Related Experiment Video
Updated: Aug 1, 2025
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
9.0K
Time crystals transforming frequency combs in tunable photonic oscillators
Georgia Himona1, Vassilios Kovanis2, Yannis Kominis1
1School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens 15780, Greece.
Chaos (Woodbury, N.Y.)
|April 25, 2023
Summary
Researchers explored a tunable photonic oscillator
Area of Science:
- Nonlinear dynamics
- Optics
- Mathematical biology
Background:
- Optically injected semiconductor lasers are complex nonlinear systems.
- Frequency comb injection introduces rich dynamics.
- Time crystals offer a novel framework for analyzing driven nonlinear oscillators.
Purpose of the Study:
- To investigate the dynamics of a tunable photonic oscillator under frequency comb injection.
- To simplify the analysis of this complex system using the time crystal concept.
- To explore potential applications in photonic signal processing.
Main Methods:
- Utilizing the concept of time crystals to model the oscillator's response.
- Reducing the system's dynamics to a one-dimensional circle map.
- Analyzing the properties and bifurcations of the circle map.
Main Results:
- The time crystal concept simplifies the oscillator's dynamics to a circle map.
- The circle map accurately models the system and predicts resonant synchronization.
- Tunable output frequency combs with controllable characteristics are achievable.
Conclusions:
- The time crystal approach provides a powerful tool for understanding driven nonlinear photonic systems.
- The simplified circle map model facilitates the design of tunable frequency combs.
- This research opens avenues for advanced photonic signal processing applications.
Related Concept Videos
01:24Time and frequency -Domain Interpretation of Phase-lead Control
117
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
117
01:27Time and frequency -Domain Interpretation of PI Control
171
Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
171
01:21Time and frequency -Domain Interpretation of Phase-lag Control
126
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...
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
126
01:11Atomic Nuclei: Larmor Precession Frequency
1.5K
The earth's gravitational field produces a 'twisting force' perpendicular to the angular momentum of a spinning mass (such as a spinning top) that causes the mass to 'wobble' around the gravitational field axis in a phenomenon called precession. Similarly, the magnetic moment (μ) of a spinning nucleus precesses due to an external magnetic field directed along the z-axis. The precession of the magnetic moment vector about the magnetic field is called Larmor precession,...
1.5K
01:24Properties of Fourier Transform II
266
The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
266
01:21Properties of Fourier Transform I
206
The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
206