Stability in Debye series calculation for light scattering by absorbing particles and bubbles

The Debye-series decomposition is of importance for understanding of light scattering features and for the validity of the geometrical optics approximation to light scattering. The numerical stability and accuracy for calculating light scattering with Debye series is studied and an improved algorithm is proposed in this work. The ratios of the Riccati-Bessel functions and the logarithmic derivatives of the Riccati-Bessel functions are employed and calculated with proper recurrences. Exemplifying results are provided to show the improvement of the algorithm.     

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。     

Two-particle characterization by pulse induced and time resolved Mie scattering

With this numerical investigation we demonstrate the determining of particle size and particle distance for a two-particle system by time resolved Mie scattering. The optical interaction of the fs-laser pulse with the particle configuration produces a sequence of scattered light signals on the femtosecond time scale. The temporal differences between these signals represent typical dimensions of the particle system. The different ray tracks of the specific scattering orders, which are the reason of the temporal behaviour, have been verified by models of geometric optics. We have simulated the Mie scattered light by an algorithm for multi-particle scattering. For all examples the detector was positioned in the back scattering region at a scattering angle of θ=150°.     

大气泡散射的几何物理模型数值计算

米氏模型和德拜级数展开模型在气泡尺寸达到μm量级时不能很好地解释海水中大尺寸空泡的后向散射现象，计算速度较慢且容易溢出。提出使用几何物理光学模型解释大尺寸空泡的后向散射现象，给出了一种基于几何物理光学模型的球形大气泡散射特性的数值计算方法，并与德拜级数展开式进行了比较，计算结果基本吻合。该方法在计算大尺寸空泡的后向散射时不受微粒尺寸参数和折射率的限制，且避免了复杂的级数形式，与基于米散射理论或德拜级数展开的算法相比，具有更快的运算速度。最后给出了一些计算实例。     

Mie scattering calculation by FDTD employing a modified Debye model for Gold material

The parameters calculation for the modified Debye model in the electromagnetic finite difference time domain (FDTD) method is discussed. Validation for the selected parameters is done comparing the FDTD results with the Mie analytical solutions of a gold nanometer sphere under an optical plane wave incidence. Good agreement with an average relative error 6.7% has been demonstrated as to total electrical field amplitudes on the surface of the gold sphere. It indicates FDTD could be adopted in the optical region for a material even with a negative real relative permittivity particularly as metals.     

A bubble detection technique based on light intensity and Mie scattering theory for spinning solution

A novel bubble detection technique based on light intensity and Mie scattering theory for spinning solution is presented theoretically and experimentally. With the light intensity in every direction, the particle or bubble size distribution can be calculated with the Mie scattering theory. The light intensity distribution in every direction, corresponding to the light intensity received by every assumed annulus of the detector has been calculated theoretically. According to the light intensity distribution, the size distribution of bubbles can be deduced. A series of standardized polystyrene micro-sphere (with 7 μm diameter) solution has been used not only as sample for experiments and calibration, but also as the bubbles in the glycerin. Theoretical and experimental results show that the technique can be used for bubble detection, in order to improve the traditional bubble detection scheme, and to lower production costs.     

Relation between Debye series and generalized Lorentz--Mie theory of laser beam scattering by multilayer cylinder

With the recursive relations of Bessel function and applying inductive approach, the consistency between the scattering coefficient formula of Debye series and that of the generalized Lorentz-Mie theory (GLMT) in the scattering of a multilayer cylinder illuminated by a laser beam is proved in detail. As an application example, rainbow phenomenon in the scattering of a two-layer cylinder is discussed by the Debye series components. It can be concluded that the radius and the refractive index of a two-layer cylinder have an effect on the twin-primary rainbow, and the high-order Debye series components which are associated with the high-order rainbows are more complex than those of a homogeneous cylinder.     

