Scattering-free pulse propagation through invisible non-Hermitian disorder

Abstract

We demonstrate a new design principle for unidirectionally invisible non-Hermitian structures that are not only invisible for one specific wavelength but rather for a broad frequency range. Our idea is based on the concept of constant-intensity waves, which can propagate even through highly disordered media without back-scattering or intensity variations. Contrary to already existing invisibility studies, our new design principle requires neither a specific symmetry (like $\mathcal{P}\mathcal{T}$-symmetry) nor periodicity, and can thus be applied in a much wider context. This generality combined with broadband frequency stability allows a pulse to propagate through a disordered medium as if the medium was entirely uniform.

arXiv comment7 pages, 7 figures, including appendix

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Cited by in corpus (10)

• Non-Hermitian disorder in two-dimensional optical lattices
• Theory of reflectionless scattering modes
• Shape-preserving beam transmission through non-Hermitian disordered lattices
• Transforming space with non-Hermitian dielectrics
• Invisible non-Hermitian potentials in discrete-time photonic quantum walks
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials
• Controlling wave-front shape and propagation time with tunable disordered non-Hermitian multilayers
• Constant intensity acoustic propagation in the presence of non-uniform properties and impedance discontinuities: Hermitian and non-Hermitian solutions
• Light confinement by local index tailoring in inhomogeneous dielectrics
• Balancing gain and loss in symmetrised multi-well potentials