Exceptional Points of Resonant States on a Periodic Slab

Abstract

A special kind of degeneracies known as the exceptional points (EPs), for resonant states on a dielectric periodic slab, are investigated. Due to their unique properties, EPs have found important applications in lasing, sensing, unidirectional operations, etc. In general, EPs may appear in non-Hermitian eigenvalue problems, including those related to PT-symmetric systems and those for open dielectric structures (due to the existence of radiation loss). In this paper, we study EPs on a simple periodic structure: a slab with a periodic array of gaps. Using an efficient numerical method, we calculate the EPs and study their dependence on geometric parameters. Analytic results are obtained for the limit as the periodic slab approaches a uniform one. Our work provides a simple platform for further studies concerning EPs on dielectric periodic structures, their unusual properties and applications.

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Cited by in corpus (7)

• Exceptional points for resonant states on parallel circular dielectric cylinders
• Exceptional points in dielectric spheroid
• Indirect link between resonant and guided modes on uniform and periodic slabs
• Exceptional points in cylindrical elastic media with radiation loss
• Complex modes in an open lossless periodic waveguide
• Frequency perturbation theory of bound states in the continuum in a periodic waveguide
• High-order exceptional points and enhanced sensing in subwavelength resonator arrays