Litcius/Paper detail

High‐order exceptional points and enhanced sensing in subwavelength resonator arrays

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen, Hyundae Lee, Sanghyeon Yu

2020Studies in Applied Mathematics28 citationsDOI

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 ‐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.

Topics & Concepts

Eigenvalues and eigenvectorsResonatorSensitivity (control systems)Order (exchange)Point (geometry)Range (aeronautics)PhysicsTopology (electrical circuits)OpticsMathematicsQuantum mechanicsGeometryMaterials scienceElectronic engineeringCombinatoricsEngineeringComposite materialEconomicsFinanceQuantum Mechanics and Non-Hermitian PhysicsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies