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Related Concept Videos

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...
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Design Example: Underdamped Parallel RLC Circuit01:17

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Updated: Jun 12, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Mode-medium instability in an unstable resonator.

C C Sung, Y Q Li, M E Smithers

    Applied Optics
    |June 5, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study investigates mode-medium instability in unstable resonators. Introducing gain/phase sheets and using Green

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    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Resonator Stability

    Background:

    • Unstable resonators are crucial for high-power lasers.
    • Mode-medium instability can degrade beam quality.
    • Previous models often simplify cavity effects.

    Purpose of the Study:

    • To investigate the mode-medium instability in unstable resonators.
    • To analyze the impact of gain/phase sheets on instability.
    • To understand the role of medium coupling in beam deterioration.

    Main Methods:

    • Modified Horwitz asymptotic solution for empty cavities.
    • Incorporation of gain/phase sheets.
    • Green's function in Fox-Li formulation for medium coupling.
    • Numerical simulation of beam propagation and time evolution.

    Main Results:

    • Diffractive terms grow rapidly, overpowering geometric terms.
    • Deterioration of beam quality is linked to this instability.
    • The model successfully captures instability dynamics.

    Conclusions:

    • The developed model accurately describes mode-medium instability.
    • Gain/phase sheets significantly influence resonator behavior.
    • Understanding these instabilities is key for optimizing laser systems.