2006/02/18 by Debra L. Machacek, Elizabeth A. Foreman, Q.E. Hoq +6 · 1 citation
Computer Science · Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #nlin.PS
paper · pdf · doi:10.1103/physreve.74.036602
14 pages, 4 figures
arxiv created 2006/02/18 · openalex publication_date 2006/09/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We introduce an inhomogeneously nonlinear Schrödinger lattice, featuring a defocusing segment, a focusing segment and a transitional interface between the two. We illustrate that such inhomogeneous settings present vastly different dynamical behavior in the vicinity of the interface than the one expected in their homogeneous counterparts. We analyze the relevant stationary states, as well as their stability, by means of perturbation theory and linear stability analysis. We find good agreement with the numerical findings in the vicinity of the anticontinuum limit. For larger values of the coupling, we follow the relevant branches numerically and show that they terminate at values of the coupling strength which are larger for more extended solutions. The dynamical development of relevant instabilities is also monitored in the case of unstable solutions.