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.

arXiv comment3 pages, 4 figures,accepted by Optics Letters

References in corpus (8)

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• 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
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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