Nonlinear localized modes in Glauber-Fock photonic lattices

TL;DR

This paper explores the existence and excitation conditions of localized nonlinear modes in Glauber-Fock photonic lattices, revealing discrepancies between stationary and dynamical thresholds and proposing a new combined definition.

Contribution

It provides the first detailed analysis of nonlinear localized modes in Glauber-Fock lattices, including a new threshold definition based on both stationary and dynamical considerations.

Findings

Discovered strong disagreement between stationary and dynamical excitation thresholds.

Numerically characterized nonlinear modes centered at each lattice site.

Proposed a new combined threshold definition for mode excitation.

Abstract

We study a nonlinear Glauber-Fock lattice and the conditions for the excitation of localized structures. We investigate the particular linear properties of these lattices, including linear localized modes. We investigate numerically nonlinear modes centered in each site of the lattice. We found a strong disagreement of the general tendency between the stationary and the dynamical excitation thresholds, and we give a new definition based on both considerations.