Surface solitons in two-dimensional chirped photonic lattices

TL;DR

This paper investigates how chirped two-dimensional photonic lattices influence surface modes and solitons, revealing that lattice chirp can significantly alter mode localization and lower the power threshold for surface solitons.

Contribution

It introduces the effect of lattice chirp on surface modes and solitons in 2D photonic lattices, showing control over mode localization and threshold power.

Findings

Lattice chirp dramatically changes mode localization conditions.

Lattice chirp lowers the threshold power for surface solitons.

Chirp manipulation allows control over mode position and localization.

Abstract

We study surface modes in semi-infinite chirped two-dimensional photonic lattices in the frame- work of an effective discrete nonlinear model. We demonstrate that the lattice chirp can change dramatically the conditions for the mode localization near the surface, and we find numerically the families of surface modes, in linear lattices, and discrete surface solitons, in nonlinear lattices. We demonstrate that, in a sharp contrast to one-dimensional discrete surface solitons, in two-dimensional lattices the mode threshold power is lowered by the action of both the surface and lattice chirp. By manipulating with the lattice chirp, we can control the mode position and its localization.