Flat-band localization and self-collimation of light in photonic crystals

Abstract

We investigate the optical properties of a photonic crystal composed of a quasi-one-dimensional flat-band lattice array through finite-difference time-domain simulations. The photonic bands contain flat bands (FBs) at specific frequencies, which correspond to compact localized states as a consequence of destructive interference. The FBs are shown to be nondispersive along the $\Gamma \to X$ line, but dispersive along the $\Gamma \to Y$ line. The FB localization of light in a single direction only results in a self-collimation of light propagation throughout the photonic crystal at the FB frequency.

18 single-column pages, 7 figures including graphical toc

References in corpus (8)

• Observation of a localized flat-band state in a photonic Lieb lattice
• Atom-atom interactions around the band edge of a photonic crystal waveguide
• Experimental observation of strong photon localization in disordered photonic crystal waveguides
• Compact localized states and flatband generators in one dimension
• Transport in Sawtooth photonic lattices
• Photon transport enhanced by transverse Anderson localization in disordered superlattices
• Quantum localized states in photonic flat-band lattices
• Flat bands and compactons in mechanical lattices

Cited by in corpus (5)

• Perfect localization on flat band binary one-dimensional photonic lattices
• Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice
• Highly degenerate photonic flat bands arising from complete graph configurations
• Flux-mediated effective Su-Schrieffer-Heeger model in an impurity decorated diamond chain
• Crossed chiral band approximation for wideband self-collimation of light