超短激光照射下颗粒的散射效应

对两个纳米颗粒受超短激光照射时表面吸收光强的分布情况进行了研究。基于米散射理论和蒙特卡罗方法建立程序来模拟和追踪光子的运动轨迹,米散射理论主要用于确定光子的散射方向,运用兰贝特定律和解析解对模拟结果进行验证。通过对比材料为金和黑体时双颗粒的光强分布发现,颗粒的散射和激光照射宽度的增加会使颗粒相邻处的光强增大,颗粒底部的光强主要取决于颗粒的反照率大小以及散射光强的分布情况。     

均匀球扭矩德拜级数分析

基于会聚光束所产生的扭矩来实现对小粒子的操纵已在物理学、生物学等领域得到了广泛的应用。为了分离出单个散射过程对扭矩的贡献,给出扭矩物理机理的解释,本文引入德拜级数分析了高斯波束对均匀球粒子所产生的扭矩。计算表明,当德拜项P从1取到一个足够大的值后,德拜级数计算结果与广义米氏理论结果吻合。文中重点分析了单阶P散射过程对横向扭矩的贡献,结果表明：当线极化光束入射时,P=1～5散射过程都可以产生横向扭矩,但扭矩的方向不同;当圆极化光束入射时,P=一1和0对应的扭矩远大于P=1～4对应的扭矩,且P=0过程产生与其他P过程相反方向的扭矩。     

均匀球扭矩德拜级数分析(英文)

基于会聚光束所产生的扭矩来实现对小粒子的操纵已在物理学、生物学等领域得到了广泛的应用。为了分离出单个散射过程对扭矩的贡献,给出扭矩物理机理的解释,本文引入德拜级数分析了高斯波束对均匀球粒子所产生的扭矩。计算表明,当德拜项p从1取到一个足够大的值后,德拜级数计算结果与广义米氏理论结果吻合。文中重点分析了单阶p散射过程对横向扭矩的贡献,结果表明:当线极化光束入射时,p=1～5散射过程都可以产生横向扭矩,但扭矩的方向不同;当圆极化光束入射时,p=-1和0对应的扭矩远大于p=1～4对应的扭矩,且p=0过程产生与其他p过程相反方向的扭矩。     

Monte Carlo simulation of the interaction between an ultra-short pulse and a strongly scattering medium: The case of large particles

Simulations of the transmission of a short light pulse (50 fs) through a strongly scattering medium constituted by water droplets (50-150 μm diameter) are presented. Temporal emerging signals are computed using a Monte Carlo technique. In case of large particles with respect to the pulse duration, the time delay related to the interaction between light and individual particles has to be taken into account, in addition to the time delay related to the travel of light between particles. After careful comparisons with temporal Lorenz-Mie theory, it has been chosen to pre-calculate scattering characteristics of individual droplets using Debye series. Transmitted signals in forward direction and in a small temporal window (0-400 fs) are presented, showing that temporal information on particle size are still observable facing strongly scattering media.     

Simultaneous determination of particle size and refractive index by time-resolved Mie scattering

With this numerical study we have investigated the pulse-induced and time-resolved Mie scattering with the aim of determining the size and the refractive index of transparent spherical particles simultaneously. The temporal interval between the scattering light signals of two different orders of scattered light allows only particle sizing. But if it is possible to detect three different orders of scattered light, then we have two independent time intervals. This situation is given if the detector has a position about θ=90°. With these scattering angle signals of reflection and refraction of 1st and 3rd order appear with approximately the same intensity. Then the numerical quotient of the two temporal intervals between these scattering orders is a function of the refractive index only. We have calculated these specific quotients by models of geometric optics for 1.1≤m≤1.6 and 75°≤θ≤90° and have seen that there is a very high agreement with the results of time-resolved Mie calculations.     

Light Scattering by Human Blood Plasma

Transmission of laser radiation in human blood plasma diluted with physiological solution is studied. Comparison with scattering in pure physiological solution is made. General and individual optical characteristics of blood plasma from different patients are established.     

