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Visible light Laue diffraction from woodpile photonic crystals

机译:柴堆光子晶体的可见光劳厄衍射

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Bragg diffraction is often used as a tool to assess the structural quality of two-dimensional and three-dimensional (3D) photonic crystals. However, direct conclusions from the Laue diagrams to the underlying crystals structure cannot be drawn, as multiple scattering due to the high index contrast takes place. Here we systematically study the scattering of visible light by 3D woodpile photonic crystals with varying internal refractive index contrast Δn, to determine the limits of the single (kinematic) scattering approach. We aim to describe the intensity distribution of diffracting Bragg peaks with analytic expressions similarly to x-ray scattering at electronic crystals. Measured scattering curves of selected Bragg reflections are classified in terms of Δn. We find that the kinematic approach describes the shape and intensity distribution of experimental scattering curves in acceptable accuracy as long as Δn < 0.15. The transition between single and multiple scattering is observed for Δn ≈ 0.16 - 0.25 before multiple scattering dominates for larger Δn. The classification of the scattering regimes is confirmed by simulations in terms of numerical solution of Maxwell's equations.
机译:布拉格衍射通常用作评估二维和三维(3D)光子晶体结构质量的工具。但是,由于存在高折射率对比,因此会发生多重散射,因此无法得出从劳厄图到下层晶体结构的直接结论。在这里,我们系统地研究具有不同内部折射率对比度Δn的3D木桩光子晶体对可见光的散射,以确定单一(运动学)散射方法的极限。我们的目的是用与电子晶体X射线散射相似的解析表达式来描述衍射布拉格峰的强度分布。所选布拉格反射的测得散射曲线按照Δn分类。我们发现,只要Δn<0.15,运动学方法就可以以可接受的精度描述实验散射曲线的形状和强度分布。对于较大的Δn,在多次散射占优势之前,对于Δn≈0.16-0.25观察到单次散射和多次散射之间的过渡。根据麦克斯韦方程组的数值解,通过模拟确定了散射状态的分类。

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