Systems exhibiting degeneracies known as exceptional points have remarkable properties with powerful applications, particularly in sensor design. These degeneracies are formed when eigenstates coincide, and the remarkable effects are exaggerated by increasing the order of the exceptional point (that is, the number of coinciding eigenstates). In this work, we use asymptotic techniques to study PT-symmetric arrays of many subwavelength resonators and search for high-order asymptotic exceptional points. This analysis reveals the range of different configurations that can give rise to high-order exceptional points and provides efficient techniques to compute them. We also show how systems exhibiting high-order exceptional points can be used for sensitivity enhancement.

中文翻译：

---

亚波长谐振器阵列中的高阶异常点和增强传感

表现出被称为异常点的退化的系统具有卓越的特性，具有强大的应用，特别是在传感器设计中。这些退化是在本征态重合时形成的，并且通过增加异常点的阶数（即重合本征态的数量）来夸大显着的效果。在这项工作中，我们使用渐近技术来研究许多亚波长谐振器的 PT 对称阵列并搜索高阶渐近异常点。该分析揭示了可以产生高阶异常点的不同配置的范围，并提供了计算它们的有效技术。我们还展示了如何使用具有高阶异常点的系统来增强灵敏度。