PT Metamaterials via Complex-Coordinate Transformation Optics

Abstract

We extend the transformation-optics paradigm to a complex spatial coordinate domain, in order to deal with electromagnetic metamaterials characterized by balanced loss and gain, giving special emphasis to parity-time (PT) symmetric metamaterials. We apply this general theory to complex-source-point radiation and anisotropic transmission resonances, illustrating the capability and potentials of our approach in terms of systematic design, analytical modeling and physical insights into complex-coordinate wave-objects and resonant states.

5 pages, 3 figures; minor revisions in the text; supplementary material available online

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Cited by in corpus (56)

• Non-Hermitian Physics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Sensing with exceptional surfaces: combining sensitivity with robustness
• PT-Symmetric Plasmonic Metamaterials
• Theory of reflectionless scattering modes
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Rational Solitons in the Parity-Time-Symmetric Nonlocal Nonlinear Schrödinger Model
• Gauge Field Optics with Anisotropic Media
• Tunneling of Obliquely-Incident Waves through PT-Symmetric Epsilon-Near-Zero Bi-Layers
• Nonlocal gap solitons in PT-symmetric periodic potentials with defocusing nonlinearity
• $\mathcal{P}\mathcal{T}$-Symmetry-Induced Wave Confinement and Guiding in Epsilon-Near-Zero Metamaterials
• Parity-time symmetry in optical microcavity systems
• Theory of Exceptional Points of Degeneracy in Uniform Coupled-Waveguides and Balance of Gain and Loss
• Permanent Rabi oscillations in coupled exciton-photon systems with PT-symmetry
• Chiral metamaterials with PT symmetry and beyond
• Parity-time symmetry from stacking purely dielectric and magnetic slabs
• Coherent optical control of polarization with a critical metasurface
• Exceptional Points of Degeneracy in Periodic Coupled Waveguides and the Interplay of Gain and Radiation Loss: Theoretical and Experimental Demonstration
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Supersymmetry generated one-way invisible PT-symmetric optical crystals
• On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT-and non-PT-symmetric potentials
• Non-Hermitian tight-binding network engineering
• PT-symmetry in optics beyond the paraxial approximation
• Wave propagation in complex coordinates
• Using PT-symmetry for switching applications
• Exceptional points of degeneracy and $\mathcal{P}\mathcal{T}$-symmetry in photonic coupled chains of scatterers
• Spontaneous Parity-Time Symmetry Breaking in Moving Media
• Statistical PT-symmetric lasing in an optical fiber network
• Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation
• Anti-$\mathcal{P}\mathcal{T}$-symmetric Kerr gyroscope
• PT-symmetric chiral metamaterials: Asymmetric effects and PT-phase control
• Unidirectional zero reflection as gauged parity-time symmetry
• Impact of near-PT symmetry on exciting solitons and interactions based on a complex Ginzburg-Landau model
• Magnified imaging based on non-Hermitian nonlocal cylindrical metasurfaces
• Exact solution of a non-Hermitian $\mathcal{PT}$-symmetric Heisenberg spin chain
• Non-Hermiticity-Induced Wave Confinement and Guiding in Loss-Gain-Loss Three-Layer Systems
• Transforming space with non-Hermitian dielectrics
• Quasinormal mode analysis of chiral power flow from linearly polarized dipole emitters coupled to index-modulated microring resonators close to an exceptional point
• Accessible phases via wave impedance engineering with PT-symmetric metamaterials
• Quantum decay and amplification in a non-Hermitian unstable continuum
• Quantum optical effective-medium theory for layered metamaterials
• Launching and Controlling Gaussian Beams from Point Sources via Planar Transformation Media
• A spin chain with non-Hermitian $\mathcal{PT}-$symmetric boundary couplings: exact solution, dissipative Kondo effect, and phase transitions on the edge
• Effects of the third-order dispersion on continuous waves in complex potentials
• Unidirectional wave propagation in media with complex principal axes
• Parity-Time Symmetry and Exceptional points: A Tutorial
• Frozen Mode Regime in an Optical Waveguide With Distributed Bragg Reflector
• Third Order Modal Exceptional Degeneracy in Waveguides with Glide-Time Symmetry
• Robust PT symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity
• Electromagnetic Eigenvalue Problems and Nonhermitian Effects in Linear and Saturable Scattering
• Analytic Materials
• Exotic light transition between superluminal and subliminal group velocity in a $\mathcal{P}\mathcal{T}$ coupled slab waveguide
• PT-symmetric and antisymmetric nonlinear states in a split potential box
• Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations
• Balancing gain and loss in symmetrised multi-well potentials
• Transformation-Optics-Based Design of a Metamaterial Radome for Extending the Scanning Angle of a Phased Array Antenna