动态光散射技术的角度依赖性

与单角度动态光散射技术相比,多角度动态光散射(MDLS)颗粒测量技术能够提高颗粒粒度分布的测量准确性。但在MDLS技术中,测量角度的选择常常与被测颗粒体系的分布有关。对100nm、500nm的单峰模拟分布和300nm与600nm混合的双峰模拟分布的颗粒体系,分别在1、3、6、9个散射角条件下进行了测量。颗粒粒度反演结果表明,随着散射角个数的增大,颗粒粒度分布更趋于真实的颗粒粒度分布。对数量比为5:1的100nm与503nm双峰分布的聚苯乙烯颗粒,分别在1、3、5、10个散射角条件下进行了测量,实测结果表明采用单角度测量只能得到单峰分布,3个及更多散射角可得到双峰分布,并且双峰的数量比随散射角数量的增加逐渐趋近真实的数量比。因此,MDLS颗粒测量技术能够改善颗粒粒度分布的测量结果,但这种改善程度会随散射角的增多逐渐降低。由于散射角个数的增多会增加散射角的校准噪声和光强相关函数的测量噪声,因而会导致在有些情况下颗粒粒度分布的测量结果反而变差。     

烟尘簇团粒子光学截面和散射矩阵的数值计算

用离散偶极子近似方法，计算了单个烟尘簇团粒子的光学特性，得到了簇团粒子的散射截面、吸收截面及不对称因子随入射角的变化关系，为研究波在烟尘粒子中的传输特性提供了有效的计算方法；给出了不同入射角情况下烟尘簇团粒子散射矩阵元素的角分布，为研究散射体的散射特性、极化特性以及散射体结构特性提供了一种理论方法. 关键词： 烟尘簇团粒子 散射矩阵 光学截面 DDA     

Energy and charge distributions of fast hydrogen ions and atoms reflected from Cu in the case of grazing incidence

The energy and charge distributions of protons and hydrogen atoms reflected from the Cu surface in the case of grazing incidence angles are measured at energies of incident particles (H⁺ and H⁰) of 200 and 250 keV. The charged fractions of reflected particles are analyzed. A weak dependence of the neutral fraction of reflected particles on the scattering angle is discovered for incidence angles of 1°–2° and an energy of scattered particles of 60 keV or less. It is shown that the neutral fraction of reflected particles with an energy of 60–80 keV or more is independent of the scattering angle and is determined by the ratio of the cross sections for the electron capture and loss by ions in the material.     

椭球模型下通过雾场的多重光散射谱

由于雾滴的非球形、多重散射特性以及几何光学效应,光通过实际雾场的散射问题成为一个研究难点. 建立了近于实际的椭球雾滴模型,考虑光的衍射、透射及反射特性后,利用辐射传播方程得到了在不同的雾滴大小分布 及不同的雾滴形状分布下通过雾场的多重散射光强公式.在两种特例下与已有的结果较为相符,说明了方法的可靠性. 计算表明:与随机取向的非球形颗粒场的散射谱呈圆形特征不同,通过椭球形雾滴场的散射谱呈椭圆特征, 不同方位角的散射光强角分布有所差异,雾滴的形状因子越接近于1,差异越小;与单散射不同, 散射谱中的条纹随光学厚度增大逐步消失;对于不同大小分布及不同形状分布的雾滴场, 在不同方位角及不同观察角的散射光强随光学厚度τ的增加总是先增大再减小,光强的极大值位置在τ = 1.0---3.0 范围内.计算同时还表明,由于多数情况下实际雾场的雾滴大小偏差较大, 因而通过雾场的散射谱将呈现以中央亮斑为中心向四周弥散的图样.     

形体细胞的MCEM模型及其光散射分布特征

针对光散射细胞微粒测量中真实形体细胞的取向对测量结果的影响问题，基于Rayleigh-Debye-Gans理论和双椭球核式(CEM)模型在应用中的差异，建立了CEM的修正模型(MCEM)，根据此模型系统讨论了细胞在不同入射角变化情况下其光散射强度分布所产生的变化，得到了不同入射角下有核细胞光散射强度分布与有核细胞相关物理特征量的动态响应关系；此外，对有核细胞光散射强度分布进行拟合，得到了有核细胞光散射强度分布函数。误差分析表明：拟合结果可有效地应用于真实细胞光散射测量中的数值反演计算。     

Study of the sensitivity of size-averaged scattering matrix elements of nonspherical particles to changes in shape, porosity and refractive index

