Acousto-optic Bragg diffraction in paratellurite by the sidelobes of the spatial radiation spectrum of an acoustic transducer

Acousto-optic Bragg diffraction in paratellurite is investigated within the two first diffraction orders for the case of diffraction by the sidelobes of the spatial radiation spectrum of an acoustic transducer. One of the diffraction orders is due to anisotropic diffraction, and the other, to isotropic diffraction. Such a diffraction regime is achieved when the diffraction plane is inclined toward the optical axis of the crystal. For light with a wavelength of 0.63 × 10^–4 cm diffracted by a “slow” sound wave with a frequency of 26 MHz, the effect manifests itself when the angle between the acousto-optic diffraction plane and the optical axis of paratellurite is ~3°. The effect is experimentally verified. The diffraction efficiency is 20% for each of the diffraction orders for a microwave signal of 8 V at the transducer.     

方孔夫琅禾费衍射的数值模拟

根据惠更斯-菲涅耳原理,利用数值计算的方法对方孔夫琅禾费衍射实验进行了模拟,在验证衍射理论的同时,还得到了非傍轴区域和微方孔的衍射图,拓展了衍射的概念,为深入理解光的衍射提供了参考.     

平面透射光栅的菲涅耳衍射

从标量场的菲涅耳衍射理论出发,研究了球面波入射平面透射光栅的衍射场,导出菲涅耳衍射场的复振幅分布,并得到光栅菲涅耳衍射角的计算公式．结果表明,在理想情况下菲涅耳衍射的每一级衍射波都是一个球面波;在对菲涅耳衍射角进行新的定义后,衍射角的计算仍然可以采用夫琅禾费衍射的光栅方程．     

水基磁性液体的场诱导光衍射特性的研究

设计了一套用于研究磁性液体的场诱导静态和动态光衍射特性的实验装置.通过在样品的后方放置一个适当孔径的光阑,实现了定量研究其衍射特性的目的.采用沿衍射方向移动光阑的方法定量地研究了衍射光的空间分布.设计了一个指数衰减函数用来拟合动态衍射实验的数据,获得动态衍射的特征时间.以两种不同浓度的表面包覆型水基氧化铁磁性液体样品为例,定量地实验研究了其场诱导光衍射特性与外磁场强度和样品浓度的关系.结果表明,磁性液体的场诱导结构对光的静态和动态衍射与外磁场的强度和磁性液体的浓度有关.其静态衍射与外磁场强度呈非单调的关系|其动态衍射的特征时间与外磁场的强度成反比,与磁性液体的浓度成正比.对实验中观察到的场诱导静态和动态衍射特性的物理机理进行了详细的分析.     

水基磁性液体的场诱导光衍射特性的研究

设计了一套用于研究磁性液体的场诱导静态和动态光衍射特性的实验装置.通过在样品的后方放置一个适当孔径的光阑,实现了定量研究其衍射特性的目的.采用沿衍射方向移动光阑的方法定量地研究了衍射光的空间分布.设计了一个指数衰减函数用来拟合动态衍射实验的数据,获得动态衍射的特征时间.以两种不同浓度的表面包覆型水基氧化铁磁性液体样品为例,定量地实验研究了其场诱导光衍射特性与外磁场强度和样品浓度的关系.结果表明,磁性液体的场诱导结构对光的静态和动态衍射与外磁场的强度和磁性液体的浓度有关.其静态衍射与外磁场强度呈非单调的关系;其动态衍射的特征时间与外磁场的强度成反比,与磁性液体的浓度成正比.对实验中观察到的场诱导静态和动态衍射特性的物理机理进行了详细的分析.     

Light diffraction features in an ordered monolayer of spheres

The structure and optical diffraction properties of monolayers of monodisperse spheres crystallized on transparent dielectric substrates are studied. Two types of diffraction phenomena are considered: surface light diffraction on the lattice of spheres and waveguide resonances in the monolayer plane. For experimental study of these phenomena, optical retroreflection and transmission spectra are measured as functions of the light incidence angle and azimuthal orientation of the incidence plane. The monolayer structures determined by scanning electron microscopy and light diffraction methods are in quantitative agreement. It is concluded that one-dimensional Fraunhofer diffraction is applicable to describe surface diffraction in the hexagonal lattice of spheres. In the case of oblique light incidence, anisotropy of diffraction and transmission spectra depending on the light incidence plane orientation with respect to the sphere lattice and linear polarization of incident light is detected. Waveguide resonances of the planar two-dimensional photonic crystal are approximated within the light diffraction model in the “empty” hexagonal lattice. The best approximation of the waveguide resonance dispersion is achieved using the effective refractive index, depending on the wavelength. Surface diffraction suppression by waveguide resonances of the photonic crystal is demonstrated. Surface diffraction orders are identified as diffraction at singular points of the Brillouin zone of the planar twodimensional photonic crystal.     

