Abstract

The problem of light scattering and absorption by a monolayer of homogeneous spherical particles at an arbitrary angle of incidence of a plane wave, which determines the phase shift between the averaged fields in the particles, has been solved. The solution is based on the quasi-crystalline approximation of the theory of multiple scattering of waves, the mean-field approximation, and the multipole expansion of the fields and the tensor Green function in terms of vector spherical wave functions. Formulas for determining the angular distribution of the incoherently scattered field intensity, the incoherent scattering, absorption, coherent transmission, and reflection coefficients have been derived. The dependences of these characteristics on the direction of illumination are illustrated using partially ordered monolayers of dielectric and semiconductor particles as an example. It is shown that: (i) under oblique illumination the angular distribution of the scattered radiation in azimuthal scattering angle for any polarization of the incident wave (except for p and s) is asymmetric relative to the plane of incidence, (ii) the maximum of the angular distribution of the radiation transmitted through the monolayer can approach its normal with increasing angle of incidence and/or concentration of particles, (iii) there exist conditions under which the bulk of the scattered radiation is concentrated in the direction opposite to the direction of the incident radiation, and (iv) the dependence of the monolayer absorption coefficient on the illumination angle has extrema whose positions and magnitudes are determined by the polarization of the incident wave.

中文翻译：

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倾斜照明下单层球形颗粒对光的散射和吸收

摘要

解决了均匀的球形颗粒单层在平面波的任意入射角处的光散射和吸收的问题，该问题决定了颗粒中平均场之间的相移。该解决方案基于波的多重散射理论的准晶体近似，平均场近似以及场的多极扩展和张量Green函数（根据矢量球面波函数）。推导了用于确定非相干散射场强度，非相干散射，吸收，相干透射和反射系数的角分布的公式。这些特性对照明方向的依赖性以电介质和半导体颗粒的部分有序单层为例进行说明。结果表明：（i）在斜向照射下，对于入射波的任何极化，散射辐射在方位角散射角下的角度分布（除了p和s）相对于入射平面不对称，（ii）通过单层传输的辐射的最大角度分布可以随着入射角和/或粒子浓度的增加而接近其法线，（iii）存在在这种情况下，大部分散射辐射集中在与入射辐射方向相反的方向上；并且（iv）单层吸收系数对照明角度的依赖性具有极值，其位置和大小由极化强度决定。入射波。