球形粒子Mie散射特性分析

越来越多的与微粒相关的技术问题在许多领域出现,这些问题都与Mie散射理论有关。利用Matlab改进算法,对球形微粒子Mie散射特性做了较为全面和深入的分析,有助于Mie散射理论的研究和应用。     

Improving the accuracy of laser particle sizer with Mie scattering theory

Using the classical Mie scattering theory and Fraunhofer diffraction theory,adetailed analysis of the differences of the light energy distribution falling on the multi-elementconcentric photo-detector of a diffraction based laser particle sizer is given.Numerical calcula-tions and computer simulation are carried out. Experimental studies are also made with latexspheres as Standard Reference Material.Our research shows that when the classical Mie scat-tering theory is used,the accuracy of the particle sizer can be essentially improved not only inthe small size range,but also for large paticles.At the same time the time needed for data re-duction in both cases is almost the same.     

金属类散射体的Mie散射特性研究

基于Mie散射理论研究发现,各种金属在中红外区的的散射行为极为相似,是一种反照率极高但散射效率极低的散射体,数值研究揭示了这类散射体系的光学截面以及散射强度的分布的内在联系.     

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°.     

Effects of matrices on Mie scattering in the mid-infrared region

Various Mie scattering systems, each having a transparent matrix, are studied in the mid-infrared region. Our three theoretical scattering systems correspond to a lossless scatterer, an anomalous dispersive dielectric scatterer and a metal scatterer, each in a non-air usual matrix. The refractive-index effects of the matrix on scattering and extinction efficiencies in the mid-infrared region are found to be quite different in different cases. Although the non-air usual matrix reduces scattering and extinction efficiencies in the first kind of system, it may or may not help scatter and extinguish the mid-infrared radiation in the second, and it has little effect on them in the third.     

微粒子的线度对Mie散射光强度影响的研究

根据Mie散射理论,研究了粒子线度对Mie散射光强的影响,不同性质的粒子,其影响效果不同,在固定入射波长条件下,散射光强随粒子线度呈周期变化,同时发现H2O微粒子散射光强峰峰间距与粒子的线度和波长的关系可简单的表示为Δa=-0.133 3+0.222λ.     

声致发光单泡的Mie散射测量参数的理论计算

本文运用Mie散射理论系统地计算了适用于声致发光单泡的Mie散射测量参数，利用Dave倒推算法得出散射光强随半径及散射角的变化曲线I（R），I（θ），结果表明：适合于连续Mie散射测量，脉冲Mie散射测量及Mie散射定标的散射角及接收器张角是各不相同的。文中给出了合适的参数范围。     

Mie理论在生物组织散射特性分析中的应用

根据等效颗粒散射模型，运用经典的Mie理论，对生物组织的散射相函数、各向异性因子及散射系数进行了数值计算.计算结果表明：可见光照射生物组织时，各向异性因子、散射系数随等效颗粒直径增大而增大；等效颗粒直径较小时，各向异性因子、散射系数随入射光波长增大而单调减小；随着等效颗粒直径增大，各向异性因子、散射系数随入射光波长变化不再具有单调性.上述计算结果可合理解释公布的实验结果. 关键词： 生物组织 散射 Mie理论 等效颗粒     

Mie散射向前递推连分式算法及其数值模拟

提出了一种新的Mie散射算法。针对Mie散射系数计算中直接递推所存在的数据溢出问题,对散射系数的递推公式进行改进,以连分式形式进行计算,将两个关键函数分别向前递推,避免了直接计算时贝塞尔函数值超出计算机最大数据限而造成的数据溢出问题。利用Matlab编程,分别计算了不同粒径参数和不同折射率情况下的散射光强分布,并对两种算法的模拟结果进行了分析比较。结果表明,在两种算法都有效的范围内这两种算法的计算结果完全相符,而改进的向前递推连分式算法用一个变量循环叠代就能完成连分式的计算,展宽了使用范围,不仅能够计算超大粒径参数散射,而且算法对折射率虚部没有任何限制。     

Mie scattering of a partially coherent beam

The scattering of a partially coherent electromagnetic beam by a dielectric sphere is described. Two methods are presented: a coherent mode representation and a spherical harmonics expansion. In the case of a distant blackbody source, the coherent modes are plane waves and the scattered intensity is obtained by a convolution of the classical Mie results over the source surface.     

A New Spherical Bessel Function Result Related to Quantum Mechanical Scattering Theory

The authors present a derivative formula for the square of a spherical Bessel function in terms of the spherical Bessel function of twice the argument. This derivative formula is then applied in an inversion problem for the partial-wave Born approximation in quantum mechanical scattering theory. Several other closely related results and derivative formulas are also considered.     