计算机模拟任意形状衍射屏的衍射

把菲涅耳衍射积分化为含快速傅里叶变换的积分,对任意形状衍射屏的衍射进行模拟,其特点是直接用含快速傅里叶变换的积分求解出不同传播距离观察屏上的光场分布,得出菲涅耳衍射和夫琅禾费衍射的衍射花样.通过计算机对常见的缝孔的衍射的模拟,有助于理解衍射光在传播方向上近场衍射和远场衍射的不同和衍射花样的分布特征.     

大孔径会聚光束的圆孔和圆屏衍射及其反演变换

实验中发现,经常使用的大孔径会聚光束的圆孔和圆屏衍射图样不同于一般的菲涅耳圆孔和圆屏衍射图样.通过对这种光束进行的实验性研究发现,这是一种由球差引起的畸变了的会聚球面波光束.解释了衍射图样的形成,证明了这种光束的衍射图样中存在反演变换关系.利用这种光束可以对微小的衍射物体进行反演放大.     

太阳辐射计的衍射效应修正

太阳辐射测量是研究太阳活动与地球气候演变的重要方式之一,对人类社会的可持续发展具有重要意义。衍射效应作为测量过程中系统误差的主要来源之一,有必要进行精确的修正,从而提高测量数据的精度。首先,对衍射效应理论进行研究,从Kirchhoff衍射理论出发,在高斯光学近似下,逐步确定点与点,点与面,面与面之间的能量传输关系,推导出了衍射效应的一般公式;接着,根据衍射效应的渐近性质,得到了一种简化的计算方法;然后,用简化的方法计算太阳辐照绝对辐射计(SIAR)的衍射效应以及衍射修正因子,最后,根据衍射修正结果,计算相对于世界辐射基准(WRR)的定标系数。结果显示:SIAR的衍射效应以及衍射修正因子分别约为1.002 742和0.997 265。经过衍射修正后,SIAR对WRR的定标系数更接近于1,表明衍射修正降低了系统误差,提高了辐射测量的准确度。     

Diffraction equations for weak scattering reflective surface

In order to investigate the surface roughness dependence of speckle patterns, the complex-amplitude distribution of the speckle field should be obtained first. In previous studies, most investigators have treated this problem using the Fresnel or Fraunhofer diffraction equation. But for a weakly scattering reflective surface, when the observation plane is not parallel to the object plane, the Fresnel and Fraunhofer diffraction equations become inapplicable. Therefore, a reflective surface diffraction model (RSDM) is formed. When the difference between the RSDM and the transmission aperture diffraction model (TADM) is considered, then a general diffraction equation is presented. Considering the variations of the near-field approximation caused by coordinate system rotation, the near-field diffraction equation is derived. By introducing the far-field approximation, the far-field diffraction equation is obtained. The physical meanings of factors in the new equations are interpreted. Comparisons between the Fresnel and Fraunhofer diffraction equations and the newly derived ones show that the former are just the special cases of the latter. Finally, an application of these new diffraction equations is proposed.     

关于菲涅耳衍射图样相似性的分析与讨论

与夫琅禾费衍射不同,菲涅耳衍射图样对于给定波长,当衍射距离变化或输入图像几何缩放时一般都不具有相似性.但我们的分析表明,若波长、衍射距离和输入图像几何线度诸参数满足一定关系,或对于某些特殊类型孔径,菲涅耳衍射图样有可能彼此相似.本文导出了在上述诸参数发生变化时菲涅耳衍射图样保持相似性的普适条件,以及此时衍射图样大小与诸参数的定量关系,并对包括圆孔衍射和直边衍射等情况都得到了一系列有价值的推论.     

关于由衍射片的背面反射光形成的衍射图样的讨论

在光的衍射实验中,我们看到的一般是由通过衍射片的直射光形成的衍射图样,但在衍射片的另一面,同样存在着另一个衍射图样,它是由衍射片的背面反射光形成的,两个衍射图样关于衍射片对称.本文给出了这种实验现象,并用巴比涅原理解释了这种现象.     

