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Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time 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...
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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...
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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
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Related Experiment Video

Updated: Jul 9, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

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Published on: January 28, 2019

Adaptive phase distortion correction in strong speckle-modulation conditions.

M A Vorontsov, G W Carhart

    Optics Letters
    |November 23, 2007
    PubMed
    Summary

    Adaptive optics improve laser beam control by using new beam-quality metrics. This technique enhances laser energy concentration on distant objects, even with challenging atmospheric conditions like speckle.

    Area of Science:

    • Optical Engineering
    • Laser Physics
    • Remote Sensing

    Background:

    • Adaptive optics systems are crucial for precise laser beam control.
    • Laser beam propagation through the atmosphere is affected by intensity modulation due to speckle.
    • Accurate estimation of beam energy concentration on remote targets is challenging.

    Purpose of the Study:

    • To introduce novel beam-quality metrics for adaptive wave-front control.
    • To enable estimation of laser beam energy concentration on extended objects using backscattered intensity.
    • To demonstrate improved laser beam concentration through adaptive correction.

    Main Methods:

    • Development of beam-quality metrics based on backscattered wave intensity.
    • Implementation of a 37-control-channel adaptive optics system with phase correction.

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    Last Updated: Jul 9, 2026

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

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    Published on: January 28, 2019

    Sample Drift Correction Following 4D Confocal Time-lapse Imaging
    10:04

    Sample Drift Correction Following 4D Confocal Time-lapse Imaging

    Published on: April 12, 2014

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  • Optimization of speckle-field-based metrics using stochastic parallel gradient descent.
  • Main Results:

    • The adaptive optics system effectively corrects phase distortions.
    • Speckle-field-based metrics allow for estimation of beam energy concentration.
    • Adaptive wave-front correction significantly enhances laser beam concentration on extended objects.

    Conclusions:

    • Novel beam-quality metrics enable effective adaptive wave-front control.
    • The presented adaptive optics system overcomes speckle-induced intensity modulation.
    • This approach substantially improves laser targeting accuracy for remote extended objects.