Mie理论在静态光散射粒度测量的应用下限研究

测量下限是光散射颗粒测试技术的关键问题。本文通过理论分析、比较归一化散射光强的分布图和构造方差函数F(d)对颗粒散射光的光强分布进行了定性和定量的讨论,对Mie散射向Rayleigh散射趋近的情况进行了分析,讨论了散射光光强大小的分布,分析了测量不同粒径的颗粒的可行性,最终得到在入射光源是波长为0.6328μm的He-Ne激光器的情况下,当粒径d取200nm以上时,不同粒径颗粒的M ie散射光强分布有较大差别,适合用静态光散射的方法来判断颗粒粒径。     

激光损伤的光散射法判别研究

在激光损伤测量系统中,利用光散射法判别激光薄膜损伤,需要寻求光源和探测器之间的最佳位置。为此,在不同损伤激光脉冲能量、不同测量入射角度(0°,30°,45°,60°)和不同探测器距离(200,250 mm)条件下,研究了损伤点散射光能量的角分布。获得结果如下:在相同的探测角度上,散射光能量随着损伤面积和测试光入射角度增加而增加。在探测角度小于反射角度时,随着探测角度增加散射光能量逐渐变强;当探测角度大于反射角度后,随着散射角度增加散射光能量逐渐变弱。散射光相对能量在反射光方向附近出现极大值;在60°入射时,散射光相对能量具有最大值;探测距离在200 mm时,最大散射光相对能量大于探测距离在250 mm时。根据以上结论,可以确定在利用光散射判别损伤的测量系统中,探测器应放置在反射光方向的两侧,并且尽量增加测试光入射角度和缩小探测器与样片间距离。     

Rise-2008型激光粒度仪／粒度分析仪

Rism2008型激光粒度分析仪采用全量程米氏散射理论,充分考虑到被测颗粒和分散介质的折射率等光学性质,根据大小不同的颗粒在各角度上散射光强的变化反演出颗粒群的粒度分布数据。     

前向大角度法测量亚微米级颗粒

采用Mie散射理论,分析了亚微米级颗粒散射光角度分布特征,研究了粒径、折射率等参数对散射光分布特点的影响.研究发现,将散射光强度的角度分布进行归一化后,前向30°部分范围内的分布特性近似为线性,且呈现斜率与颗粒粒径相关,而与折射率无关的特点.在此基础上,本文中提出一种新的测量方法--前向大角度法,即通过测量散射光在前向30°范围内的光强线性变化的斜率来直接得到亚微米级颗粒的平均粒径.文中讨论了该方法的适用范围、近似表达式、误差分析等.     

Rise-2008型激光粒度仪／粒度分析仪

工作原理： Rise-2008型激光粒度分析仪采用全量程米氏散射理论，充分考虑到被测颗粒和分散介质的折射率等光学性质，根据大小不同的颗粒在各角度上散射光强的变化反演出颗粒群的粒度分布数据。     

Rise-2008型激光粒度仪／粒度分析仪

工作原理：Rise-2008型激光粒度分析仪采用全量程米氏散射理论，充分考虑到被测颗粒和分散介质的折射率等光学性质，根据大小不同的颗粒在各角度上散射光强的变化反演出颗粒群的粒度分布数据。     

火灾烟雾颗粒的光学散射特性研究

从理论和实验两个方面研究了几种常见的燃烧烟雾在不同波长激光下的散射特性。从Mie散射理论出发，比较几种Mie散射算法的优缺点，采用一种改进的连分式算法对火灾烟雾颗粒的散射光强分布进行计算，得出不同粒径大小和波长下光强分布图。结合理论计算，设计一套实验装置，测量并计算在不同角度下3种烟雾颗粒和面粉气溶胶散射光的相对光强比，实验测量值与理论计算值吻合较好。研究结果表明不同种类烟雾散射光相对光强比互不相同，火灾烟雾与非烟雾气溶胶差距较大，从而表明散射光相对光强比是区分不同烟雾特定的物性参数，为火灾烟雾探测技术发     

超细颗粒物近场散射光场分布特性研究

为研究超细颗粒物近场散射光强分布的特性,应用了时域有限差分方法系统对不同尺寸微小颗粒的近场散射光强进行分析。对于单颗粒的散射光场,颗粒越小,散射光主要表现为各向同性,随着颗粒增大,前向散射光将占主要部分,这与传统的Mie散射理论相一致。对于紧靠的两个颗粒,由于多重散射的作用,散射光场表现出更多的复杂性,两个颗粒的排列方式不同也会对结果有较大影响。这些结果为进一步分析复杂颗粒系统的光散射特性提供了基础。     

