论文标题
最小介电谐振器模式卷
Minimum Dielectric-Resonator Mode Volumes
论文作者
论文摘要
我们表明，可以通过Lagrangian双重性计算介电谐振器模式的全局下限。最先进的设计依赖于尖锐的技巧，但是在纳米尺寸的特征尺寸下，这种结构似乎是高度最佳的，我们证明计算倒数设计提供了夸大的命令，可以改善。我们的界限可以应用于在多个频率上同时共振的几何形状，用于高效的非线性磁态应用，我们确定了必须伴随此类多耐药结构的不可避免的惩罚。
We show that global lower bounds to the mode volume of a dielectric resonator can be computed via Lagrangian duality. State-of-the-art designs rely on sharp tips, but such structures appear to be highly sub-optimal at nanometer-scale feature sizes, and we demonstrate that computational inverse design offers orders-of-magnitude possible improvements. Our bound can be applied for geometries that are simultaneously resonant at multiple frequencies, for high-efficiency nonlinear-optics applications, and we identify the unavoidable penalties that must accompany such multiresonant structures.
