Exceptional-point dynamics in photonic honeycomb lattices withPTsymmetry

2011/12/20 by Hamidreza Ramezani, Tsampikos Kottos, Vassilios Kovanis +1 · 5 citations
Mathematics · Physics and Astronomy · #Combinatorics #Conical surface #Diffraction #Geometry #Homogeneous space #Lattice (music) #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Optics #Photonics #Physics #Quantum Mechanics and Non-Hermitian Physics #physics.optics #quant-ph

paper · pdf · doi:10.1103/physreva.85.013818

published as PRA 85, 013818 (2012) · 7 pages, 5 figures

arxiv created 2011/12/20 · openalex publication_date 2012/01/17 · arxiv updated 2012/01/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We theoretically investigate the flow of electromagnetic waves in complex honeycomb photonic lattices with local PT symmetries. Such PT structure is introduced via a judicious arrangement of gain and loss across the honeycomb lattice, characterized by a gain and loss parameter \ensuremathγ. We found a class of conical diffraction phenomena where the formed cone is brighter and travels along the lattice with a transverse speed proportional to √\ensuremathγ.

Citations

• Chapter 2 Conical diffraction: Hamilton's diabolical point at the heart of crystal optics
• Gauging non-Hermitian Hamiltonians
• Making sense of non-Hermitian Hamiltonians
• Real Spectra in Non-Hermitian Hamiltonians HavingPTSymmetry
• Complex Extension of Quantum Mechanics

Cited by

• Laser-mode bifurcations induced by PT-breaking exceptional points
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Observation of Asymmetric Transport in Structures with Active Nonlinearities
• Bulk and edge-state arcs in non-Hermitian coupled-resonator arrays
• Optical symmetric pushing, uni-/bi-directional null, and pulling-pushing flipped forces in one dimensional PT-symmetric photonics