Bidirectional invisibility in Kramers-Kronig optical media

Abstract

A broad class of planar dielectric media with complex permittivity profiles that are fully invisible, for both left and right incidence sides, is introduced. Such optical media are locally isotropic, non-magnetic and belong to the recently discovered class of Kramers-Kronig media [{\it Nature Photon.} 9, 436 (2015)], i.e. the spatial profiles of the real and imaginary parts of the dielectric permittivity are related each other by a Hilbert transform. The transition from unidirectional to bidirectional invisibility, and the possibility to realize sharp reflection above a cut-off incidence angle, are also discussed.

arXiv comment4 figures, to appear in Optics Letters

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• Quasi-Exactly Solvable Scattering Problems, Exactness of the Born Approximation, and Broadband Unidirectional Invisibility in Two Dimensions
• Transfer-matrix formulation of the scattering of electromagnetic waves and broadband invisibility in three dimensions
• Invisible non-Hermitian potentials in discrete-time photonic quantum walks
• Transfer matrix for long-range potentials
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• Non-Hermitian invisibility in tight-binding lattices
• Scattering of accelerated wave packets
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• Consequences of nonreciprocity in reflection from a truncated spatial Kramers-Kronig medium
• Potentials with Identical Scattering Properties Below a Critical Energy