New perspective on chiral exceptional points with application to discrete photonics
arXiv:2104.11730 · doi:10.1063/5.0045459
Abstract
Chiral exceptional points (CEPs) have been shown to emerge in traveling wave resonators via asymmetric back scattering from two or more nano-scatterers. Here, we provide a new perspective on the formation of CEPs based on the coupled oscillator model. Our approach provides an intuitive understanding for the modal coalescence that signals the emergence of CEPs, and emphasizes the role played by dissipation throughout this process. In doing so, our model also unveils an otherwise unexplored connection between CEPs and other types of exceptional points associated with parity-time symmetric photonic arrangements. In addition, our model also explains qualitative results observed in recent experimental work involving CEPs. Importantly, the tight-binding nature of our approach allows us to extend the notion of CEP to discrete photonics setups that consist coupled resonator and waveguide arrays, thus opening new avenues for exploring the exotic features of CEPs in conjunction with other interesting physical effects such as nonlinearities and topological protections.
7 pages, 2 figures
References in corpus (5)
- Controlled Manipulation of Mode Splitting in an Optical Microcavity by Two Rayleigh Scatterers
- Topological non-Hermitian origin of surface Maxwell waves
- Theory of Coupled Resonator Optical Waveguides (CROW) Exhibiting High Order Exceptional Points of Degeneracy
- Liouvillian exceptional points of any order in dissipative linear bosonic systems: Coherence functions and switching between and anti- symmetries
- Exceptional points and Bloch oscillations in non-Hermitian lattices with unidirectional hopping