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Refraction properties of fcc and hcp Si0_2-based colloidal crystals

机译：FCC和HCP Si0_2基胶体晶体的折射特性

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摘要

Close-packed 3D colloidal crystals, regular arrangement of mono-disperse silica or polymer spheres with diameter within the wavelength range of visible light, show many novel optical phenomena that are strongly dependent of the sphere-packing symmetry. From both analytical and experimental results, is well known that there are two predominant ways of stacking mono-disperse spheres to minimize the interstitial volume in a colloidal crystal. One of them leads to a close packed face-centered-cubic (fcc) structure, called synthetic opal, and, the other one, to an hexagonal close packed (hcp) structure. Although computer simulations show that the fcc structure is more stable, there are a lot of papers in which a hcp phase is observed. In this work, the photonic band structure of the fcc and hcp 200nm SiO_2 based colloidal crystals are calculated using the plane wave expansion method (PWEM). A comparative kinematic study of the refraction properties of the fcc and hcp structures is presented, showing that the effective refractive index depends basically of the dispersion relations and of the plane of polarization and that it is not limited by the refractive index of the composing materials.
机译：封闭式3D胶体晶体，单分散二氧化硅或具有直径在可见光的波长范围内的单分散二氧化硅或聚合物球的规则布置，显示出许多新颖的光学现象，这是强烈依赖的球形对称性。从分析和实验结果来看，众所周知，堆叠单分散球的两种主要方法以最小化胶体晶体中的间质量。其中一个导致紧密填充的面对面立方（FCC）结构，称为合成蛋白石，另一个，以及另一个，另一个是六边形关闭填充（HCP）结构。虽然计算机仿真表明，FCC结构更稳定，但有很多纸张观察到HCP相位。在这项工作中，使用平面波膨胀方法（PWEM）计算FCC和HCP 200nm SiO_2的胶体晶体的光子带结构。提出了对FCC和HCP结构的折射率的比较运动学研究，示出了有效折射率基本上取决于分散关系和极化平面，并且它不受组成材料的折射率的限制。

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