Scattering of gap solitons by PT-symmetric defects

Abstract

The resonant scattering of gap solitons (GS) of the periodic nonlinear Schrödinger equation with a localized defect which is symmetric under the parity and the time-reversal (PT) symmetry, is investigated. It is shown that for suitable amplitudes ratios of the real and imaginary parts of the defect potential the resonant transmission of the GS through the defect becomes possible. The resonances occur for potential parameters which allow the existence of localized defect modes with the same energy and norm of the incoming GS. Scattering properties of GSs of different band-gaps with effective masses of opposite sign are investigated. The possibility of unidirectional transmission and blockage of GSs by PT defect, as well as, amplification and destruction induced by multiple reflections from two PT defects, are also discussed.

References in corpus (8)

• PT-Symmetric Electronics
• Solitons in PT-symmetric nonlinear lattices
• PT-symmetry with a system of three-level atoms
• Observation of Defect States in PT-Symmetric Optical Lattices
• Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
• Long-living Bloch oscillations of matter waves in optical lattices
• Resonant scattering of matter wave gap-solitons by optical lattice defects
• Symmetry breaking and restoring wave transmission in diode-antidiode double chains

Cited by in corpus (6)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Soliton dynamics in symmetric and non-symmetric complex potentials
• Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
• Gap solitons with null-scattering
• Emergence of Exceptional Points in Periodic Metastructures with Hidden PT-symmetric Defects