Third order modal exceptional degeneracy in waveguides with glide-time symmetry

Yazdi, Farshad; Mealy, Tarek; Nikzamir, Alireza; Marosi, Robert; Capolino, Filippo

doi:10.1103/physreva.105.052230

Cited by 3 publications

(1 citation statement)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[ 6–8 ] Moreover, third‐order exceptional points of degeneracy (EPDs) have been found in a diverse range of structures: loss–gain balanced coupled‐mode structures, such as PT‐symmetric systems with glide symmetry. [ 9,10 ] SIPs are found in periodic lossless and gainless coupled mode structures, [ 6,11 ] periodic lossless and gainless gratings, [ 12 ] and photonic crystals. [ 2 ] Furthermore, SIPs have been found in nonreciprocal structures, as shown in other studies, [ 13–15 ] where the system becomes unidirectional near the SIP frequency.…”

Section: Introductionmentioning

confidence: 99%

Frozen Mode in an Asymmetric Serpentine Optical Waveguide

Parareda

Vitebksiy

Scheuer

et al. 2022

Advanced Photonics Research

Self Cite

View full text Add to dashboard Cite

The existence of a frozen mode in a periodic serpentine waveguide with broken longitudinal symmetry is demonstrated numerically. The frozen mode is associated with a stationary inflection point (SIP) of the Bloch dispersion relation, where three Bloch eigenmodes collapse on each other, as it is an exceptional point of order three. The frozen mode regime is characterized by vanishing group velocity and enhanced field amplitude, which can be very attractive in various applications including dispersion engineering, lasers, and delay lines. Useful and simple design equations that lead to realization of the frozen mode by adjusting a few parameters are derived. The trend in group delay and quality factor with waveguide length that is peculiar of the frozen mode is shown. The symmetry conditions for the existence of exceptional points of degeneracy associated with the frozen mode are also discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Frozen Mode in an Asymmetric Serpentine Optical Waveguide

Parareda

Vitebksiy

Scheuer

et al. 2022

Advanced Photonics Research

Self Cite

View full text Add to dashboard Cite

show abstract

Non-resonant exceptional points as enablers of noise-resilient sensors

Tuxbury

Kononchuk

2022

Commun Phys

View full text Add to dashboard Cite

Exceptional point degeneracies (EPDs) in the resonant spectrum of non-Hermitian systems have been recently employed for sensing due to the sublinear response of the resonance splitting when a perturbant interacts with the sensor. The sublinear response provides high sensitivity to small perturbations and a large dynamic range. However, the resonant-based EPD sensing abides to the resolution limit imposed by the resonant quality factors and by the signal-to-noise ratio reduction due to gain-elements. Moreover, it is susceptible to local mechanical disturbances and imperfections. Here, we propose a passive non-resonant (NR) EPD-sensor that is resilient to losses, local cavity variations, and noise. The NR-EPD describes the coalescence of Bloch eigenmodes associated with the spectrum of transfer matrices of periodic structures. This coalescence enables scattering cross-section cusps with a sublinear response to small detunings away from an NR-EPD. We show that these cusps can be utilized for enhanced noise-resilient sensing.

show abstract

Exceptional-point degeneracy as a desirable operation point for an oscillator array with discrete nonlinear gain and radiative elements

Nikzamir,

Capolino

2024

Phys. Rev. Applied

View full text Add to dashboard Cite

Third order modal exceptional degeneracy in waveguides with glide-time symmetry

Cited by 3 publications

References 67 publications

Frozen Mode in an Asymmetric Serpentine Optical Waveguide

Frozen Mode in an Asymmetric Serpentine Optical Waveguide

Non-resonant exceptional points as enablers of noise-resilient sensors

Exceptional-point degeneracy as a desirable operation point for an oscillator array with discrete nonlinear gain and radiative elements

Contact Info

Product

Resources

About