Studies of the physical parameters that influence the single scattering properties of a size distribution of small particles in random orientation are fundamental in understanding the origin of the observed dependence of the scattering matrix elements on the scattering angle. We present results of extensive calculations of the single scattering matrices of small nonspherical particles performed by a computational model based on the Discrete-Dipole Approximation. We have particularly studied the sensitivity of the size-averaged scattering properties at visible wavelengths of nonspherical, randomly oriented absorbing particles considering changes in shape, porosity and refractive index. These studies have importance regarding the inversion of physical properties of small particles as measured in the laboratory and the dust properties in various astrophysical and atmospherical environments. We have found that size distributions of randomly oriented irregular particles of different shape, including large aspect ratio particles, show similar scattering matrix elements as a function of the scattering angle, in contrast with the pattern found for regularly shaped particles of varying axis ratios, for which the scattering matrix elements as a function of the scattering angle show much larger differences among them. Regarding porosity, we have found a very different pattern in the scattering matrix elements for an ensemble of compact and porous particles. In particular, the linear polarization for incident unpolarized light produced by compact and absorbing particles of large size parameter tend to mimic the pattern found for large absorbing spheres. For porous particles, however, the linear polarization for incident unpolarized light tends to decrease as the size of the particle grows, with the maximum being displaced towards smaller and smaller scattering angles.     

Angularly resolved light scattering from aerosolized spores: observations and calculations

Angularly resolved elastic light scattering patterns from individual aerosolized Bacillus subtilis spores were qualitatively compared with simulations. Two-dimensional angular optical scattering patterns of the spores were collected for polar scattering angles varying from approximately 77 degrees to 130 degrees and azimuthal angles varying from 0 degrees to 360 degrees . Computations were performed with single T-matrix formalism by simulating a spore with three different particle shapes: (1) a finite-length cylinder with spherical end caps, (2) a spheroid, and (3) two spheres in contact. Excellent agreement between computation and measurement was found for the finite-length cylinder with spherical end caps, poorer agreement was found for the spheroids, and the poorest agreement was for the two spheres in contact.     

取向比对椭球气溶胶粒子散射特性的影响

利用T矩阵和离散坐标法研究了取向比对椭球粒子散射特性的影响, 计算了小尺度范围内椭球粒子的散射特征参量, 包括消光效率因子、不对称因子、单次散射反照率、散射相矩阵及双向反射函数(BRDF). 结果表明, 椭球粒子的散射特性与取向比密切相关, 粒子取向比会影响散射参量的振荡频率和振幅, 与球形粒子散射参量的相对差异也呈周期振荡趋势. 研究还发现, 某些特殊粒子尺寸的散射参量与粒子取向比基本无关. 在多次散射条件下, 分析不同取向比粒子群的BRDF随反射角和光学厚度的变化特性. 结果显示: 不同取向比粒子群的BRDF随反射角的变化趋势基本一致, 球形粒子群比非球形粒子群的BRDF曲线波动振幅更大; 球形-非球形粒子的BRDF相对差异随光学厚度和取向比的增大而减小, 随入射角的增大而增大.     

Spectral Dependence of Quasi-Rayleigh Polarization Leap of Nonspherical Particles: Polystyrene Beads Application

Solid particles in Earth’s atmosphere, such as polystyrene beads, are an important factor affecting the processes of absorption and scattering of light in the atmosphere. These processes affect on the solar energy transfer in the Earth’s atmosphere, consequently they have influence on the regional and global climate changes and atmospheric visibility. In particular, great interest to study the scattering properties of small particles compared with wavelength, because of such particles experience low gravitational settlement and may have long time of life in the atmosphere. When scattering particle is much smaller than the wavelength of the scattered or absorbed light, this is the case of Rayleigh scattering. Scattering properties of these particles (such as intensity and the degree of linear polarization) at the Rayleigh scattering are simply derived from electromagnetic Maxwell’s equations. But when the particles are large enough to be comparable with the wavelength, the deviations from Rayleigh scattering law are observed. One of the clear manifestations of such deviations is the recently discovered quasi-Rayleigh polarization leap of monodisperse spherical particles. This quasi-Rayleigh polarization leap allows remote sensing of the sizes of distant particles, based on the spectral position of quasi-Rayleigh polarization leap at different phase angles of observation. In this paper, we studied the effect of the non-sphericity of a scattering polystyrene particle on the magnitude and position of the quasi-Rayleigh polarization leap. It is established that the non-sphericity shifts the position of the quasi-Rayleigh polarization leap shorter wavelengths. It is shown that for non-sphericity of particles makes the quasi-Rayleigh polarization leap becomes less pronounced. Moreover, it was found, that increasing of the phase angle and degree of non-sphericity shift the quasi-Rayleigh polarization leap position to shorter wavelength. However, in the case of not very elongated particles, the quasi-Rayleigh polarization leap is quite well manifested. Therefore, this method is suitable for remote sensing not only the size, but also the degree of non-sphericity of the scattering particles. A simple formula has been obtained for polystyrene beads that relates the degree of non-sphericity of a particle with the wavelength and phase angles at which the quasi-Rayleigh polarization leap is observed.     

