Third Order Modal Exceptional Degeneracy in Waveguides with Glide-Time Symmetry
arXiv:2110.14095 · doi:10.1103/PhysRevA.105.052230
Abstract
The dispersion of a three-way waveguide is engineered to exhibit exceptional modal characteristics. Two coupled waveguides with Parity-Time (PT) symmetry have been previously demonstrated to exhibit second order exceptional points of degeneracy (EPDs). In this work, we introduce and investigate a particular class of EPDs, applicable from radio frequency to optical wavelengths, whereby three coupled waveguides satisfy Glide-Time (GT) symmetry to exhibit a third order modal degeneracy with a real-valued wavenumber. GT symmetry involves glide symmetry of lossless/gainless components of the waveguide in addition to changing the sign of passive/active elements while applying a glide symmetry operation. This GT-symmetry condition allows three Floquet-Bloch eigenmodes of the structure to coalesce to a real-valued wavenumber at a single frequency, in addition of having one branch of the dispersion diagram with a purely real wavenumber. The proposed scheme may have applications including but not limited to distributed amplifiers, radiating arrays, and sensors, from radio frequency to optics.
References in corpus (31)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Experimental Study of Active LRC Circuits with PT-Symmetries
- Physical realization of -symmetric potential scattering in a planar slab waveguide
- PT symmetry and spontaneous symmetry breaking in a microwave billiard
- Observation of non-Bloch parity-time symmetry and exceptional points
- Symmetry and Higher-Order Exceptional Points
- PT Metamaterials via Complex-Coordinate Transformation Optics
- Gigantic transmission band edge resonance in periodic stacks of anisotropic layers
- Observation of Exceptional Points in Electronic Circuits
- Slow light in photonic crystals
- Frozen light in photonic crystals with degenerate band edge
- Oblique frozen modes in periodic layered media
- Collectivity, Phase Transitions and Exceptional Points in Open Quantum Systems
- Theory of Coupled Resonator Optical Waveguides (CROW) Exhibiting High Order Exceptional Points of Degeneracy
- Giant Gain Enhancement in Photonic Crystals with a Degenerate Band Edge
- Slow wave resonance in periodic stacks of anisotropic layers
- Achieving arbitrary polarization control using complex birefringent meta-materials
- Nonreciprocal metamaterial obeying time-reversal symmetry
- Experimental Demonstration of Degenerate Band Edge in Metallic Periodically-Loaded Circular Waveguide
- Unidirectional Lasing Emerging from Frozen Light in Non-Reciprocal Cavities
- Exceptional Points of Degeneracy in Periodic Coupled Waveguides and the Interplay of Gain and Radiation Loss: Theoretical and Experimental Demonstration
- Strongly Resonant Transmission of Electromagnetic Radiation in Periodic Anisotropic Layered Media
- Frozen Mode Regime in Finite Periodic Structures
- General Conditions to Realize Exceptional Points of Degeneracy in Two Uniform Coupled Transmission Lines
- A New Amplification Regime for Traveling Wave Tubes with Third Order Modal Degeneracy
- Novel Propagation Model of Degenerate Band Edge Modes Using Dual Non-identical Pair of Coupled Transmission Lines
- Exceptional Point of Degeneracy in Backward-Wave Oscillator with Distributed Power Extraction
- Exceptional Degeneracy in a Waveguide Periodically Loaded with Discrete Gain and Radiation Loss Elements
- Exceptional Point of Degeneracy in Linear-Beam Tubes for High Power Backward-Wave Oscillators
- Polarization-state-dependent attenuation and amplification in a columnar thin film
- High Power Backward Wave Oscillator using Folded Waveguide with Distributed Power Extraction Operating at an Exceptional Point