基于经验模态分解的彩虹法测量研究

基于彩虹Airy理论分析了一阶彩虹强度分布的折射率和直径的灵敏度，并利用经验模态分解法对彩虹信号进行分解与重构，提出了一种有效分离彩虹强度中Airy信号和高频Ripple分量的方法。根据液滴的一阶彩虹分布，设计了液滴折射率和直径同步测量的彩虹?经验模态反演算法，该算法有很强的抗噪声特征。实验中测量了水滴和不同浓度乙醇液滴的一阶彩虹分布，研究结果表明，彩虹?经验模态法对液滴的折射率和直径测量精度分别为10?4和1%。     

无限长非均匀圆柱对平面波散射的彩虹特性研究

以梯度折射率聚合物光纤为例,利用非均匀柱粒子的洛伦茨-米氏(Lorenz-Mie)理论和德拜(Debye)级数研究了非均匀柱粒子的一阶、二阶彩虹强度分布特点.针对不同阶次彩虹间存在相干现象这一特点,提出了低通、带通滤波和逆快速傅里叶变换(IFFT)方法,将各阶彩虹从相互干涉的强度分布中分离重建出来,并且与Debye级数模拟的结果进行了比较,吻合得很好;讨论了分层柱粒子的双重一阶彩虹现象,利用Lorenz-Mie理论和Debye级数模拟了双重一阶彩虹的强度分布.     

多层球对高斯波束散射的德拜级数研究

基于广义洛伦兹-米氏理论,利用多层球粒子散射系数的德拜级数展开公式,提出了一种新的研究多层球粒子对高斯波束散射的方法。计算结果与已有的广义洛伦兹-米氏理论算法的计算结果吻合得很好。利用该方法有效分离了折射率分布满足指数变化规律的多层球粒子对高斯波束散射的远区散射场中多阶彩虹的干涉强度分布。数值模拟了双层球的归一化双一阶彩虹强度分布以及各层的一阶彩虹艾里结构。最后分析讨论了高斯波束的入射位置和束腰半径对多层球单阶彩虹强度分布的影响。     

基于一阶彩虹区域高斯光散射的液滴测量

为实现雾化过程中局域内单液滴的测量,采用德拜级数展开研究了高斯光照射下球形液滴一阶彩虹区域的散射光强分布,以及高斯光束腰大小对光强分布峰值角度的影响.根据德拜级数展开计算的散射光强分布反演液滴的折射率和粒径,证明了根据高斯光的彩虹散射反演液滴信息的可行性.基于广义洛伦兹-米氏理论计算一阶彩虹区域的总光强分布,根据总光强分布反演液滴折射率和粒径,讨论了高斯光束位置对反演液滴信息的影响.对于半径在200~1 000μm区间的液滴,高斯光束位于中心入射时,反演折射率的误差小于2.38×10-4,粒径的相对误差在-3.31%~3.31%之间.与采用平行光彩虹技术相比,采用高斯光束为入射光可以得到较高的光能聚集区,较好地定义测量区大小,既可以有效避免多个液滴同时出现在测量区的情况、减小颗粒之间复散射的影响,又可以提高信号强度.     

多层球粒子彩虹光强分布特性研究

基于多层球Debye级数分解理论,计算了不同参数下多层球粒子一阶彩虹的光强分布,分析了多层球粒子的参数-折射率指数因子对多层球粒子的一阶彩虹主峰角位置的影响;同时根据多层球Debye级数分解理论,将多层球粒子的各阶彩虹进行分离,对不同特性散射结构的光强分布进行了研究,分析了各阶干涉强度对散射场的贡献。     

在轴高斯波束入射无限长多层圆柱散射的德拜级数解

不均匀柱形粒子的光散射特性研究对复杂结构粒子参量的反演具有重要意义。基于德拜理论,对在轴高斯波束垂直入射无限长多层圆柱的散射特性进行了讨论。获得了散射系数的德拜级数展开式;并利用该公式分别计算了均匀和双层圆柱的总散射强度角分布,德拜级数单阶散射强度角分布;总散射强度结果与广义米氏理论(GLMT)进行了比较,两者吻合很好。分析表明圆柱散射强度不同散射角区间的值来自德拜级数不同阶的散射强度贡献;双层圆柱各层半径和折射率的值对德拜级数二阶散射强度角分布中峰值的出现起决定作用。当双层圆柱的外层较薄时,在120°~150°之间会出现两个明显峰值,即出现双重一阶彩虹峰值;反之,当外层厚度大于内层时,只有一个峰值存在。     

