Nonlinearity-induced Band Gap Transmission in Dispersive and Flat Band Photonic Lattices

TL;DR

This paper investigates how nonlinear interactions enable or inhibit light transmission in photonic lattices with dispersive and flat bands, revealing threshold-dependent energy transfer and coupling behaviors.

Contribution

It demonstrates for the first time how Kerr nonlinearity induces selective light transport in flat and dispersive band photonic lattices, highlighting the contrasting behaviors.

Findings

Nonlinear Kerr effect enables phase-matched energy transfer in dispersive bands.

Transmission to flat band modes is inhibited by nonlinearity.

Light couples periodically to edge modes and spreads into the lattice with increasing nonlinearity.

Abstract

Nonlinear interactions in photonic non-dispersive (flat) bands remain largely unexplored, despite their potential to yield exotic phenomena. Here, we demonstrate nonlinearity-induced transport of light from a boundary waveguide into photonic lattices with dispersive and flat bands. For the one-dimensional lattice supporting a dispersive band, self-focusing Kerr nonlinearity effectively makes the boundary waveguide phase-matched with the lattice modes, enabling efficient energy transfer above a threshold input power. In contrast, such nonlinear transmission to the flat band modes is inhibited, as demonstrated in a rhombic lattice supporting an isolated flat band. Instead, as the nonlinearity increases, light couples periodically to the lattice edge mode and then gradually spreads into the lattice due to the excitation of the lower dispersive band.