Dissipative defect modes in periodic structures

Abstract

We show that periodic optical lattices imprinted in cubic nonlinear media with strong two-photon absorption and localized linear gain landscapes support stable dissipative defect modes in both focusing and defocusing media. Their shapes and transverse extent are determined by the propagation constant that belongs to a gap of the lattice spectrum which, in turn, is determined by the relation between gain and losses. One-hump and two-hump dissipative defect modes are obtained.

4 pages, 3 figures

References in corpus (1)

• Bragg guiding of domain-like nonlinear modes and kink arrays in lower-index core structures

Cited by in corpus (26)

• Nonlocal bright spatial solitons in defocusing Kerr media supported by PT symmetric potentials
• The variety of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses
• Nonlinear localized modes in PT-symmetric Rosen-Morse potential well
• Self-localization of polariton condensates in periodic potentials
• Radially symmetric and azimuthally modulated vortex solitons supported by localized gain
• Solitons in a medium with linear dissipation and localized gain
• Symmetry breaking and multi-hump solitons in inhomogeneous gain landscapes
• Two-dimensional dissipative solitons supported by localized gain
• Nonlocal gap solitons in parity-time symmetric optical lattices
• Nonlinear localized modes in PT-symmetric optical media with competing gain and loss
• Rotating vortex solitons supported by localized gain
• Localized modes and dark solitons sustained by nonlinear defects
• Soliton dynamics in symmetric and non-symmetric complex potentials
• Dynamic power balance for nonlinear waves in unbalanced gain and loss landscapes
• Stable surface solitons in truncated complex potentials
• Localized modes in dissipative lattice media: An overview
• Vortex soliton tori with multiple nested phase singularities in dissipative media
• Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
• Vortex twins and anti-twins supported by multi-ring gain landscapes
• Solitons supported by localized parametric gain
• Fundamental and vortex dissipative quadratic solitons supported by spatially localized gain
• Dissipative quadratic solitons supported by a localized gain
• Topological light bullets supported by spatio-temporal gain
• Two-dimensional intra-band solitons in lattice potentials with local defects and self-focusing nonlinearity
• Soliton generation by counteracting gain-guiding and self-bending
• Existence and Stability of Dissipative Solitons in a Dual-Waveguide Lattice with Linear Gain and Nonlinear Losses