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Related Concept Videos

Pole and System Stability01:24

Pole and System Stability

The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's response.
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
Reduced Mass Coordinates: Isolated Two-body Problem01:12

Reduced Mass Coordinates: Isolated Two-body Problem

In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...

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Updated: Jun 10, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Mode-medium instability and its correction with a Gaussian-reflectivity mirror.

K L Webster, C C Sung

    Applied Optics
    |August 19, 2010
    PubMed
    Summary
    This summary is machine-generated.

    High-power carbon dioxide (CO2) laser beams degrade due to mode-medium instability (MMI). Using a Gaussian-reflectivity mirror effectively mitigates MMI effects, improving beam quality.

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    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Computational Physics

    Background:

    • High-power carbon dioxide (CO2) lasers are susceptible to mode-medium instability (MMI) after short durations.
    • MMI arises from intensity-dependent heating linked to the vibrational-to-translational decay of CO2 lasing levels.

    Purpose of the Study:

    • To model the temporal evolution of CO2 laser beams affected by MMI.
    • To investigate MMI in unstable resonators with hard-edge output mirrors.
    • To evaluate the efficacy of a Gaussian-reflectivity mirror in mitigating MMI.

    Main Methods:

    • Developed an iterative numerical technique to simulate beam time evolution under MMI.
    • Analyzed MMI in unstable CO2 resonators with varying Fresnel numbers and gas densities.
    • Employed a Gaussian-reflectivity mirror to counteract MMI.

    Main Results:

    • Hard-edge unstable resonators exhibit mode deterioration due to diffraction ripples.
    • The Gaussian-reflectivity mirror significantly smoothed the intensity profile.
    • MMI effects were substantially reduced by the Gaussian-reflectivity mirror.

    Conclusions:

    • Diffraction ripples in hard-edge unstable resonators contribute to mode deterioration.
    • Gaussian-reflectivity mirrors offer an effective solution for mitigating MMI in CO2 lasers.
    • The study presents quantitative data on peak density variation and beam quality improvements.