Discrete surface solitons in semi-infinite binary waveguide arrays

Abstract

We analyze discrete surface modes in semi-infinite binary waveguide arrays, which can support simultaneously two types of discrete solitons. We demonstrate that the analysis of linear surface states in such arrays provides important information about the existence of nonlinear surface modes and their properties. We find numerically the families of both discrete surface solitons and nonlinear Tamm (gap) states and study their stability properties.

3 pages, 4 figures, submitted to Opt. Lett

References in corpus (6)

• Observation of surface gap solitons in semi-infinite waveguide arrays
• Bifurcations and stability of gap solitons in periodic potentials
• Discrete gap solitons in modulated waveguide arrays
• Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays
• Generation and stability of discrete gap solitons
• Observation of discrete gap solitons in binary waveguide arrays

Cited by in corpus (15)

• Observation of two-dimensional surface solitons in anisotropic waveguide arrays
• Edge-localized states in quantum one-dimensional lattices
• Observation of two-dimensional defect surface solitons
• Interface solitons in one-dimensional locally-coupled lattice systems
• Dissipative surface solitons in periodic structures
• Dynamics of surface solitons at the edge of chirped optical lattices
• Nonlinear optics and light localization in periodic photonic lattices
• Discrete solitons and scattering of lattice waves in guiding arrays with a nonlinear $\mathcal{P}\mathcal{T}$-symmetric defect
• Observation of surface solitons in chirped waveguide arrays
• Bulk and surface magnetoinductive breathers in binary metamaterials
• Observation of two-dimensional superlattice solitons
• Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices
• Surface solitons in quasiperiodic nonlinear photonic lattices
• Surface solitons in trilete lattices
• Controlled transport based on multiorbital Aharonov-Bohm photonic caging