论文标题
从$ \ MATHCAL {L} $类型的粒子的集合中散射光波的散射
Scattering of light waves from a collection with particles of $\mathcal{L}$ types
论文作者
论文摘要
在一阶Born近似中开发了一种新方法，从$ \ Mathcal {l} $类型的粒子集合中进行了光散射。引入了两个$ \ Mathcal {l} \ times \ Mathcal {l} $矩阵，称为配对矩阵（PPM）和配对结构矩阵（PSM）以共同提出分散场的相干性。我们得出了一个封闭形式的关系，该关系将散射场的跨光谱密度函数与PPM和PSM相关联，表明跨光谱密度函数等于PSM的乘积痕迹以及PPM的转置。基于此，进一步分析了散射场的相干性（SDOC）的光谱程度。我们表明，对于特殊情况，不同类型颗粒的散射电位的空间分布相似，并且它们的密度分布相似，PPM和PSM将减少到两个新矩阵，它们的元素分别量化了粒子及其密度分布的散射范围的角度相关性，并在该特殊情况下，以及量表量表的量表。给出了两个特殊的混合颗粒系统，以说明我们新方法的重要性。
A new approach is developed within the first-order Born approximation to light scattering from a collection of particles with $\mathcal{L}$ types. Two $\mathcal{L}\times\mathcal{L}$ matrices called pair-potential matrix (PPM) and pair-structure matrix (PSM) are introduced to jointly formulate the coherence properties of the scattered field. We derive a closed-form relation that associates the cross-spectral density function of the scattered field with the PPM and the PSM, showing that the the cross-spectral density function equals the trace of the product of the PSM and the transpose of the PPM. Based on this, the spectral degree of coherence (SDOC) of the scattered field is further analysed. We show that for a special case where the spatial distributions of scattering potentials of different types of particles are similar and the same is true of their density distributions, the PPM and the PSM will reduce to two new matrices whose elements separately quantify degree of angular correlation of the scattering potentials of particles and their density distributions, and the number of species of particles in this special case as a scaled factor ensures the normalization of the SDOC. Two special hybrid particulate systems as examples are given to illustrate the importance of our new approach.
