Light dynamics in nonlinear trimers and twisted multicore fibers

Abstract

Novel photonic structures such as multi-core fibers and graphene based arrays present unique opportunities to manipulate and control the propagation of light. Here we discuss nonlinear dynamics for structures with a few (2 to 6) elements for which linear and nonlinear properties can be tuned. Specifically we show how nonlinearity, coupling, and parity-time PT symmetric gain/loss relate to existence, stability and in general, dynamical properties of nonlinear optical modes. The main emphasis of our presentation will be on systems with few degrees of freedom, most notably couplers, trimers and generalizations thereof to systems with 6 nodes.

11 pages, 5 figures, Submitted to JNOPM

References in corpus (4)

• Making Sense of Non-Hermitian Hamiltonians
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Hamiltonian formulation of the standard $\mathcal{P}\mathcal{T}$-symmetric nonlinear Schrödinger dimer
• $\mathcal{P}\mathcal{T}$ phase control in circular multicore fibers

Cited by in corpus (8)

• Vortex solitons in twisted circular waveguide arrays
• PT-symmetry in nonlinear twisted multi-core fibers
• Modulation Instability of Discrete Angular Momentum in Coupled Fiber Rings
• Standing Wave Solutions in Twisted Multicore Fibers
• Integrability and trajectory confinement in $\mathcal{P}\mathcal{T}$-symmetric waveguide arrays
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Spatiotemporal dynamics in a twisted, circular waveguide array
• Observation of rotation-induced light localization in waveguide arrays