535.36:621.373 Angular dependences of electromagnetic radiation scattered by separate finite dielectric cylinders and their ordered assemblies have been numerically simulated using a volume integral equation formalism. Dependences of directional diagrams on optical-geometric parameters of both the separate finite cylinders and their spatial ordering were studied. It is shown that collective effects of a coherent nature in the assembly of spatially ordered cylinders result in a scattered radiation angular distribution that differs strongly from that obtained for a system of cylinders that are not electrodynamically coupled.Introduction. The problem of controlling directional diagrams (DDs) of sources and transformers of electromagnetic radiation is one of the critical problems of modern photonics and radiophysics. The propagation and scattering of electromagnetic radiation can also be controlled by using multi-component systems formed by electrodynamically coupled components (elementary scatters). Electromagntic waves scattered by the elements of such spatially ordered structures are typically highly coherent. As a result, collective interference effects play a decisive role in forming the spectral characteristics and DDs. For example, photonic crystals with periodic structures of various dimensions are of great interest. Interference of multiply scattered waves in photonic crystals can cause spectral and spatial-frequency bands to form. The propagation of electromagnetic radiation in these is completely forbidden or considerably suppressed [1].Two-dimensional photonic crystals consisting of cylinders of finite length present significant promise in many practically important instances. For example, this class of problems includes the spectral characteristics of selective optical elements based on channeled and columnar dielectric media that are produced by electrochemical oxidation of metallic films [1][2][3]. Films of anodized aluminum that are a matrix of aluminum oxide penetrated almost completely by cylindrical pores oriented perpendicular to the sample surface are the most common examples of these. It was found that the structural parameters, matrix materials, and filler can be varied in order to control transmission and reflectance spectra of such systems. Another important task is the development of methods for adjusting the angular characteristics of radiation by selecting the sample microphysical parameters for purposes of photonics and opto-electronics and for optimization of radiofrequency devices. The technical requirements for miniaturization of the devices (size reduction) make it necessary to study assemblies of a finite number of electrodynamically coupled objects.The goal of the present work was to model DDs and to compare the angular distributions of radiation scattered by separate cylinders and multimers formed by them, i.e., systems of several cylinders. Multimers of ordered assemblies of seven cylinders parallel to each other, the bases of which were located in a single plane, were examine...
Based on the interference approximation of the statistical theory of multiple wave scattering for planar systems characterized by two ordering scales, a model is proposed for calculating the coefficients of coherent transmission of Tcog, reflection Rcog and the angular distribution of the intensity of scattered radiation I(θ). The components of such systems are multimers, integral and angular characteristics, which can be calculated by the method of formalism of the volume integral equation. The radial distribution function of gm(r) multimers depends on their surface concentration ηm..
It was found that dense packing of multimers results in near-orderedness, which amplification electrodynamic coupling between the multimers and manifests itself in a nonmonotonic concentration dependence of the transmission coefficient.
A numerical simulation of functions of the angular distribution of the scattering intensity for dimers and thrimers of finite dielectric cylinders is made using the formalism of the volume integral equation. The function of the angular distribution of the scattering intensity dependence on the optical and geometric parameters of single finite cylinders and their mutual location is studied. It is shown that the electrodynamic interaction between the cylinders leads to a strong change of the angular distribution of intensity of the radiation scattered by this system in comparison with that for two cylinders without electrodynamic coupling.
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