Optical mesh lattices with PT-symmetry

Abstract

We investigate a new class of optical mesh periodic structures that are discretized in both the transverse and longitudinal directions. These networks are composed of waveguide arrays that are discretely coupled while phase elements are also inserted to discretely control their effective potentials and can be realized both in the temporal and the spatial domain. Their band structure and impulse response is studied in both the passive and parity-time (PT) symmetric regime. The possibility of band merging and the emergence of exceptional points along with the associated optical dynamics are considered in detail both above and below the PT-symmetry breaking point. Finally unidirectional invisibility in PT-synthetic mesh lattices is also examined along with possible superluminal light transport dynamics.

14 pages, 17 figures, published in Physical Review A

References in corpus (6)

• Making Sense of Non-Hermitian Hamiltonians
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• Unidirectional Nonlinear PT-symmetric Optical Structures
• A 2D Quantum Walk Simulation of Two-Particle Dynamics
• Discrete single-photon quantum walks with tunable decoherence

Cited by in corpus (8)

• Observation of Bloch oscillations in complex PT-symmetric photonic lattices
• Bragg solitons in nonlinear PT-symmetric periodic potentials
• Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
• Gyrating solitons in a necklace of optical waveguides
• Modulational instability in $\mathcal{P}\mathcal{T}$-symmetric Bragg grating structures with saturable nonlinearity
• Effects of Kerr medium in coupled cavities on quantum state transfer
• PT-symmetric microring lasers: Self-adapting broadband mode-selective resonators
• Nonclassical light at exceptional points of a quantum PT-symmetric two-mode system