测量单泡声致发光中气泡R(t)曲线的前向Mie散射技术

光干涉原理和Mie理论计算结果表明,单泡声致发光中气泡前向Mie散射的振荡信号,主要是由于气泡的透射光束和表面反射光束之间光干涉产生的. 这些干涉波峰形成了测量气泡半径的空间标尺,标尺的单位长度δR由散射角θ,检测光波波长和流体光折射率确定,而每个波峰就是标尺的刻线,它们与该时刻的气泡半径大小一一对应. 在30°—50°散射角范围内,利用前向Mie散射实验测定了单泡声致发光中气泡的最大半径,R(t)曲线及平衡半径,表明前向Mie散射是一种便捷的测定气泡运动特性的有效方法. 关键词： 单泡声致发光 前向Mie散射 光干涉     

Light-induced frequency shift of stimulated Raman scattering in Bessel light beams

The medium susceptibility related to stimulated Raman scattering (SRS) is known to be a complex value whose imaginary part determines the SRS gain coefficient whereas the real part constitutes a small fraction of the refractive index at the frequencies of the scattered emission that is proportional to the intensity of the exciting beam. Strong transverse nonuniformity of this beam causes focusing of high-frequency components of the scattered light and defocusing of low-frequency ones that inevitably affect their amplification efficiency. The effect for Gaussian pumping is responsible for a slight shift of the SRS gain spectrum towards higher frequencies. The present work analyzes theoretically SRS excited by a Bessel light beam and demonstrates that the axial component of the scattered emission experiences a frequency shift that is much greater than that for the case of Gaussian beam pumping. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 75, No. 3, pp. 336–341, May–June, 2008.     

基于Mie散射理论对砷化镓光子晶体安德森定域化研究

基于Mie散射理论和低浓度近似,对砷化镓作为散射体光子晶体中的安德森定域化参量进行了理论计算,并分析了影响定域化现象的各种因素。结果表明:在散射体体积分数为10%,相对折射率大于3.8时,远红外区50~65 μm范围内出现严格的定域化现象;随着散射体半径的增大,定域化区向长波方向移动,且定域化参量先增大后减小。     

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.     

基于MATLAB与LabVIEW的 Mie散射参数分析系统

针对激光散射法测量0.1 m~10 m微小球形颗粒过程中,Mie散射理论各参数的分析、计算、最优化选取比较复杂和繁琐,通过收敛速度、折射率和尺度参数测量范围、叠加次数的比较,采用球形粒子Mie散射参量的MATLAB改进算法, 结合MATLAB较强的计算能力和LabVIEW良好的图形化界面,进行LabVIEW和MATLAB混合编程。设计了Mie散射理论参数分析系统,系统实现散射系数的计算,并分别对散射系数与颗粒直径关系曲线、散射强度分布曲线、入射光波长与散射光强关系曲线、颗粒直径与散射光强关系曲线、入射光偏振角与散射光强关系曲线进行分析。通过实验结果和结论对比验证系统可行,且散射系数、消光系数和散射光强的计算结果可精确到小数点后17位,从而达到减少大量计算和编程工作的目的。     

Sum rules for zeros and intersections of Bessel functions from quantum mechanical perturbation theory

Bessel functions play an important role for quantum states in spherical and cylindrical geometries. In cases of perfect confinement, the energy of Schrödinger and massless Dirac fermions is determined by the zeros and intersections of Bessel functions, respectively. In an external electric field, standard perturbation theory therefore expresses the polarizability as a sum over these zeros or intersections. Both non-relativistic and relativistic polarizabilities can be calculated analytically, however. Hence, by equating analytical expressions to perturbation expansions, several sum rules for the zeros and intersections of Bessel functions emerge.     

贝赛尔函数展开对空间方位失调角测量误差的影响

调制偏振光可以作为空间方位信息的载体,实现方位角度信息的测量,在军事、航天、生物医药等领域有广泛的应用前景。文章阐述了基于磁光调制偏振光的方位失调角测量原理,针对原理中贝赛尔函数展开带来的失调角测量误差,详细推导了截取不同项数时失调角的计算公式。仿真结果表明:随着贝赛尔函数展开式截取项数的增加,失调角的测量误差越来越小;截取二倍频信号与三倍频信号的测量误差相当,但符号相反;截取项数高于四倍频信号后,误差基本保持不变。因此利用磁光调制偏振光进行方位失调角测量时,贝赛尔函数展开式截取项数不易超过四倍频信号。     

单分散系微粒的Mie散射计算

Mie散射是公认的一种极具发展前途的微粒测试技术,应用于工厂、企业排放烟尘中微粒粒度和浓度的测试,具有非接触、精度高、重复性好和可实时在线测量的优点,是研究检测污染排放的主要技术手段,也是微粒粒度和浓度分析的理论基础.本文对Mie散射理论的多个参量进行计算并给出其数学表达式.