Reflectionless and invisible potentials in photonic lattices

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.

6 pages, 3 figures

References in corpus (5)

• SUSY-inspired one-dimensional transformation optics
• Observation of supersymmetric scattering in photonic lattices
• Bidirectional invisibility in Kramers-Kronig optical media
• Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
• Reflectionless Potentials for Difference Schrödinger Equations

Cited by in corpus (3)

• Invisible non-Hermitian potentials in discrete-time photonic quantum walks
• Non-Hermitian invisibility in tight-binding lattices
• Chiral excitation and effective bandwidth enhancement in tilted coupled optical waveguide lattices