Bulk vortices and half-vortex surface modes in parity-time-symmetric media

Abstract

We demonstrate that in-bulk vortex localized modes, and their surface half-vortex ("horseshoe") counterparts self-trap in two-dimensional (2D) nonlinear optical systems with $\mathcal{P}\mathcal{T}$-symmetric photonic lattices (PLs). The respective stability regions are identified in the underlying parameter space. The in-bulk states are related to truncated nonlinear Bloch waves in gaps of the PL-induced spectrum. The basic vortex and horseshoe modes are built, severally, of four and three beams with appropriate phase shifts between them. Their stable complex counterparts, built of up to 12 beams, are reported too.

5 pages, 4 figures

References in corpus (7)

• Making Sense of Non-Hermitian Hamiltonians
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Visualization of Branch Points in PT-Symmetric Waveguides
• Solitons in PT-symmetric nonlinear lattices
• Observation of surface gap solitons in semi-infinite waveguide arrays
• PT-Symmetric Talbot Effects
• Observation of two-dimensional surface solitons in anisotropic waveguide arrays

Cited by in corpus (2)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Discrete solitons and vortices on two-dimensional lattices of $\mathcal{P}\mathcal{T}$-symmetric couplers