Loiko Natalia A, Miskevich Alexander A, Loiko Valery A
J Opt Soc Am A Opt Image Sci Vis. 2018 Jan 1;35(1):108-118. doi: 10.1364/JOSAA.35.000108.
We have derived an analytical solution for an incoherent component of light scattered by a normally illuminated monolayer of homogeneous spherical particles. It is based on the quasi-crystalline approximation of the theory of multiple scattering of waves as well as on the multipole expansion of electromagnetic fields and tensor Green's function in terms of vector spherical wave functions. We apply the solution to a description of scattering and absorption characteristics of partially ordered monolayers and monolayers with imperfect lattices. The impact of particle size and type of particle spatial order on light absorption is studied. The comparison of calculated and available experimental data is made on the angular and spectral position of the first diffraction order peak for a monolayer with an imperfect triangular lattice from silicon dioxide particles. The theoretical and experimental data are in close agreement.
我们已经推导了一个解析解，用于描述均匀球形颗粒的正常照明单层所散射光的非相干分量。它基于波的多重散射理论的准晶近似，以及基于电磁场的多极展开和张量格林函数在矢量球波函数方面的展开。我们将该解应用于描述部分有序单层和具有不完美晶格的单层的散射和吸收特性。研究了颗粒大小和颗粒空间序类型对光吸收的影响。对由二氧化硅颗粒构成的具有不完美三角晶格的单层的第一衍射级峰的角度和光谱位置，进行了计算数据与现有实验数据的比较。理论数据与实验数据吻合得很好。
