The problem of light scattering and absorption is considered for a free-standing two-dimensional array (monolayer) of nano- and micrometer spherical silver particles. To solve this problem for short- and imperfect long-range ordered arrays the statistical theory of multiple scattering of waves is used. The key points of the developed semi-analytical method are described. The method is based on the quasicrystalline approximation and the multipole expansion of electromagnetic fields and the dyadic Green's function in terms of vector spherical wave functions. Results for the angular distribution of scattered light, the coefficients of coherent transmission and reflection, incoherent scattering, and absorption of a monolayer are obtained for a spectral range corresponding to the nanoparticle plasmonic resonance. Some features of light propagation through two-dimensional arrays of particles with different spatial order are investigated and discussed. The results are in close agreement with the existing experimental data for a partially ordered array and the calculations for a regular array obtained under the extended low-energy electron diffraction theory.

对于纳米和微米球形银颗粒的独立二维阵列（单层），考虑了光散射和吸收的问题。为了解决短距离和不完美的远程有序阵列的这一问题，使用了波的多次散射的统计理论。描述了开发的半分析方法的要点。该方法基于矢量球面波函数的准晶近似和电磁场的多极扩展以及二进位格林函数。对于对应于纳米粒子等离子体共振的光谱范围，获得了散射光的角度分布，相干透射和反射系数，非相干散射和单层吸收系数的结果。研究和讨论了通过具有不同空间顺序的粒子的二维阵列传播的光的一些特征。结果与部分有序阵列的现有实验数据和在扩展的低能电子衍射理论下获得的规则阵列的计算结果非常吻合。