飞尘气溶胶粒子散射特性分析:对比实验和米散射方法

采用Mie散射理论计算了可见光波段等效球飞尘气溶胶粒子的Stokes散射矩阵,并与实验得到的空间随机取向的非球形飞尘气溶胶粒子结果进行了对比分析;由理论与实验方法得到的散射相函数,采用离散坐标法计算了两者的双向反射函数(BRDF),并对此结果进行了分析研究。结果表明:实验测量的非球形飞尘气溶胶粒子群的散射矩阵和基于球形粒子假设的Mie散射理论计算结果在大多数散射角上都不相同,但是不对称因子却大致相同;球形-非球形粒子群的BRDF随反射角的变化趋势基本一致,但是球形粒子群的BRDF曲线分布具有更大的波动趋势;随着光学厚度的增加,球形-非球形粒子群的BRDF曲线分布均趋于平坦,计算结果趋于一致。因此在飞尘气溶胶粒子散射特性研究中,当光学厚度较小时,用球形假设的方法会造成一定的误差,BRDF相对误差最大可以达到60%,需考虑粒子非球形特性造成的影响;而当光学厚度较大时,BRDF相对误差一般不会超过10%,采用球形假设的方法具有一定的适用性。     

复杂成分内混合体光散射等效性分析的判据选取

使用离散偶极子近似算法DDSCAT7.1与米散射理论算法MIEV0研究复杂成分混合体等效性时, 由于两者为不同的原理和实现算法, 考察DDSCAT7.1和MIEV0所计算出的相同光学量的相对偏差将非常必要。通过比较两种算法所计算出的球形散射型粒子海盐和吸收型粒子含碳气溶胶的光学量的相对偏差, 结果表明: 两种算法所计算的非散射角函数光学量的相对偏差较小; 在瑞利散射区, 散射相矩阵分量M1和S21的相对偏差较小, 而M2和D21只在一定的散射角范围内相对偏差较小; 在米散射区, M1、M2、S21在有限的散射角范围内相对偏差较小, 而D21的相对偏差则普遍较大。在光散射等效性判据选取时, 非散射角函数光学量适合用来研究内混合体的等效性, 而散射相函数则不太适合用来研究内混合体等效性, 除非综合考虑粒子尺度参数以及选择合适的散射角等因素。在光散射技术中对粒子谱分布和折射率相当敏感的D21, 比较难以用在以两种方法为基础的内混合体等效性研究中。     

动态光散射研究纳米级PBA/PMMA核壳颗粒的散射特性

运用动态光散射仪研究PBA(聚丙烯酸丁脂)为核,PMMA(聚甲基丙烯酸甲脂)为壳的核壳双层结构颗粒的角度散射光,并通过测量得到的粒径分布进行理论计算,结果表明:测量结果与理论计算结果总体趋势一致,但在前向散射和后向散射两者相差较大,主要由于动态光散射仪测量粒径分布时反演算法剔除占比例很小的大颗粒造成的.     

基片与不同方位多形态缺陷粒子的复合光散射特性分析

结合光学表面无损检测工艺实际情况,给出基片与镶嵌及掩埋的球体/回转椭球体缺陷粒子的散射特性分析。针对基片与缺陷粒子的半空间问题,结合时域有限差分方法使用广义完全匹配吸收层(GPML),结合三波技术引入激励源,给出了相应的连接边界条件,并将互易性定理应用到近远场外推中,使过程简化。数值计算给出了镶嵌及掩埋的球体/回转椭球体缺陷粒子的散射场的角分布。结果显示:镶嵌比掩埋的缺陷粒子受粒子尺寸的影响更明显。在大散射角下,缺陷粒子的位置因素带来的贡献较大。粒子分别掩埋或镶嵌于基片时,在-10°、30°、70°附近的球体粒子和回转椭球体粒子的微分散射截面(DSCS)差别较大。在基片无损检测工程中可以通过对特定角度散射场的测量定标诊断出缺陷的方位和形态。     

利用近前向散射图样识别单粒子形状的理论研究

近前向光学散射图样可以用来表征颗粒物的形状.基于球形芽孢杆菌、枯草芽孢杆菌、类鼻疽伯克氏菌的回转长椭球模型, 采用离散偶极子近似方法, 通过模拟3个不同方位探测器接收的散射光强响应信号, 讨论了非球形生物气溶胶颗粒的形状对前向角分辨光强的影响.结合球形指数反演算法, 在一定取向条件下, 前向5°–20° 内角分辨散射光强具有识别长形颗粒物和非长形颗粒物的能力.该研究可以为颗粒物形态测量仪器设计以及快速检测有害生物气溶胶提供依据.     