非球形大气粒子对任意波束的电磁散射特性

研究大气中变形球状的气象粒子对电磁波以及激光的散射特性,采用广义米氏(Mie)理论,精确地求解在任意波束中大气粒子的散射强度,数值计算激光束腰位置对散射强度分布的影响,分析彩虹强度和散射角与变形球状粒子偏心率的关系,研究随着长短轴比例增加,彩虹强度峰值的偏移。计算结果表明雨滴在下降过程中,它在各个方向的光散射强度逐步减弱,即随着雨滴偏心率的增大,散射强度减少,彩虹角变大。对于激光入射,当粒子距离波束中心位置越远,粒子的散射就越弱,并且随尺寸参量增加,后向散射振荡的频率要大于前向散射,当束腰位置矢径的大小增加时,后向散射和前向散射强度均变小。     

利用彩虹强度角谱分布对圆柱直径的测量

采用ＣＣＤ线阵的散射光强角分布测量系统,测量了水、酒精液柱、光纤的彩虹角分布。根据严格米氏理论,数值研究了大尺寸参数圆柱的彩虹现象,获得与实验相吻合的数值结果。讨论了几何光学和艾里理论局限性,将米氏理论和几何光学结合,对彩虹现象给予了更为合理的解释。利用第一级彩虹角反演折射率,以及将彩虹强度导数角分布进行快速傅里叶变换获得了角谱反演圆柱粒子的直径。并讨论了利用角谱反演粒子折射率和直径的精度。     

14.2MeV中子在锆上弹性散射的微分截面

用伴随粒子飞行时间方法,在10°—140°范围内测量了14.2MeV中子在Zr上的弹性散射微分截面.用蒙特卡洛方法对中子在样品中的通量衰减,多次散射及有限角分辨进行了修正;并将测量数据与光学模型理论计算及他人的结果作了比较.     

测量气溶胶单粒子折射率方法研究

设计了一种粒子计数器,它可以测量粒子的动力学粒径和两个散射角下的散射光强度,而粒子的散射强度可以根据Mie散射理论从光学等效粒径和粒子折射率出发计算出来。当可以近似认为动力学粒径与光学等效粒径相同时,利用上述测量结果可以反演计算单个粒子的折射率。     

On rainbows of inhomogeneous spherical droplets

The paper is devoted to the study of the intensity distributions and the angular spectra of the second and fifth rainbows of homogeneous and inhomogeneous spherical particles predicted by Lorenz-Mie theory. The results show that the distribution around the second rainbow angle for a homogeneous sphere of refractive index between 1.32 and 1.33 is due to the interference of the light after two or five internal reflections. The structure of the scattering diagram and the angular spectrum for homogeneous and radially inhomogeneous spheres are studied. For a homogeneous sphere we show that the second and fifth rainbows can be independently reconstructed by filtering the calculated spectrum. Since each order of rainbow penetrates the particle to different depths, such methods could be used to provide information about the refractive index profile or the temperature gradient of an inhomogeneous sphere. The Airy-like peaks of the second and fifth rainbows are closely connected with the refractive index profile, which is beneficial to the measurement of its refractive index profile or temperature gradient.     

Angle step selection for geometrical-optics approximation in light scattering

On the basis of the Shannon sampling theorem, we present a relationship between the maximal scattering angle step and the radius of particles in the calculation of light scattering intensity distribution. For the first rainbow intensity application, the relationship between the maximal scattering angle step and radius of particles is derived from that between the ripple frequency and radius and refractive index of particles using this method. For the geometrical-optics approximation, the incident angle is used to calculate the scattering intensity distribution. To get the highest speed, the maximal incident angle step is necessary. The relationship between the maximal step of incident angle and radius of particles is deduced from the maximal scattering angle step equation. As indicated by our result, the maximal step of the incident angle is not a constant and it varies with incident angle.     

