Propagation of light through amplifying honeycomb photonic lattice

Abstract

We consider light propagation through a ballistic amplifying photonic honeycomb lattice below the lasing threshold. Two sublattices of the system are formed by the wave-guides with different complex dielectric permittivities, which results in the non-Hermitian Dirac equation for electromagnetic field. We reveal that there exists a critical length of the amplifying region for which the photonic lattice exhibits an amplifier to generator transition. The transmission and reflection probabilities at the normal angle of incidence are strongly enhanced at a critical length of the system. We also comment on the sensitivity of amplification to the direction of incident light and the thickness of the amplifying region.

arXiv commentTo appear in Physical Review A

References in corpus (20)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Chiral tunneling and the Klein paradox in graphene
• Topological Photonics
• Topological Photonics
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Symmetry and Topology in Non-Hermitian Physics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Coherent Perfect Absorbers: Time-reversed Lasers
• Hall Effect of Light
• PT-symmetric laser-absorber
• Klein tunneling in graphene: optics with massless electrons
• Topological states of non-Hermitian systems
• Robust light transport in non-Hermitian photonic lattices
• Extremal transmission at the Dirac point of a photonic band structure
• Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
• Prefect Klein tunneling in anisotropic graphene-like photonic lattices
• Exceptional points in topological edge spectrum of PT symmetric domain walls
• Lasing at the K-points of a honeycomb plasmonic lattice
• Klein tunneling in driven-dissipative photonic graphene