Geometrical optics approximation for light scattering by absorbing spherical particles

By means of geometrical optics, an approximation method is presented to compute the light scattering intensity of absorbing spherical particles illuminated by a plane wave. For absorbing particles, the effective refractive index and the effective refractive angle are related to the complex refractive index and incident angle. The formulas for calculation of the break of phases of reflection and refraction, which are different from the case of transparent particles, are exactly derived. Verification of the geometrical optics approximation (GOA) was performed by case studies and comparison of the present results with the Mie scattering. It is found that agreement between the GOA and the Mie theory is excellent in forward directions for weakly/moderately absorbing particles. Differently, for strongly absorbing particles, good agreement between the calculation methods is in the forward directions and large scattering angles. The agreement between the GOA and the Mie theory is better for larger particles.     

Optimization of measurement angles for soot aggregate sizing by elastic light scattering,through design-of-experiment theory

In multiangle elastic light scattering (MAELS) experiments, the morphology of aerosolized particles is inferred by shining collimated radiation through the aerosol and then measuring the scattered light intensity over a set of angles. In the case of soot-laden-aerosols MAELS can, in principle, be used to recover the size distribution of soot aggregates, although this involves solving an ill-posed inverse problem. This paper presents a design-of-experiment methodology for identifying the set of angles that maximizes the information content of the angular scattering measurements, thereby minimizing the ill-posedness of the underlying inverse problem. While the optimized angles highlight the physical significance of the scattering regimes, they do not improve the accuracy of size distributions reconstructed from simulated experimental data.     

Influence of surface roughness on the elastic-light scattering patterns of micron-sized aerosol particles

The relation between the surface roughness of aerosol particles and the appearance of island-like features in their angle-resolved elastic-light scattering patterns is investigated both experimentally and with numerical simulation. Elastic scattering patterns of polystyrene spheres, Bacillus subtilis spores and cells, and NaCl crystals are measured and statistical properties of the island-like intensity features in their patterns are presented. The island-like features for each class of particle are found to be similar; however, principal-component analysis applied to extracted features is able to differentiate between some of the particle classes. Numerically calculated scattering patterns of Chebyshev particles and aggregates of spheres are analyzed and show qualitative agreement with experimental results.     

Influence of corrugation on light-scattering properties of capsule and finite-cylinder particles: Analytic solution using Sh-matrices

We use the Sh-matrices to derive an analytic T-matrix solution for the light scattering from capsule and finite-cylinder particles with corrugated surfaces. The solution is tested by comparison with discrete-dipole-approximation (DDA) calculations. We present results from finite circular cylinders and capsules whose diameter/length ratio is 1/2. Such particles have interest as simulants of aerosolized spores. We analyze and compare their two-dimensional scattering patterns. The effect of corrugated surfaces of relatively small amplitude is quite significant on the resulting scattering patterns.     

Dependence on the scattering angle of the electron temperature and electron density in thomson-scattering measurements on an atmospheric-pressure plasma jet

Electron temperature and electron density measurements were made in an atmospheric-pressure argon plasma jet by line-shape analysis of Thomson-scattered laser light. The dependence of electron temperature and electron density on the scattering angle was investigated. Measurements were made using incident laser wavelengths of 532 and 355 nm. At 532 nm, the electron-ion collision frequency exceeds the Landau damping rate for shallow scattering angles, and the electron plasma wave resonance structure in the Thomson line shape is broadened. This resulted in dramatic increase in the apparent electron temperature as a function of decreasing scattering angle. At 355 nm, collisions do not affect the Thomson line shape. In this case, an angular dependence of the measured electron temperature is not expected and was not observed. Data taken at 532 nm at larger scattering angles are consistent with the 355-nm results, and show that the electrons are not in thermodynamic equilibrium with the heavy particles.     

Development of a Mathematical Model for Light Scattering by statistically irregular particles

A mathematical model is described to predict Fraunhofer diffraction by statistically irregular particles. It is demonstrated that the particles are characterised by a probability distribution of radius and a correlation function in the surface. The results of calculation show that at angles not too far from the forward scattering direction and for irregularity heights within a limited range, the irregular particles may be represented approximately by spheres with a size distribution equal to the probability distribution of radius. However, the calculations are highly sensitive to the exact nature of the probability functions. Comparisons of the results with those of a simpler model are not satisfactory beyond the first forward scattering lobe.