335-7368/5/3/301
A. Kastler
In the first part the author reviews the classical theory of the Fabry Perot interferometer that is applicable when the interferometer is illuminated by a light beam of coherent vibrations having long duration. In the second part, he studies how a pulse of square form is transmitted through a Fabry Perot interferometer. The two parameters of duration τ and τ' that characterize the instrument were defined. τ represents the duration of light path for a forward and backward motion between the two plates and τ' characterises the duration of the exponential attenuation of the beam due to the successive multiple reflections it suffers. In the case of the pulse having duration Θ0 > τ the emergent vibrations superpose progressively and the profile of intensity of the output pulse as a function of time is calculated. In case when Θ0 < τ the successive separated pulses do not overlap. The Fourier analysis of the signal received by a detector has been discussed in this case. In part III, the analogy between the spectrum of the signal and the optical spectrum of the Fabry Perot has been shown. In part IV, the profile of the light reflected by the Febry Perot receiving a light pulse, in the time domain, has been established and in part V the balance of light energy stored in the Fabry Perot has been established.
在第一部分中,作者回顾了法布里·珀罗干涉仪的经典理论,该理论适用于干涉仪被长持续时间的相干振动光束照射的情况。在第二部分,他研究了方形脉冲如何通过法布里·珀罗干涉仪传输。定义了表征该仪器的两个持续时间参数τ和τ'。τ表示在两个板之间向前和向后运动的光路的持续时间,τ'表征由于连续多次反射引起的光束指数衰减的持续时间。在脉冲持续时间Θ0 > τ的情况下,涌现振动逐渐叠加,并计算输出脉冲强度作为时间函数的分布。当Θ0 < τ时,连续分离的脉冲不重叠。本文讨论了探测器接收到的信号的傅里叶分析。在第三部分中,表明了信号频谱与法布里·佩罗号的光谱之间的类比。在第四部分中,已经确定了在时域中接受光脉冲的佩罗反射的光的轮廓,在第五部分中已经确定了存储在法布里·佩罗中的光能的平衡。
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引用次数: 37
Extraction of difference betwen two images 提取两幅图像之间的差异
Pub Date : 1974-05-01 DOI: 10.1088/0335-7368/5/3/303
S. Debrus, M. Françon, P. Koulev
The two photographs to be compared are modulated by a diffuser containing high spatial frequencies and are successively recorded on a photographic plate. The diffuser is given a small translation in its plane between the two exposures. After processing under the usual conditions of linearity, the negative is illuminated by a parallel beam of coherent light. The spectrum observed at the focus of a lens is modulated by straight parallel fringes. These fringes are broad if the translation of the diffuser between the exposures is small. A simple slit placed in the Fourier plane eliminates the light due to identical regions of the two photographs and transmits the difference, which can be seen in the image of the negative. Since the fringes in the Fourier spectrum are as wide as two centimeters, one can employ a broad source. This assures good quality reconstructions. Further as the diffuser has a structure finer than the smallest details on the photographs, the diffuser does not lower the quality of the images.
要比较的两张照片由含有高空间频率的扩散器调制,并依次记录在照相底片上。扩散器在两个曝光之间的平面上有一个小的平移。在通常的线性条件下处理后,负极被一束平行的相干光照射。在透镜焦点处观察到的光谱是由平行的直条纹调制的。如果漫射器在曝光之间的平移很小,这些条纹就很宽。在傅里叶平面上放置一个简单的狭缝,消除了由于两张照片的相同区域而产生的光,并传输了差异,这可以在底片的图像中看到。由于傅立叶光谱中的条纹宽达两厘米,因此可以采用宽光源。这保证了高质量的重建。此外,由于扩散器具有比照片上最小的细节更精细的结构,因此扩散器不会降低图像的质量。
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引用次数: 9
期刊
Nouvelle Revue D'optique
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