Stable surface solitons in truncated complex potentials

Abstract

We show that surface solitons in the one-dimensional nonlinear Schrödinger equation with truncated complex periodic potential can be stabilized by linear homogeneous losses, which are necessary to balance gain in the near-surface channel arising from the imaginary part of potential. Such solitons become stable attractors when the strength of homogeneous losses acquires values from a limited interval and they exist in focusing and defocusing media. The domains of stability of surface solitons shrink with increase of the amplitude of imaginary part of complex potential.

3 pages, 4 figures,accepted by Optics Letters

References in corpus (5)

• Solitons in PT-symmetric nonlinear lattices
• Observation of surface gap solitons in semi-infinite waveguide arrays
• Nonlinearly-PT-symmetric systems: spontaneous symmetry breaking and transmission resonances
• Observation of two-dimensional surface solitons in anisotropic waveguide arrays
• Dissipative periodic waves, solitons and breathers of the nonlinear Schrodinger equation with complex potentials

Cited by in corpus (9)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Vector solitons in PT-symmetric lattices
• Unbreakable PT-symmetry of solitons supported by inhomogeneous defocusing nonlinearity
• Soliton dynamics in symmetric and non-symmetric complex potentials
• Mode pairs in $\mathcal{P}\mathcal{T}$-symmetric multimode waveguides
• Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
• Edge and bulk dissipative solitons in modulated PT-symmetric waveguide arrays
• Continuous families of non-Hermitian surface solitons
• Existence and Stability of Dissipative Solitons in a Dual-Waveguide Lattice with Linear Gain and Nonlinear Losses