论文标题
汉伯里·布朗 - 朗维斯效应,具有电磁散射场,由$ \ mathcal {l} $ types的颗粒集产生
Hanbury Brown-Twiss effect with electromagnetic scattered field generated by a collection of particles of $\mathcal{L}$ types
论文作者
论文摘要
开发了球形极坐标系中的理论框架,以系统地处理电磁光波的强度波动(CIF)之间的相关性,从$ \ Mathcal {l} $类型的粒子集合中散射。引入了两个$ \ Mathcal {L} \ Times \ Mathcal {L} $矩阵,称为Pair-potitalial Matrix(PPM)和配对结构矩阵(PSM),首次共同制定了分散场的归一化CIF。我们建立了一个封闭形式的关系,该关系将标准化的CIF与PPM和PSM相关联,以及事件领域的极化$ \ Mathcal {P} $的光谱程度,表明归一化的CIF与PSM的乘积痕迹密切相关,并且PPM的ppm and and clanditive and clytence and Its $ \ Math and and and clytence and and and and and and couth and az $} $ \} cy {p}。对于特殊情况,不同类型颗粒颗粒的散射电位的空间分布相似,并且它们的密度分布是正确的,因此PPM和PSM将减少到两个新矩阵,它们的元素分别量化了粒子散射势的角度相关程度,并确保粒子在该专业范围内的粒子数量,以确保范围为量表。两个数值示例说明了PPM和PSM对归一化CIF及其对$ \ Mathcal {p} $的依赖性的影响。
A theoretical framework in the spherical polar coordinate system is developed to systematically treat the correlation between intensity fluctuations (CIF) of electromagnetic light waves on scattering from a collection of particles of $\mathcal{L}$ types. Two $\mathcal{L}\times \mathcal{L}$ matrices called pair-potential matrix (PPM) and pair-structure matrix (PSM) are introduced to jointly formulate the normalized CIF of the scattered field for the first time. We build a closed-form relation that associates the normalized CIF with the PPM and the PSM as well as the spectral degree of polarization $\mathcal{P}$ of the incident field, showing that the normalized CIF is closely related to the trace of the product of the PSM and the transpose of the PPM, and its dependence on $\mathcal{P}$ is completely determined by the scattering polar angle and azimuth angle. For a special case where the spatial distributions of scattering potentials of particles of different types 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 the 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 appears as a scaled factor to ensure the normalization of the CIF. The effects of the off-diagonal elements of the PPM and the PSM on the normalized CIF and its dependence on $\mathcal{P}$ are illustrated by two numerical examples.