基于Mie散射理论的白光发光二极管荧光粉散射特性研究

基于Mie散射理论,对大功率发光二极管封装中荧光粉的光激发、吸收、散射等作用进行数值模拟,仿真计算在不同白光色温时前后向散射光的强度比例,研究了荧光粉的颗粒大小对白光发光二极管最大光通量的影响.对保型荧光粉涂覆结构中不同直径荧光粉颗粒和不同色温时的光效进行了分析,还分析了同样色温下不同荧光粉颗粒直径、涂层的厚度对白光发光二极管出光的空间色温分布均匀性的影响.研究中所采用的器件激发光谱和发射光谱都为材料的实测光谱,而并非假设的单一光谱.研究表明:在采用保型荧光粉涂覆结构的前提下,当荧光粉颖粒直径为0.5μm时能使发光二极管光通量达到最大;荧光粉颗粒越小,发光二极管空间色温分布均匀性越好;对给定的封装结构,荧光粉涂层厚度为0.8 mm时空间色温分布均匀性最佳.     

A new proof of Mie effect in light scattering

In detecting particles on a substrate, two-white-spots phenomenon was observed. This gives an illusion that light scattering is caused by two spheres, in fact it is just caused by one sphere. This phenomenon makes particle detection by light scattering much more complicated. Analysis on this phenomenon shows that Mie effect is the reason of formation of two white spots. This experiment demonstrates the images of Mie effect, and provides a strong evidence of theory of Mie effect.     

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.     

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     

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.     

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。     

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.     

瑞利散射和米氏散射现象的实验演示

硫代硫酸钠与稀盐酸反应时,会在溶液中缓慢产生不溶于水的固态硫分子,其直径小于可见光的波长;随着反应的进行,多个硫分子聚结形成较大颗粒,其直径接近并逐渐大于可见光波长.在上述反应过程中,利用白光照射溶液,可以分别观察到瑞利散射和米氏散射现象,并在文中研究和分析瑞利散射时光的偏振特性.     

Coherence-vortex lattice formed via Mie scattering of partially coherent light by several dielectric nanospheres

We previously demonstrated that Mie scattering of stationary partially coherent light by dielectric spheres generates coherence vortices. In this Letter, we demonstrate that a lattice of coherence vortices can be generated by Mie scattering of partially coherent electromagnetic waves by a system of three coplanar dielectric spheres. Spontaneous coherence-vortex creation and destruction is observed in our computer modeling of this system.     

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。     

Unified Mie and fractal scattering by biological cells and subcellular structures

Angle-resolved light scattering spectroscopy of biological cells is investigated in the visible wavelength range. A unified Mie and fractal model is shown to provide an accurate global agreement with light scattering spectra from 1.1 degrees to 165 degrees scattering angles. It is found that light scattering in forward directions (<8 degrees ) is dominated by Mie scattering by the bare cell and nucleus, whereas light scattering at large angles (>20 degrees ) is determined by fractal scattering by subcellular structures. The findings are consistent with the results of experimental investigation of the contributions of different cellular components to light scattering by cells.     

Linearized T-matrix and Mie scattering computations

We present a new linearization of T-Matrix and Mie computations for light scattering by non-spherical and spherical particles, respectively. In addition to the usual extinction and scattering cross-sections and the scattering matrix outputs, the linearized models will generate analytical derivatives of these optical properties with respect to the real and imaginary parts of the particle refractive index, and (for non-spherical scatterers) with respect to the “shape” parameter (the spheroid aspect ratio, cylinder diameter/height ratio, Chebyshev particle deformation factor). These derivatives are based on the essential linearity of Maxwell's theory. Analytical derivatives are also available for polydisperse particle size distribution parameters such as the mode radius. The T-matrix formulation is based on the NASA Goddard Institute for Space Studies FORTRAN 77 code developed in the 1990s. The linearized scattering codes presented here are in FORTRAN 90 and will be made publicly available.     