基于Mie散射理论的微球体颗粒数值模拟计算和实验研究

应用Mie散射理论,在散射角0～π范围内,模拟微球体颗粒的散射光强度与粒径大小的变化关系,分析了相对折射率的大小对散射光强度的影响;在实验装置条件下,分别模拟了散射光强度与粒径大小的变化关系及2um、5um、10um三种粒子的散射光强度与波长的变化关系。实验验证了数值模拟与实验结果基本一致,也证明实验中粒子散射遵从Mie散射理论模型。     

电控喷油器喷油雾化特性测量装置的研究

研制了一种可对电控喷油器喷雾颗粒作精确测试的光电测量装置。基于光的衍射散射理论，对激光经颗粒漫反射后产生的空间能量分布进行检测，并对所得数据加以转换和处理，从而得到被测颗粒的尺寸分布、平均直径和颗粒浓度等；同时，采用图像处理技术对喷雾雾化角进行测试，在测量中，由摄像头拍摄出激光束穿越油雾后形成的形状，采用快速傅里叶变换将图片处理成数字图片，从而计算出雾化角。     

Colors of transparent submicron suspensions on approaching the Rayleigh regime

The features of scattered and transmitted light by dilute suspensions of transparent submicron particles are investigated both in the spectral and in the perceived colorimetric domains, as a function of effective particle diameter D, particle-host refractive-index mismatch m, and scattering angle θ. Our results show that the wavelength λ-dependence of the scattering and extinction cross sections remains quite similar well beyond the Rayleigh regime up to particle sizes of a few hundreds nm, but only for specific scattering angles that depend on D and m, and tend to 90° on approaching the Rayleigh regime. Close to this limit (D/λ<1), a simple criterion that relates the perceived scattering color at θ=90° and the ratio of the sample extinction coefficients at two properly selected wavelengths is demonstrated. A comparison between computed and measured data is presented.     

多角度动态光散射法的纳米颗粒精确测量

基于动态光散射原理,采用自主研发的多角度动态光散射装置,对纳米及亚微米颗粒粒径准确测量方法进行了探究。自研装置采用带有光阑组的精密入射光路设计,以及匹配液池及Beam-stop设计,极大提高了信噪比;同时避免了测量角度的互补方向上,由于样品池与空气界面折射率不同导致的反射光信号对有效信号的干扰。在此基础上,对不同浓度、粒径的聚苯乙烯(PS)颗粒溶液进行了测定及不确定度分析。结果表明,对同一粒径的PS颗粒,增加颗粒浓度时,多重散射首先发生于大、小测量角度,越接近90°,发生多重散射的浓度越高;随着粒径增大,受不可忽略的颗粒间相互作用的影响,粒径测量结果表现出了强烈的角度依赖性,甚至波动性。     

Measurement of 100 nm and 60 nm Particle Standards by Differential Mobility Analysis

The peak particle size and expanded uncertainties (95 % confidence interval) for two new particle calibration standards are measured as 101.8 nm ± 1.1 nm and 60.39 nm ± 0.63 nm. The particle samples are polystyrene spheres suspended in filtered, deionized water at a mass fraction of about 0.5 %. The size distribution measurements of aerosolized particles are made using a differential mobility analyzer (DMA) system calibrated using SRM^® 1963 (100.7 nm polystyrene spheres). An electrospray aerosol generator was used for generating the 60 nm aerosol to almost eliminate the generation of multiply charged dimers and trimers and to minimize the effect of non-volatile contaminants increasing the particle size. The testing for the homogeneity of the samples and for the presence of multimers using dynamic light scattering is described. The use of the transfer function integral in the calibration of the DMA is shown to reduce the uncertainty in the measurement of the peak particle size compared to the approach based on the peak in the concentration vs. voltage distribution. A modified aerosol/sheath inlet, recirculating sheath flow, a high ratio of sheath flow to the aerosol flow, and accurate pressure, temperature, and voltage measurements have increased the resolution and accuracy of the measurements. A significant consideration in the uncertainty analysis was the correlation between the slip correction of the calibration particle and the measured particle. Including the correlation reduced the expanded uncertainty from approximately 1.8 % of the particle size to about 1.0 %. The effect of non-volatile contaminants in the polystyrene suspensions on the peak particle size and the uncertainty in the size is determined. The full size distributions for both the 60 nm and 100 nm spheres are tabulated and selected mean sizes including the number mean diameter and the dynamic light scattering mean diameter are computed. The use of these particles for calibrating DMAs and for making deposition standards to be used with surface scanning inspection systems is discussed.     

