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Related Concept Videos

Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Sound Waves: Resonance01:14

Sound 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...
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.
Concept of Resonance and its Characteristics01:19

Concept 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...
Oscillations In An LC Circuit01:30

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
One-Degree-of-Freedom System01:24

One-Degree-of-Freedom System

In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...

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Modes of empty off-axis unstable resonators with rectangular mirrors.

M M Weiner

    Applied Optics
    |March 10, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Investigating Fresnel edge diffraction in unstable resonators reveals that placing the optical axis near a mirror

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    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Resonator Design

    Background:

    • Unstable resonators are crucial for high-power lasers.
    • Fresnel edge diffraction significantly impacts resonator performance.
    • Understanding mode loss and beam quality is essential for laser optimization.

    Purpose of the Study:

    • To investigate the impact of Fresnel edge diffraction on mode loss and far-field beam quality.
    • To analyze the performance of empty off-axis unstable resonators with rectangular mirrors.
    • To determine optimal configurations for maximizing resonator performance.

    Main Methods:

    • Numerical simulations of unstable resonators.
    • Analysis of Fresnel edge diffraction effects.
    • Evaluation of mode loss and beam quality metrics.

    Main Results:

    • Mode loss separation and beam quality are maximized nonconcurrently.
    • Optimal performance is achieved when the optical axis intersects the convex mirror near a corner.
    • Off-axis resonators can offer superior beam quality compared to on-axis designs.
    • A significant instability in beam quality can occur near optimal operating points.

    Conclusions:

    • Off-axis unstable resonators with corner-positioned optical axes show potential for enhanced beam quality.
    • Careful consideration of operating points is necessary to mitigate beam quality instabilities.
    • Fresnel diffraction effects are critical for precise unstable resonator design.