Mie光散射理论的数值计算方法

Mie散射级数的计算速度和精度对颗粒测量结果有着重要的影响。针对不同颗粒直径和相对折射率，一般采用前向递推，后向递推，连分式法等计算Mie散射级数。在这3种方法的基础上提出一种改进算法，即首先通过连分式法计算Mie散射级数的初始值，然后后向递推其余各值。该算法在Matlab中实现时，数据以数组的数据类型存储和调用，程序采用递归算法。通过比较计算结果发现，该算法耗时短且结果不易溢出，具有快速、稳定、不受颗粒直径和折射率范围影响等优点。     

Predicting scattering properties of fiber suspensions using Mie theory and probabilistic cross-sectional diameter of fibers

Optical Review - Scattering of visible light by micrometer-scale natural wood fibers is usually treated by assuming fibers to be perfect long cylindrical scatterers. In industrial processes,...     

Mie theory with spatial dispersion

The classícal Mie theory for the scattering and absorption of electromagnetic radiation by a sphere is extended to the case of a dieelectric sphere which exhibits spatial dispersion. This is achieved by imposing the usual Maxwell boundary conditions as well as Pekar's additional boundary conditions at the surface of the sphere.     

Cascades of Fano resonances in Mie scattering

The interference nature of resonant Mie scattering, which is described within the Fano model, has been demonstrated. The interference is caused by interaction of an incident electromagnetic wave with reemitted waves that correspond to eigenmodes of a scattering particle. Mie scattering due to the interference can be represented in the form of cascades of resonance lines of different shapes, each of which is described by the classical Fano formula. The effect is observed in resonant light scattering by an arbitrary body of revolution and discussed in detail using the example of scattering by an infinite homogeneous dielectric cylinder.     

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.     

Gustav Mie and the scattering and absorption of light by particles: Historic developments and basics

Gustav Mie was a professor of physics with a strong background in mathematics. After moving to the University of Greifswald in North-Eastern Germany he became acquainted with colloids, and one of his PhD students investigated the scattering and attenuation of light by gold colloids experimentally. Mie used his previously acquired knowledge of the Maxwell equations and solutions of very similar problems in the literature to concisely treat the theoretical problem of scattering and absorption of light by a small absorbing sphere. He also presented many numerical examples which completely explained all the effects that had been observed until then. Since all calculations were done by hand, Mie had to limit his theoretical results to three terms in infinite expansions, thus he only could treat particles smaller than 200 nm at visible wavelengths. Mie's paper had remained hardly noticed for the next 50 years, most likely because of the lack of computers. It experienced a revival later and up to now it has been referenced more than 4000 times, owing to the widespread use of Mie's approach in sciences such as astronomy, meteorology, fluid dynamics and many others.Gustav Mie did not consider his work on scattering of light by small particles as very important, since he just tried to explain the effects which his students had observed. He concentrated on hot topics in theoretic physics, e.g., the theory of matter. He wrote several textbooks, e.g., on relativity, gravitation theory, and electromagnetism, and all of them had run into several editions.     

On the theory of light scattering in molecular liquids

The theory of light scattering for a system of linear molecules with anisotropic polarizabilities is considered. As a starting point for our theory, we express the result of a scattering experiment in VV and VH symmetry as dynamic correlation functions of tensorial densities ρ _lm(q) with l = 0 and l = 2. l, m denote indices of spherical harmonics. To account for all observed hydrodynamic singularities, a generalization of the theory of Schilling and Scheidsteger [1] for these correlation functions is presented, which is capable to describe the light scattering experiments from the liquid regime to the glassy state. As a microscopic theory it fulfills all sum rules contrary to previous phenomenological theories. We emphasize the importance of the helicity index m for the microscopic theory by showing, that only the existence of m = 1 components lead to the well known Rytov dip in liquids and to the appearance of transversal sound waves in VH symmetry in the deeply supercooled liquid and the glass. Exact expressions for the phenomenological frequency dependent rotation translation coupling coefficients of previous theories are derived. Received 3 July 2000 and Received in final form 7 November 2000