Reflectionless and invisible potentials in photonic lattices
arXiv:1710.04425 · doi:10.1364/OL.42.003229
Abstract
An arbitrarily-shaped optical potential on a discrete photonic lattice, which transversely drifts at a speed larger than the maximum one allowed by the light cone of the lattice band, becomes reflectionless. Such an intriguing result, which arises from the discrete translational symmetry of the lattice, is peculiar to discretized light and does not have any counterpart for light scattering in continuous optical media. A drifting non-Hermitian optical potential of the Kramers-Kronig type is also an invisible potential, i.e. a discrete optical beam crosses the drifting potential without being distorted, delayed nor advanced.
arXiv comment6 pages, 3 figures
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Cited by in corpus (7)
- Spatial Kramers-Kronig relation and controlled unidirectional reflection in cold atoms
- Invisible non-Hermitian potentials in discrete-time photonic quantum walks
- Non-Hermitian invisibility in tight-binding lattices
- Bound states of moving potential wells in discrete wave mechanics
- Algebraic localization-delocalization phase transition in moving potential wells on a lattice
- Refractionless propagation of discretized light
- Chiral excitation and effective bandwidth enhancement in tilted coupled optical waveguide lattices