Gyrating solitons in a necklace of optical waveguides

Abstract

We consider light pulses in a circular array of $2N$ coupled nonlinear optical waveguides. The waveguides are either hermitian or alternate gain and loss in a $\mathcal{P}\mathcal{T}$-symmetric fashion. Simple patterns in the array include a ring of $2N$ pulses travelling abreast, and a breather -- a string of pulses where all even and all odd waveguides flash in turn. In addition, the structure displays solitons gyrating around the necklace by switching from one waveguide to the next. Some of the gyrating solitons are stable while other ones are weakly unstable and evolve into gyrating multiflash strings. By tuning the gain-loss coefficient, the gyration of solitons in a nonhermitian array may be reversed without changing the direction of their translational motion.

12 pages, 4 sets of figures. To appear in PRA

References in corpus (6)

• Making Sense of Non-Hermitian Hamiltonians
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Breathers in PT-symmetric optical couplers
• Optical mesh lattices with PT-symmetry
• Discrete Cylindrical Vector Beam Generation from an Array of Optical Fibers
• Nonlinear multi-core waveguiding structures with balanced gain and loss

Cited by in corpus (4)

• Vortex solitons in twisted circular waveguide arrays
• Parity-time-symmetric vector rational rogue wave solutions in any n-component nonlinear Schrödinger models
• Integrability and trajectory confinement in $\mathcal{P}\mathcal{T}$-symmetric waveguide arrays
• Vortex solitons in star networks