The goal of this paper is to advance the development of wave-guiding subwavelength crystals by developing designs whose properties are stable with respect to imperfections in their construction. In particular, we make use of a locally resonant subwavelength structure, composed of a chain of high-contrast resonators, to trap waves at deep subwavelength scales. We first study an infinite chain of subwavelength resonator dimers and define topological quantities that capture the structure's wave transmission properties. Using this for guidance, we design a finite crystal that is shown to have wave localization properties, at subwavelength scales, that are robust with respect to random imperfections.

本文的目的是通过开发在结构缺陷方面性能稳定的设计来推进波导亚波长晶体的开发。特别是，我们利用由高对比度谐振器链组成的局部谐振子波长结构来捕获深亚波长尺度的波。我们首先研究亚波长谐振器二聚体的无限链，并定义捕获该结构的波传输特性的拓扑量。以此为指导，我们设计了一种有限晶体，该晶体显示出在亚波长范围内具有相对于随机缺陷而言稳健的波定位特性。