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Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices

2020/09/27 by C. Yüce, Cem Yuce, Yuce, Cem +2
Physics and Astronomy · #Advanced Fiber Laser Technologies #Applied Physics (physics.app-ph) #FOS: Physical sciences #Nonlinear Photonic Systems #Optics (physics.optics) #Other Condensed Matter (cond-mat.other) #Quantum Mechanics and Non-Hermitian Physics #cond-mat.other #physics.app-ph #physics.optics

paper · pdf · doi:10.48550/arxiv.2009.12880

arxiv created 2020/09/27 · openalex publication_date 2020/09/27 · arxiv updated 2020/09/29 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

Abstract

We construct localized beams that are located at the edge of a non-Hermitian Glauber Fock (NGF) lattice made of coupled waveguides and can propagate for a long distance without almost no diffraction. Specifically, we calculate the closed-form of the eigenstates at the exceptional point of a semi-infinite NGF lattice composed of waveguides which are coupled in a unidirectional manner. We use the closed-form solution to construct the non-diffracting beams in finite NGF lattices. We provide a numerical approach to find other lattices that are capable of supporting non-diffracting beams at an exceptional point.

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