Generalized Lorenz-Mie theory and applications

The basic formulas of generalized Lorenz-Mie theory are presented, and are applied to scattering of a focused Gaussian laser beam by a spherical particle. Various applications of focused beam scattering are also described, such as optimizing the rate at which morphology-dependent resonances are excited, laser trapping, particle manipulation, and the analysis of optical particle sizing instruments. Each of these applications requires either special positioning the beam with respect to the particle or illumination of only part of the particle by the beam.     

群体粒子散射光偏振特性的研究

在Mie散射理论的基础上分析了群体粒子散射的偏振特性,并用两种不同直径(0.26 μm,0.55 μm)的球形粒子作为散射介质进行了相关实验,比较了群体粒子散射光垂直与水平偏振光的偏振度.实验发现:散射光的偏振度随粒子直径的变化呈现出一定的规律性,直径大的粒子散射光在水平方向的偏振度小于直径小的粒子;而垂直方向的偏振度却完全相反,直径大的粒子大于直径小的粒子.     

Mie理论递推公式计算散射相位函数

在激光雷达探测中,关于多次散射雷达回波的研究,散射相位函数是个非常重要的物理量。本文利用Mie理论的递推公式,对单一粒径介质的散射相位函数进行了计算,计算结果与散射理论中前、后向散射峰值大小随粒子半径的增大而增大相一致。同时,对非单一粒径介质的散射相位函数进行了计算,可用于大气、雾和云等气溶胶多次散射的研究。     

由吸收系数和粒度分布计算浮游植物的散射光谱特征

散射特性在水色卫星遥感模式的开发、水下光辐射传输、优势藻光谱特征的提取以及赤潮监测等方面有着重要的应用价值.在假定藻细胞为均匀球形结构的条件下,建立了浮游植物的散射正演模型.模型输入参量为实际测量的藻细胞吸收系数和粒度分布,输出参量为浮游植物的散射效率和吸收效率光谱.对短伪海链藻和威氏海链藻进行实验,模拟结果与实验结果的比较发现:该模型估箅得到的散射光谱能与实验的散射光谱得到很好的吻合,两种藻的模拟散射效率相对实验散射效率的误差分别为7%和10.6%,吸收效率的误差分别为7.4%和13.4%.模拟与实验结果的吻合表明,由吸收系数和粒度分布可以模拟出藻类的散射光谱特性.单细胞近似球形藻类散射正演模型可行.     

平面上方分层小球的光散射计算

本文基于扩展的Mie理论方法求解平面上方分层小球的散射问题。通过建立小球和平面的模型,解决小球和平面的边界条件问题,并利用矢量波函数展开的方法求得了散射场。强调了小球与表面的相互作用。利用Mie理论方法得到了分层小球的散射场系数,通过计算平面上小球的散射模型,得到了平面上分层小球的散射场分布。结论给出了分层介质小球的微分散射截面图。     

福尔马肼聚合物粒子的Mie散射研究

为确定检测水质用的ＮＴＵ标准液中的福尔马肼聚合物粒子的参数，本文运用Ｍｉｅ散射理论，结合对在线清水浊度仪的分析，通过氩离子激光与氦氖激光在标准浊度液中的消光与散射的实验及理论分析，发现福尔马肼聚合物粒子的粒度呈正态分布，分布中心的粒子直径为了１．２μｍ，粒子的折射率为１．３６，该结果在实验中得到了很好的验证。     

超宽频带THz脉冲在随机散射介质中传播的理论研究

研究了超宽频带THz脉冲入射到散射介质中时其透射脉冲的时空特性.根据Mie理论计算出随机散射介质的散射系数和各向异性因子,用时间分辨Monte Carlo方法模拟了超宽频带的THz脉冲在随机散射介质中的传播,研究了在不同散射颗粒半径,不同频宽的THz入射脉冲对透射脉冲的影响和散射对成像分辨率的影响.结果表明:散射会降低THz脉冲在随机散射介质中的成像分辨率,散射颗粒越小,散射介质越厚,其成像分辨率越差.