PT-Symmetric Talbot Effects

Abstract

We show that complex PT-symmetric photonic lattices can lead to a new class of self-imaging Talbot effects. For this to occur, we find that the input field pattern, has to respect specific periodicities which are dictated by the symmetries of the system. While at the spontaneous PT-symmetry breaking point, the image revivals occur at Talbot lengths governed by the characteristics of the passive lattice, at the exact phase it depends on the gain and loss parameter thus allowing one to control the imaging process.

5 pages, 3 figures

References in corpus (6)

• Making Sense of Non-Hermitian Hamiltonians
• Coherent Perfect Absorbers: Time-reversed Lasers
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
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Cited by in corpus (10)

• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling
• Interplay between Fano resonance and $\mathcal{P}\mathcal{T}$ symmetry in non-Hermitian discrete systems
• Coherent perfect absorber and laser in purely imaginary conjugate metamaterials
• Talbot self-imaging in $\mathcal{P}\mathcal{T}$-symmetric complex crystals
• Optical fluxes in coupled $\mathcal{P}\mathcal{T}$-symmetric photonic structures
• Pseudo PT symmetric lattice