High‐order exceptional points and enhanced sensing in subwavelength resonator arrays. Issue 2 (8th November 2020)

• Record Type: Journal Article
• Authors: Ammari, Habib; Davies, Bryn; Hiltunen, Erik Orvehed; Lee, Hyundae; Yu, Sanghyeon
• Is Part Of: Studies in applied mathematics. Volume 146:Issue 2(2021)
• Page Start: 440
• Page End: 462
• Publication Date: 2020-11-08
• Subjects: PT symmetry -- eigenvalue shift -- enhanced sensing -- high‐order exceptional points -- metamaterials -- subwavelength resonance; Mathematics -- Periodicals; Mathématiques -- Périodiques; Mathématique; Mathématique appliquée; Ressource Internet (Descripteur de forme); Périodique électronique (Descripteur de forme); 519
• DOI: 10.1111/sapm.12349
• Languages: English
• ISSNs: 0022-2526

Abstract

Abstract: 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 (i.e., the number of coincident 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 such 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.