Related Experiment Video
Updated: May 28, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Resonance assisted synchronization of coupled oscillators: frequency locking without phase locking.
J Thévenin1, M Romanelli, M Vallet
1Institut de Physique de Rennes, Université Rennes I-CNRS UMR 6251,Campus de Beaulieu, 35042 Rennes Cedex, France.
Physical Review Letters
|October 11, 2011
Summary
Researchers demonstrated frequency locking without phase locking in coupled nonlinear oscillators. This novel synchronization regime occurs in coupled laser modes due to resonance, not just phase alignment.
Area of Science:
- Nonlinear dynamics
- Quantum optics
- Laser physics
Background:
- Coupled nonlinear oscillators can exhibit various synchronization phenomena.
- Adler's equation describes the phase-locking range for certain systems.
- Understanding synchronization regimes is crucial for controlling complex systems.
Purpose of the Study:
- To experimentally demonstrate frequency locking without phase locking in coupled nonlinear oscillators.
- To investigate the underlying resonance mechanism responsible for this synchronization regime.
- To validate the findings with a theoretical model.
Main Methods:
- Experimental setup involving two coupled laser modes.
- Observation of amplitude fluctuations and frequency synchronization.
- Comparison with theoretical predictions based on a developed model.
Main Results:
- Frequency locking was achieved without simultaneous phase locking in the coupled laser modes.
- A resonance mechanism was identified as the cause, extending beyond Adler's equation predictions.
- Observed strong amplitude fluctuations correlated with average frequency synchronization.
Conclusions:
- Frequency locking can occur independently of phase locking in coupled nonlinear systems.
- Resonance mechanisms play a significant role in synchronization phenomena.
- The experimental findings align well with the proposed theoretical framework.
Related Concept Videos
01:19Concept of Resonance and its Characteristics
If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not immune...
01:06Forced Oscillations
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
01:14Sound Waves: Resonance
Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
01:12Double Resonance Techniques: Overview
Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
Spin decoupling is usually achieved by...
01:30Oscillations In An LC Circuit
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
01:24Time and frequency -Domain Interpretation of Phase-lead Control
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...