Premium
High‐order exceptional points and enhanced sensing in subwavelength resonator arrays
Author(s) -
Ammari Habib,
Davies Bryn,
Hiltunen Erik Orvehed,
Lee Hyundae,
Yu Sanghyeon
Publication year - 2021
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12349
Subject(s) - eigenvalues and eigenvectors , resonator , sensitivity (control systems) , order (exchange) , point (geometry) , range (aeronautics) , physics , topology (electrical circuits) , optics , mathematics , quantum mechanics , geometry , materials science , electronic engineering , combinatorics , engineering , composite material , finance , economics
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.