Shape-preserving beam transmission through non-Hermitian disordered lattices

Abstract

We investigate the propagation of Gaussian beams through optical waveguide lattices characterized by correlated non-Hermitian disorder. In the framework of coupled mode theory, we demonstrate how the imaginary part of the refractive index needs to be adjusted to achieve perfect beam transmission, despite the presence of disorder. Remarkably, the effects of both diagonal and off-diagonal disorder in the waveguides and their couplings can be efficiently eliminated by our non-Hermitian design. Waveguide arrays thus provide an ideal platform for the experimental realization of non-Hermitian phenomena in the context of discrete photonics.

arXiv comment7 pages, 5 figures

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Cited by in corpus (10)

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• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Linear response theory of open systems with exceptional points
• Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{P}\mathcal{T}$ symmetry
• Transforming space with non-Hermitian dielectrics
• Anderson localization versus hopping asymmetry in a disordered lattice
• Invisible non-Hermitian potentials in discrete-time photonic quantum walks
• Non-Hermitian invisibility in tight-binding lattices
• Non-Hermitian off-diagonal disordered optical lattices
• Light confinement by local index tailoring in inhomogeneous dielectrics