Exceptional Points of Degeneracy Directly Induced by Space-Time Modulation of a Single Transmission Line
arXiv:2004.11423 · doi:10.1109/LAWP.2020.3014112
Abstract
We demonstrate how exceptional points of degeneracy (EPDs) are induced in a single transmission line (TL) directly by applying periodic space-time modulation to the per-unit-length distributed capacitance. In such space-time modulated (STM)-TL, two eigenmodes coalesce into a single degenerate one, in their eigenvalues (wavenumbers) and eigenvectors (voltage-current states) when the system approaches the EPD condition. The EPD condition is achieved by tuning a parameter in the space-time modulation, such as spatial or temporal modulation frequency, or the modulation depth. We unequivocally demonstrate the occurrence of the EPD by showing that the bifurcation of the wavenumber around the EPD is described by the Puiseux fractional power series expansion. We show that the first order expansion is sufficient to approximate well the dispersion diagram, and how this "exceptional" sensitivity of an STM-TL to tiny changes of any TL or modulation parameter enables a possible application as a highly sensitive TL sensor when operating at an EPD.
References in corpus (16)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Experimental Study of Active LRC Circuits with PT-Symmetries
- Exceptional Points of Non-hermitian Operators
- Gigantic transmission band edge resonance in periodic stacks of anisotropic layers
- Mixer-Duplexer-Antenna Leaky-Wave System Based on Periodic Space-Time Modulation
- Oblique frozen modes in periodic layered media
- 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
- Analysis and Design of Commutation-Based Circulator-Receivers for Integrated Full-Duplex Wireless
- Slow wave resonance in periodic stacks of anisotropic layers
- Theory of Exceptional Points of Degeneracy in Uniform Coupled-Waveguides and Balance of Gain and Loss
- Floquet exceptional points and chirality in non-Hermitian Hamiltonians
- Exceptional Points of Degeneracy in Periodic Coupled Waveguides and the Interplay of Gain and Radiation Loss: Theoretical and Experimental Demonstration
- The degenerate band edge laser: a new paradigm for coherent light-matter interaction
- Low Starting Electron Beam Current in Degenerate Band Edge Oscillators
- Experimental Demonstration of Exceptional Points of Degeneracy in Linear Time Periodic Systems and Exceptional Sensitivity
Cited by in corpus (4)
- Exceptional Degeneracies in Traveling Wave Tubes with Dispersive Slow-Wave Structure Including Space-Charge Effect
- Exceptional Degeneracy in a Waveguide Periodically Loaded with Discrete Gain and Radiation Loss Elements
- Enhanced Sensitivity of Degenerate System Made of Two Unstable Resonators Coupled by Gyrator Operating at an Exceptional Point
- Revealing non-Hermitian band structures of photonic Floquet media