一维丝室气体探测器衍射像差的修正方法研究

一维位置灵敏单丝气体探测器采用单根镀金钨丝和200根阴极感应条的探测结构, X射线在阳极丝上产生的信号被多个阴极条感应, 利用重心法得到X射线的原初电离点的位置信息, 位置分辨率达到160 μm(半高全宽). 在同步辐射衍射实验中, X射线通过样品后会形成不同大小的衍射环, 本实验中测量得到11.148°和14.201°的两组衍射角位置信息; 通过平行移动一维探测器在衍射环范围内多次扫描, 可以重建得到二维衍射环. 由于一维探测器的气体厚度和入射窗宽度会给测量结果带来像差, 分析发现像差的影响大于一维探测器的位置分辨. 基于相应的物理分析对测量到的衍射位置进行修正, 修正后的衍射位置相比修正前的衍射位置的相对像差最大改善达到7%, 该方法实现了无像差二维衍射环的重建.     

透射式矩形相位光栅的衍射光谱分析

提出了一种计算透射式矩形相位光栅衍射场的简便方法,计算并分析了透射式矩形相位光栅的衍射光谱,给出了相位光栅的衍射光谱与光栅材料的折射率、光栅厚度和入射波长的关系,得到了把衍射光能量集中到1级光谱的条件;并在相位光栅的应用方面作了探讨.     

Diffraction grating eigenvector for translational and rotational motion

Future energy scaling of high-energy chirped-pulse amplification systems will benefit from the capability to coherently tile diffraction gratings into larger apertures. Design and operation of a novel, accurate alignment diagnostic for coherently tiled diffraction gratings is required for successful implementation of this technique. An invariant diffraction direction and phase for special moves of a diffraction grating is discussed, allowing simplification in the design of the coherently tiled grating diagnostic. An analytical proof of the existence of a unique diffraction grating eigenvector for translational and rotational motion that conserves the diffraction direction and diffracted wave phase is presented.     

一种近似矢量衍射模型在衍射微光学元件分析中的应用

标量衍射理论形式简洁，有很高实用性，但是在衍射微光学元件分析中显得模型粗糙，准确度下降。严格矢量衍射理论由于计算复杂，非常耗费时间和资源，因此也不是一种很有效的设计工具。 我们在本文中运用了一种简单的近似矢量衍射模型分析了几种典型衍射微光学元件衍射性能，此衍射模型采用了标量衍射理论和近似近场模型的结合。 TE和TM两种偏振模式均运用此近似矢量衍射模型进行了分析，我们发现此衍射模型可以得到比标量衍射理论更准确的结果，而与严格电磁场理论相比，它占用很少的计算时间。     

大角度斜入射情况下的猫眼效应激光反射特性

基于角谱衍射理论,采用2维离散傅里叶变换和将双衍射孔径进行投影合并的方法,推导了斜入射情况下猫眼效应反射光的衍射传输过程,通过数值计算分析了入射角和衍射距离对衍射光场分布的影响规律,并实验验证了入射角的影响规律。结果表明,这种方法能够准确描述大角度入射时的反射光衍射光场分布,入射角对其衍射光场分布模式的影响相当于增大了衍射距离。依据入射角与衍射光场分布模式之间的对应关系,可对猫眼目标进行参数识别研究。     

菲涅耳衍射和分数傅里叶变换

介绍了衍射孔的菲涅耳衍射和分数傅里叶变换的对应关系，使得可以用分数傅里叶变换来描述光电原始光场经过菲涅耳衍射区一直到无穷远处夫琅禾费衍射区的自由空间标量衍射传播全过程。     

Diffraction of spherical waves at an annular aperture in the use of the boundary diffraction wave theory: A comparison of different diffraction integral approaches

The integral expression for divergent spherical waves diffracted at an annular aperture is derived based on the theory of the boundary diffraction wave. The expressions for divergent spherical waves diffracted at a circular aperture and a disk, and the axial field are treated as the special cases of our general one. Numerical calculation results for axial and transversal intensity distributions are given to compare our results with the Kirchhoff diffraction integral, first and second Rayleigh diffraction integrals. As expected, our results are in agreement with those in the use of the Kirchhoff diffraction integral, but the computer time is reduced greatly by using the boundary diffraction wave theory. The four diffraction formulae are shown to be consistent for axial and transversal intensity distributions, if the source and observation points are positioned equally from the aperture, or the observation point is located enough far from the aperture. Otherwise, the mean value of the first and second Rayleigh diffraction integrals is equal to the result of the boundary diffraction wave theory.     

利用球面波夫琅禾费衍射放大衍射图样

基于球面波夫琅禾费衍射原理 ,通过理论推导得出衍射图样线度与障碍物 (被测物 )到像面的距离z成正比 ,而不是与物镜的焦距 f成正比 .因此仅通过移动障碍物 (改变z)即可使衍射图样线度得到放大 .本文以细丝的衍射实验为例进行了验证 ,实验结果表明该方法是可行的