Pyramid diffraction in parity-time-symmetric optical lattices

Abstract

Nonlinear dynamics of wave packets in two-dimensional parity-time-symmetric optical lattices near the phase-transition point are analytically studied. A novel fourth-order equation is derived for the envelope of these wave packets. A pyramid diffraction pattern is demonstrated in both the linear and nonlinear regimes. Blow-up is also possible in the nonlinear regime for both focusing and defocusing nonlinearities.

4 pages, 3 figures

References in corpus (6)

• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Stability analysis for solitons in PT-symmetric optical lattices
• Stability of solitons in PT-symmetric couplers
• Breathers in PT-symmetric optical couplers
• Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase transition point

Cited by in corpus (8)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials
• Partially-PT-symmetric optical potentials with all-real spectra and soliton families in multi-dimensions
• Stationary modes and integrals of motion in nonlinear lattices with PT-symmetric linear part
• Nonlinear wave dynamics near phase transition in $\mathcal{P}\mathcal{T}$-symmetric localized potentials
• Waveguides with Absorbing Boundaries: Nonlinearity Controlled by an Exceptional Point and Solitons
• Metastable two-component solitons near an exceptional point