论文标题
基于T-Matrix均化人造材料的方法
A T-matrix Based Approach to Homogenize Artificial Materials
论文作者
论文摘要
通过人造材料制成的物体的电磁响应的准确计算对于设计光子功能和解释实验至关重要。如今，先进的制造技术可以作为散射单元的三维晶格产生新材料。除非有效的均匀介质近似离散材料，否则计算由这种材料制成的任意形状对象的响应通常是计算上的。在这里，我们引入了基于有效T-矩阵的均质化方法。这样的矩阵捕获了离散材料的确切响应，由孤立的晶胞和材料晶格向量的t矩阵确定，并且没有空间分散体。有效的T矩阵截断对偶极顺序的截断决定了常见的双性异性本质关系。当与量子化学和麦克斯韦求解器结合使用时，该方法允许人们计算结构化分子材料和超材料的任意形状的体积拼布的响应。
The accurate and efficient computation of the electromagnetic response of objects made from artificial materials is crucial for designing photonic functionalities and interpreting experiments. Advanced fabrication techniques can nowadays produce new materials as three-dimensional lattices of scattering unit cells. Computing the response of objects of arbitrary shape made from such materials is typically computationally prohibitive unless an effective homogeneous medium approximates the discrete material. In here, we introduce a homogenization method based on the effective T-matrix. Such a matrix captures the exact response of the discrete material, is determined by the T-matrix of the isolated unit cell and the material lattice vectors, and is free of spatial dispersion. The truncation of the effective T-matrix to dipolar order determines the common bi-anisotropic constitutive relations. When combined with quantum-chemical and Maxwell solvers, the method allows one to compute the response of arbitrarily-shaped volumetric patchworks of structured molecular materials and metamaterials.