Size and distribution: a comparison of XRD, SAXS and SANS study of II-VI semiconductor nanocrystals

The uniqueness of size dependent functional properties of II-VI semiconductor nanocrystals have led to the development of various techniques for determination of shape, size and distributions, although the accurate measurements of the particle sizes has always been a fundamental task in nanoscience and even become more crucial with the discovery of quantum confinement effect. A comparison of the well established techniques X-ray diffraction (XRD), small angle X-ray scattering (SAXS) and small angle neutron scattering (SANS) with an emphasis on size and distribution of the prepared samples are reported in order to elaborate more precise techniques for the analysis of particles sizes. Modified Scherrer formula for spherical particles has been used to calculate the particle sizes from XRD spectra. Analysis of SAXS data has been reported using Guinier model. Small angle neutron scattering measurements has been performed for ZnO nanocrystals and the scattering data obtained is simulated for polydisperse sphere. The bare ZnO, ZnS and CdS and doped with Mn2+ systems are taken within the framework of our discussion. These materials were synthesized by chemical precipitation route and found to have size distribution from 2 to 6 nm for spherical particles. Sizes determined from various techniques are in good agreement with each other however small angle scattering technique is more reliable than XRD to determine the sizes of the nanoparticles.     

基于FPGA的多通道动态光散射自相关器的研制

为提高多角度动态光散射(MDLS)实验的测试效率与测量精度,开发了一种基于现场可编程门阵列(FPGA)的多通道动态光散射自相关器。该自相关器利用FPGA同时采集4个散射角度的光子脉冲信号,实现高频脉冲计数和自相关计算;设计双计数器模块保证高频无丢失计数,结合片内环形寄存区与片外DDR3芯片实现动态存储数据;提出multi-tau相关器结构设计自相关器的相关计算模块,通过USB通信模块传输自相关计算结果。该自相关器利用有限的FPGA内部硬件资源,实现了多通道自相关运算,解决了大量计数数据的存储问题,提高了MDLS实验的测试效率。利用自相关器对50～200 nm的聚苯乙烯颗粒进行MDLS实验,实验结果与样品的标称粒径表现出良好的一致性,表明该设计能有效地表征颗粒粒径信息。     

High-precision sizing of nanoparticles by laser transmission spectroscopy

We describe the implementation of precision laser transmission spectroscopy for sizing and counting nanoparticles in suspension. Our apparatus incorporates a tunable laser and balanced optical system that measures light transmission over a wide (210-2300 nm) wavelength range with high precision and sensitivity. Spectral inversion is employed to determine both the particle size distribution and absolute particle density. In this paper we discuss results for particles with sizes (diameters) in the range from 5 to 3000 nm. For polystyrene particles 404 to 1025 nm in size, uncertainties of ±0.5% in size and ±4% in density were obtained. For polystyrene particles from 46 to 3000 nm in size, the dynamic range of the system spans densities from ~10(3)/ml to ~10(10)/ml (5 × 10(-8) to 0.5 vol. %), implying a sensitivity 5 orders of magnitude higher than dynamic light scattering.     

水中微气泡光散射偏振特性的研究

在Mie散射理论的基础上，建立气泡光散射模型，计算水中微小气泡与固体微粒在不同的粒径参数和散射角条件下的光散射偏振特性，并对两者进行比较．结果表明，水中气泡及微粒对入射光散射后偏振状态的改变十分复杂．总体上气泡的退偏振效应比固体微粒强25％，微小气泡与固体微粒对偏振状态的影响在粒径域和散射角上具有选择性．     

Geometrical-optics approximation of forward scattering by gradient-index spheres

By means of geometrical optics we present an approximation method for acceleration of the computation of the scattering intensity distribution within a forward angular range (0-60 degrees ) for gradient-index spheres illuminated by a plane wave. The incident angle of reflected light is determined by the scattering angle, thus improving the approximation accuracy. The scattering angle and the optical path length are numerically integrated by a general-purpose integrator. With some special index models, the scattering angle and the optical path length can be expressed by a unique function and the calculation is faster. This method is proved effective for transparent particles with size parameters greater than 50. It fails to give good approximation results at scattering angles whose refractive rays are in the backward direction. For different index models, the geometrical-optics approximation is effective only for forward angles, typically those less than 60 degrees or when the refractive-index difference of a particle is less than a certain value.     

Comparison of near-forward light scattering on oceanic turbulence and particles

We examine and compare near-forward light scattering that is caused by turbulence and typical particulate assemblages in the ocean. The near-forward scattering by particles was calculated using Mie theory for homogeneous spheres and particle size distributions representative of natural assemblages in the ocean. Direct numerical simulations of a passive scalar with Prandtl number 7 mixed by homogeneous turbulence were used to represent temperature fluctuations and resulting inhomogeneities in the refractive index of water. Light scattering on the simulated turbulent flow was calculated using the geometrical-optics approximation. We found that the smallest temperature scales contribute the most to scattering, and that scattering on turbulence typically dominates over scattering on particles for small angles as large as 0.1 degrees . The scattering angle deviation that is due to turbulence for a light beam propagating over a 0.25-m path length in the oceanic water can be as large as 0.1 degrees . In addition, we carried out a preliminary laboratory experiment that illustrates the differences in the near-forward scattering on refractive-index inhomogeneities and particles.