论文标题
Varrcwa：一种自适应高阶严格耦合波分析方法
VarRCWA: An Adaptive High-Order Rigorous Coupled Wave Analysis Method
论文作者
论文摘要
半分析方法，例如严格的耦合波分析，对于光子结构的数值分析至关重要。与其他方法相比，它们提供了更快的计算，尤其是对于具有恒定横截面形状的结构（例如元表单元）。但是，当横截面形状甚至在温和的变化（例如锥度）变化时，现有的半分析方法会遭受高计算成本。我们表明，现有方法可以看作是关于结构的横截面变化的零阶近似。相反，我们相对于横截面变化得出了高阶扰动膨胀。基于此扩展，我们提出了一种新的半分析方法，即使存在大型横截面变化，该方法即使在存在大型的情况下也可以迅速计算。此外，我们设计了一种算法，该算法会自动以实现用户指定准确性水平的方式自动离散结构，同时降低计算成本。
Semi-analytical methods, such as rigorous coupled wave analysis, have been pivotal for numerical analysis of photonic structures. In comparison to other methods, they offer much faster computation, especially for structures with constant cross-sectional shapes (such as metasurface units). However, when the cross-sectional shape varies even mildly (such as a taper), existing semi-analytical methods suffer from high computational cost. We show that the existing methods can be viewed as a zeroth-order approximation with respect to the structure's cross-sectional variation. We instead derive a high-order perturbative expansion with respect to the cross-sectional variation. Based on this expansion, we propose a new semi-analytical method that is fast to compute even in presence of large cross-sectional shape variation. Furthermore, we design an algorithm that automatically discretizes the structure in a way that achieves a user specified accuracy level while at the same time reducing the computational cost.
