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Time and frequency -Domain Interpretation of Phase-lag Control01:21

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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
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On-chip multi-timescale spatiotemporal optical synchronization.

Lida Xu1, Mahmoud Jalali Mehrabad1, Christopher J Flower1

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This summary is machine-generated.

Researchers achieved on-chip multi-timescale synchronization using topological photonics. This breakthrough enables nested mode-locked states with distinct fast and slow timescales for advanced optical applications.

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Area of Science:

  • Nonlinear optics
  • Topological photonics
  • Integrated photonics

Background:

  • Mode locking is crucial for advancements in metrology, spectroscopy, and communications.
  • Exploring mode locking in nonharmonic, multi-timescale regimes remains a significant challenge.

Purpose of the Study:

  • To realize on-chip multi-timescale synchronization using topological photonics.
  • To investigate nested mode-locked states with distinct fast and slow timescales.

Main Methods:

  • Design of a two-dimensional lattice of 261 coupled silicon nitride ring resonators.
  • Observation of multi-timescale mode locking signatures, including pump noise distribution and repetition beats.
  • Analysis of edge-confined states dynamics distinct from bulk and single-ring modes.

Main Results:

  • Successful realization of nested mode-locked states with fast (~1 THz) and slow (~3 GHz) timescales.
  • Observation of quadratic pump noise distribution across azimuthal mode families, confirming theoretical predictions.
  • Demonstration of near-transform-limited repetition beats and periodic temporal patterns on the slow timescale.

Conclusions:

  • Topological frequency combs offer a robust platform for independently tunable, lattice-scale synchronization.
  • This work opens new avenues for exploring the interplay between nonlinearity and topology in integrated photonics.
  • The findings pave the way for novel applications in optical metrology, spectroscopy, and communications.