Der Regenbogeneffekt und Interferenzerscheinungen bei molekularen Stößen

Crossed beam measurements of differential elastic scattering cross sections for collisions of alkali atoms with mercury and xenon atoms as well as with different molecules are presented. Special attention is given to the rainbow effect including supernumary rainbows and to interference effects connected with rainbow scattering. The observation of well resolved primary and supernumary rainbows together with interference patterns make the determination of a three parameter potential model possible. Partial wave numerical calculations of differential cross sections are used to evaluate potential parameters and to discuss the limits of the semiclassical rainbow theory. Elastic scattering between reactive collision partners is investigated too and interpreted in terms of a simple optical model.     

Classical scattering of Atoms by a model surface

A classical model of atom/surface scattering is presented in which the gas-surface interaction consists of a corrugated hard wall plus attractive square well. New analytic solutions for the scattering intensity for monoenergetic beams are given for both one- and two-dimensional surfaces. Explicit formulae for trapping probabilities and rainbow angles are obtained. An oven beam velocity distribution is incorporated into the model, and calculated results are presented both for in-plane and out-of-plane scattering. Comparisons are made with the Ne/LiF data of Smith, O'Keefe, and Palmer and with the classical calculations of McClure. Objections to the classical rainbow scattering interpretation are discussed.     

高功率激光传输过程中散射点对光束质量的影响

为了研究高功率激光传输过程中不透明颗粒引起的光束调制,通过分析这些不透明颗粒的形状和分布特点,建立了位置呈随机分布的高斯状散射点模型,从光束的衍射理论和干涉叠加理论出发,得到该模型下散射点对传输光束质量影响的解析式。数值分析了高斯状散射点的大小、密度、散射面积比及其传输距离对输出光束的近场分布、位相分布和光束透过率的影响,结果显示亚毫米量级散射点的衍射效应引起最大调制可达1．4,光学元件散射面积比小于0．003时才能满足元件透过率大于99．5％的需求。该结果可用于评价高功率激光装置光学元件的加工状况,并对光学元件加工要求和激光装置的洁净度要求有指导意义。     

Effect of double nuclear scattering on nuclear-magnetic interference in experiment with small-angle diffraction of polarized neutrons

An experiment on small-angle polarized-neutron diffraction by a two-dimensional spatially ordered array of nickel nanowires embedded in a porous anodic alumina matrix is discussed. The contributions of nonmagnetic (nuclear) structures and nuclear magnetic interference indicating the correlation between magnetic and nuclear structures are discussed. Magnetic scattering is two orders of magnitude smaller than nuclear scattering and, hence, turns out to be weakly distinguishable. The ordered magnetic composite nanostructure of a sample leads to strong interaction between the neutron wave and the structure itself, which, in turn, implies a twofold (miltiple scattering) nuclear scattering process. Nuclear magnetic interference scattering must be analyzed allowing for twofold scattering conditions, which substantially distorts the intensity distribution of the interference contribution of first-order diffraction peaks.     

Second-order orientation effects in light scattering by polarized atoms

A compact expression is derived for the part of the cross section for light scattering by axisymmetrically polarized atomic systems proportional to the third-rank state multipole. The effect of the second-order orientation determined by this state multipole on the polarization and angular distribution of the scattered light is studied. The polarization of the incident light can be arbitrary and is specified by the Stokes parameters. A number of orientation effects in the scattering process are shown to be induced precisely by the second-order orientation. In particular, when nonpolarized light is scattered by an oriented atom, the scattering intensity in the perpendicular direction depends on the second-order orientation alone. The second-order orientation also preserves circular dichroism in the linear polarization of the forward-and back-scattered light.     

Rainbow Interferometry with Wire Diffraction for Simultaneous Measurement of Droplet Temperature,Size and Velocity

A rainbow measurement technique is presented which measures simultaneously the size, temperature and velocity of individual droplets in a spray. The technique is based on rainbow interferometry in combination with diffraction by a wire placed in the spatial filter of the scattered-light detector. A photomultiplier detects the wire diffraction pattern superimposed on the rainbow interference pattern created by a droplet scattering laser light. The velocity is determined from the equivalent geometric wire shadow. The necessary sphericity validation is performed by comparing the Airy and the ripple droplet diameters, resulting from the respective interference structures. The temperature is recovered from the position of the wire diffraction pattern relative to the main rainbow maximum. The technique was applied to a water spray at ambient temperature. The results showed the importance of nonsphericity detection.