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Phase diagram for the transition from photonic crystals to dielectric metamaterials

机译:从光子晶体到介电超材料过渡的相图

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摘要

Photonic crystals and dielectric metamaterials represent two different classes of artificial media but are often composed of similar structural elements. The question is how to distinguish these two types of periodic structures when their parameters, such as permittivity and lattice constant, vary continuously. Here we discuss transition between photonic crystals and dielectric metamaterials and introduce the concept of a phase diagram, based on the physics of Mie and Bragg resonances. We show that a periodic photonic structure transforms into a metamaterial when the Mie gap opens up below the lowest Bragg bandgap where the homogenization approach can be justified and the effective permeability becomes negative. Our theoretical approach is confirmed by microwave experiments for a metacrystal composed of tubes filled with heated water. This analysis yields deep insight into the properties of periodic structures, and provides a useful tool for designing different classes of electromagnetic materials with variable parameters.
机译:光子晶体和介电超材料代表两种不同类型的人造介质,但通常由相似的结构元素组成。问题是当介电常数和晶格常数等参数连续变化时,如何区分这两种类型的周期性结构。在这里,我们讨论光子晶体与介电超材料之间的过渡,并基于Mie和Bragg共振的物理原理介绍相图的概念。我们显示出,当Mie间隙在最低的Bragg带隙以下打开时,周期性的光子结构会转变为超材料,在该处最低的布拉格带隙可以证明均质化方法的有效渗透率变为负值。我们的理论方法已通过微波实验证实,该实验由充满热水的试管组成。该分析可深入了解周期性结构的性质,并为设计具有可变参数的不同类别的电磁材料提供了有用的工具。

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