Wave scattering on a domain wall in a chain of PT-symmetric couplers

Abstract

We study wave propagation in linear arrays composed of pairs of conjugate waveguides with balanced gain and loss, i.e. arrays of the PT-symmetric couplers, where the linear spectrum is known to feature high-frequency and low-frequency branches. We introduce a domain wall by switching the gain and loss in a half of the array, and analyze the scattering of linear waves on this defect. The analysis reveals two major effects: amplification of both reflected and transmitted waves, and excitation of the reflected and transmitted low-frequency and high-frequency waves by the incident high-frequency and low-frequency waves, respectively.

7 pages, 9 figures, Physical Review A, in press

References in corpus (9)

• Making Sense of Non-Hermitian Hamiltonians
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Visualization of Branch Points in PT-Symmetric Waveguides
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Stability of solitons in PT-symmetric couplers
• PT-Symmetric Wave Chaos
• Solitons in a chain of PT-invariant dimers
• Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains

Cited by in corpus (20)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Nonlinear switching and solitons in PT-symmetric photonic systems
• New topological invariants in non-Hermitian systems
• Observation of Defect States in PT-Symmetric Optical Lattices
• Nonlinear reversal of PT symmetric phase transition in a system of coupled semiconductor micro-ring resonators
• Breathers in PT-symmetric optical couplers
• Parity-time symmetry in optical microcavity systems
• Discrete solitons and vortices on two-dimensional lattices of $\mathcal{P}\mathcal{T}$-symmetric couplers
• Localized modes in ${\chi }^{(2)}$ media with $\PT$-symmetric localized potential
• Nonlinear PT-symmetric plaquettes
• Convective and absolute PT symmetry breaking in tight-binding lattices
• Interaction of sine-Gordon kinks and breathers with a $\mathcal{P}\mathcal{T}$-symmetric defect
• Exceptional points and photonic catastrophe
• Realizing PT-symmetric BEC subsystems in closed hermitian systems
• Staggered $\mathcal{P}\mathcal{T}$-symmetric ladders with cubic nonlinearity
• Integrable nonlinear parity-time symmetric optical oscillator
• Transport and localization of waves in ladder-shaped lattices with locally $\mathcal{P}\mathcal{T}$-symmetric potentials
• $\mathcal{P}\mathcal{T}$-symmetric ladders with a scattering core
• Superoscillatory PT-symmetric potentials
• Robust photon transmission in nonlinear parity-time-symmetric cavities