论文标题
Bloch波和拓扑模式转向的渐近近似在Neumann散射器的平面阵列中
Asymptotic approximations for Bloch waves and topological mode steering in a planar array of Neumann scatterers
论文作者
论文摘要
我们研究了平面中的诺伊曼散射器的周期性阵列的波散射的规范问题。相对于晶格时期，散射器的特征长度尺寸被认为很小。我们利用匹配的渐近扩展的方法以及傅立叶级数表示，创建了一种有效，准确的数值方法，以通过无限的散点器阵列来查找与Floquet-Bloch波相关的分散曲线。该方法将自己用于指导有限阵列的散射问题，我们在拓扑波物理学的局部示例中说明了这些渐近表示的灵活性。
We study the canonical problem of wave scattering by periodic arrays, either of infinite or finite extent, of Neumann scatterers in the plane; the characteristic lengthscale of the scatterers is considered small relative to the lattice period. We utilise the method of matched asymptotic expansions, together with Fourier series representations, to create an efficient and accurate numerical approach for finding the dispersion curves associated with Floquet-Bloch waves through an infinite array of scatterers. The approach lends itself to direct scattering problems for finite arrays and we illustrate the flexibility of these asymptotic representations on topical examples from topological wave physics.
