Title: Electromagnetics of deeply subwavelength metamaterial particles Show Chinese title

Title: 深亚波长超材料粒子的电磁学

Abstract: This article discusses electromagnetic properties of volumetric metamaterial samples with essentially discrete structure, that is, assembled as a periodic array of electromagnetic resonators. We develop an efficient numerical procedure for calculating quasi-static electromagnetic response precisely to analyse samples containing several million meta-atoms. We demonstrate that, contrary to a common belief, even million-``atoms'' samples with sharp edges are still quite different from uniform (``homogenised'') materials, and their properties are critically sensitive to their shape and boundary structure. We also compare our results with calculations based on the discrete dipole approximation as well as with an integral model for continuous particles, and analyse distinctions and similarities between the different approaches. In particular, discrete metamaterials present themselves as a stringent platform for assessing continuous models developed for finite objects with sharp edges. Overall, the reported results should be important for understanding mesoscopic systems with strongly interacting elements. Show Chinese abstract

Abstract: 本文讨论了具有本质上离散结构的体积超材料样品的电磁特性，即作为电磁谐振器的周期性阵列组装而成。 我们开发了一种高效的数值方法，用于精确计算准静态电磁响应，以分析包含数百万个元原子的样品。 我们证明，与普遍认为的不同，即使具有锋利边缘的数百万个“原子”样品仍然与均匀（“均质化”）材料有很大差异，其特性对其形状和边界结构非常敏感。 我们还将结果与基于离散偶极子近似的计算以及针对连续粒子的积分模型进行了比较，并分析了不同方法之间的差异和相似之处。 特别是，离散超材料为评估针对具有锋利边缘的有限物体开发的连续模型提供了一个严格的平台。 总体而言，报告的结果对于理解强相互作用元件的介观系统应该具有重要意义。