Discrete solitons in waveguide arrays with long-range linearly coupled effect

Abstract

We study the influences to the discrete soliton (DS) by introducing linearly long-range nonlocal interactions, which give rise to the off-diagonal elements of the linearly coupled matrix in the discrete nonlinear schrodinger equation to be filled by non-zero terms. Theoretical analysis and numerical simulations find that the DS under this circumstance can exhibit strong digital effects: the fundamental DS is a narrow one, which occupies nearly only one waveguide, the dipole and double-monopole solitons, which occupy two waveguides, can be found in self-focusing and -defocusing nonlinearities, respectively. Stable flat-top solitons and their stagger counterparts, which occupy a controllable number of waveguides, can also be obtained through this system. Such digital properties may give rise to additional data processing applications and have potential in fabricating digital optical devices in all-optical networks.

arXiv comment8 pages, and 6 figures

References in corpus (7)

• Solitons in nonlinear lattices
• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Light propagation and localization in modulated photonic lattices and waveguides
• Solitons in combined linear and nonlinear lattice potentials
• Subwavelength Plasmonic Lattice Solitons in Arrays of Metallic Nanowires
• Subwavelength modulational instability and plasmon oscillons in nanoparticle arrays
• Subwavelength plasmonic kinks in arrays of metallic nanoparticles

Cited by in corpus (2)

• Discrete solitons and vortices on two-dimensional lattices of $\mathcal{P}\mathcal{T}$-symmetric couplers
• Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings