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Related Concept Videos

Forced Oscillations01:06

Forced 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.
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Oscillations In An LC Circuit01:31

Oscillations 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

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Related Experiment Video

Updated: Jul 9, 2026

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
14:18

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

Published on: February 28, 2016

Synchronization of chaotic mode hopping.

Y Liu, P Davis

    Optics Letters
    |December 8, 2007
    PubMed
    Summary

    Researchers synchronized chaotic mode hopping in two tunable lasers using delayed electrical feedback and optical coupling. This method achieves synchronized chaotic on-off modulation patterns across multiple wavelength bands.

    Area of Science:

    • Physics
    • Optics
    • Nonlinear Dynamics

    Background:

    • Tunable lasers are crucial for various applications requiring precise wavelength control.
    • Chaotic mode hopping in lasers can lead to significant wavelength shifts.
    • Synchronization of chaotic systems is a complex but important phenomenon.

    Purpose of the Study:

    • To propose and demonstrate a method for synchronizing chaotic mode hopping in two wavelength-tunable lasers.
    • To achieve synchronized chaotic on-off modulation patterns in multiple wavelength bands.

    Main Methods:

    • Utilizing delayed electrical feedback to induce chaotic mode hopping in individual lasers.
    • Employing optical coupling by directing a portion of one laser's output to the other.
    • Operating lasers within a tuning range that spans multiple longitudinal modes.

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    Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

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    Related Experiment Videos

    Last Updated: Jul 9, 2026

    Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
    14:18

    Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

    Published on: February 28, 2016

    Generation and Coherent Control of Pulsed Quantum Frequency Combs
    06:42

    Generation and Coherent Control of Pulsed Quantum Frequency Combs

    Published on: June 8, 2018

    Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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    Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

    Published on: December 15, 2021

    Main Results:

    • Successfully generated synchronized chaotic mode hopping in two separate wavelength-tunable lasers.
    • Demonstrated that optical coupling synchronizes the induced chaotic mode hopping.
    • Achieved synchronized chaotic on-off modulation patterns in corresponding wavelength bands.

    Conclusions:

    • The proposed scheme effectively synchronizes chaotic mode hopping in tunable lasers.
    • Optical coupling is a viable method for synchronizing chaotic dynamics between lasers.
    • This work enables new possibilities for synchronized optical signal generation and control.