Parity-time symmetry from stacking purely dielectric and magnetic slabs

Abstract

We show that Parity-time symmetry in matching electric permittivity to magnetic permeability can be established by considering an effective Parity operator involving both mirror symmetry and coupling between electric and magnetic fields. This approach extends the discussion of Parity-time symmetry to the situation with more than one material potential. We show that the band structure of a one-dimensional photonic crystal with alternating purely dielectric and purely magnetic slabs can undergo a phase transition between propagation modes and evanescent modes when the balanced gain/loss parameter is varied. The cross-matching between different material potentials also allows exceptional points of the constitutive matrix to appear in the long wavelength limit where they can be used to construct ultrathin metamaterials with unidirectional reflection.

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• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Exceptional points of degeneracy and $\mathcal{P}\mathcal{T}$-symmetry in photonic coupled chains of scatterers
• Anomalous Light Scattering by Topological $\mathcal{P}\mathcal{T}$-symmetric Particle Arrays
• Unidirectional zero reflection as gauged parity-time symmetry
• Non-Bloch band theory of generalized eigenvalue problems
• Acceleration toward polarization singularity inspired by relativistic ExB drift
• Coherent perfect absorption and laser modes in a cylindrical structure of conjugate metamaterials
• Unidirectional transport of wave packets through tilted discrete breathers in nonlinear lattices with asymmetric defects
• Acoustic circular dichroism in a three-dimensional chiral metamaterial
• Revisit the Poynting vector in PT-symmetric coupled waveguides
• Lasing at a Stationary Inflection Point
• Non-Hermitian guided modes and exceptional points using loss-free negative-index materials
• Non-Hermitian physics and engineering in silicon photonics
• Genetic optimization Invents non-Hermitian potentials for Asymmetric Reflectivity