论文标题
高度分散谐振系统的数学设计策略
A mathematical design strategy for highly dispersive resonator systems
论文作者
论文摘要
设计由许多小型谐振器组成的设备是一个具有挑战性的问题，可以轻松产生大量的计算成本。可以使用渐近技术来克服这种经常限制的因素吗？积分方法和渐近技术已被用来得出谐振器散射的简洁特征，但是是否可以将其推广到许多材料参数具有高度非线性频率依赖性的许多分散共振器的系统？在本文中，我们将卤化物钙钛矿谐振器作为一个示例。我们扩展了先前的工作，以展示如何在小半径的极限下简洁地建模有限数量的耦合谐振器。我们还展示了如何将这些结果用作逆设计策略的基础，即设计以特定频率产生共鸣的共振系统。
Designing devices composed of many small resonators is a challenging problem that can easily incur significant computational cost. Can asymptotic techniques be used to overcome this often limiting factor? Integral methods and asymptotic techniques have been used to derive concise characterisations for scattering by resonators, but can these be generalised to systems of many dispersive resonators whose material parameters have highly non-linear frequency dependence? In this paper, we study halide perovskite resonators as a demonstrative example. We extend previous work to show how a finite number of coupled resonators can be modelled concisely in the limit of small radius. We also show how these results can be used as the basis for an inverse design strategy, to design resonator systems that resonate at specific frequencies.
