The autocorrelation of speckles in deep Fresnel diffraction region and characterizations of random self-affine fractal surfaces

This paper studies the correlation properties of the speckles in the deep Fresnel diffraction region produced by the scattering of rough self-affine fractal surfaces. The autocorrelation function of the speckle intensities is formulated by the combination of the light scattering theory of Kirchhoff approximation and the principles of speckle statistics. We propose a method for extracting the three surface parameters, i.e. the roughness w, the lateral correlation length xi and the roughness exponent alpha, from the autocorrelation functions of speckles. This method is verified by simulating the speckle intensities and calculating the speckle autocorrelation function. We also find the phenomenon that for rough surfaces with alpha = 1, the structure of the speckles resembles that of the surface heights, which results from the effect of the peak and the valley parts of the surface, acting as micro-lenses converging and diverging the light waves.

Observing the fractional Fourier transform by free-space Fresnel diffraction

The fractional Fourier transform of an object can be observed in the free-space Fresnel diffraction pattern of the object. (C) 1997 Optical Society of America

Cascaded Fresnel digital hologram and its application to watermarking

A cascaded Fresnel digital hologram (CFDH) is proposed, together with its mathematical derivation. Its application to watermarking has been demonstrated by a simulation procedure, in which the watermark image to be hidden is encoded into the phase of the host image. The watermark image can be deciphered by the CFDH setup, the reconstructed image shows good quality and the error is almost close to zero. Compared with previous technique, this is a lensless architecture which minimizes the hardware requirement, and it is used for the encryption of digital image.

Watermarks encrypted in the cascaded Fresnel digital hologram

A cascaded Fresnel digital hologram (CFDH) is proposed, together with its mathematical derivation. Its application to watermarking has been demonstrated by a simulation procedure, in which the watermark image to be hidden is encoded into the phase of the host image. The watermark image can be deciphered by the CFDH setup, the reconstructed image shows good quality and the error is almost closed to zeros. Compared with previous technique, this is a lensless architecture, which minimizes the hardware requirement. (c) 2006 Elsevier GmbH. All rights reserved.

Diffraction at 8-keV x-rays of Bragg-Fresnel optics

The basic elements of Bragg-Fresnel multilayer optics are multilayer gratings. In this paper, the fabrication process for the simplest Bragg-Fresnel multilayer optics is given; the diffraction measurements at 8-keV x rays of multilayer gratings are presented; and the measurement results in the diffraction spectrum are analyzed and discussed in detail. (C) 1996 Society of Photo-Optical Instrumentation Engineers.

Stability of Mo/Si multilayer structure used in Bragg-Fresnel optics

The thermal and chemical stabilities of Mo/Si multilayer structure used in Bragg-Fresnel optics were studied to get optimal technological parameters of pattern generation. Mo/Si multilayers were annealed at temperature ranging from 360 to 770 K, treated with acetone and 5 parts per thousand NaOH solution, and characterized by small-angle x-ray diffraction technique as well as x-ray photoelectron spectroscopy, and Olympus microscopy.

共焦不稳定光学谐振腔的解析解

本文将Kirchhoff-Fresnel积分方程变换到Fourier空间,求解后得到共焦不稳定腔解析形式的本征函数、本征值、共振条件与远场分布。本文所得Fourier空间中的本征函数形式很简单,可为进一步研究不稳定腔提供一个简便的出发点。

不稳定腔的本征值与本征函数

本文证明了不稳定谐振腔的本征值与本征函数的存在性,并证明了不稳定腔的本征值与本征函数组成可数的无穷序列;同时,指出了文献[1]所提出的ε近似本征值与δ近似本征函数的概念并不能真实反映实际不稳定谐振腔的损失与场分布,并指出了有限镜面不稳定谐振腔是具有选模特性的.

高速流动激光器的稳定振荡条件、模式结构与输出功率特性

本文直接由辐射场方程与边界条件导出了高速流动激光器的稳定振荡条件,指出了文献[1]所假定的稳定振荡条件仅在一定条件下近似成立,用本文得到的稳定振荡条件与文献[2]的饱和增益公式导出了GDL输出功率表达式,指出了输出功率与GDL各种参量之间的关系,用几何光学近似导出了光腔模式的解析表达式,指出了充有流动激活介质的Fabry-Perot腔的模式结构与特征.文中对Gerry的典型

Reflection and refraction of light at the interface of a uniaxial bicrystal

This paper deals with a theoretical analysis of the reflection and refraction of light at the interface of a bicrystal by use of Maxwell's equations. For a general case, the formulas of Snell's Law and the four Fresnel coefficients for the reflection and refraction of extraordinary light at the interface of a uniaxial bicrystal are derived for the first time, as well as the Brewster angle value. The condition for total reflection is presented and the electromagnetic fields distributions at both sides of a bicrystal are presented when total reflection occurs.

大气湍流对斜程传输准单色高斯谢尔光束时间相干性的影响

由第一类零阶贝塞尔函数的级数展开推导出波结构函数在任意湍流条件下的近似表达式。由广义惠更斯菲涅耳原理、随高度变化的Hufnagel-Valley湍流廓线模型以及波结构函数在任意湍流条件下的近似表达式,导出了斜程传输时准单色高斯谢尔光束互相干函数的解析式。然后,利用表征光束时间相干性的纵向相干长度(可由互相干函数导出),研究了斜程传输时大气湍流对准单色高斯谢尔光束时间相干性的影响。研究结果表明,准单色高斯谢尔光束的时间相干性在整个斜程传输过程中保持不变。最后,对该结果在物理上给予了定性解释。

合成孔径激光成像雷达(Ⅰ):离焦和相位偏置望远镜接收天线

把合成孔径激光成像雷达的目标衍射区分为三个区域,提出采用离焦或者附加空间相位调制板的光学接收望远镜补偿回波像差。当目标处于菲涅耳衍射区时可采用离焦或偏置望远镜补偿回波二次项离焦像差并产生用于孔径合成的二次项相位历程;目标处于夫琅和费衍射区时可以采用离焦或偏置望远镜补偿回波二次项离焦像差但不产生相位历程;目标处于瑞利-索末菲衍射区域时不可能补偿回波高阶像差。

Optical interconnection for neural networks by use of a self-imaging function

A grating-lens combination unit is developed to form a scaling self-transform function that can self-image on scale. Then an array of many such grating-lens units is used for the optical interconnection of a two-dimensional neural network, and experiments are carried out. We find that our idea is feasible, the optical interconnection system is simple, and optical adjustment is easy. (C) 1998 Optical Society of America.

Extended fractional Fourier transforms

The concept of an extended fractional Fourier transform (FRT) is suggested. Previous PBT's and complex FRT's are only its subclasses. Then, through this concept and its method, we explain the physical meaning of any optical Fresnel diffraction through a lens: It is just an extended FRT; a lens-cascaded system can equivalently be simplified to a simple analyzer of the FRT; the two-independent-parameter FRT of an object illuminated with a plane wave can be readily implemented by a lens of arbitrary focal length; when cascading, the Function of each lens unit and the relationship between the adjacent ones are clear and simple; and more parameters and fewer restrictions on cascading make the optical design easy. (C) 1997 Optical Society of America.