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Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

472
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.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
472
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

566
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...
566
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

664
Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass...
664

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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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General analytic solution for far-field phase and amplitude control, with a phase-only spatial light modulator.

Lewis Z Liu, Kevin O'Keeffe, David T Lloyd

    Optics Letters
    |April 2, 2014
    PubMed
    Summary

    We developed a new analytical solution for phase-only spatial light modulators. This method precisely controls far-field light patterns, validated through experiments.

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    Area of Science:

    • Optics and Photonics
    • Wavefront Engineering

    Background:

    • Spatial light modulators (SLMs) are crucial for manipulating light wavefronts.
    • Precise control over far-field amplitude and phase is essential for applications like optical trapping and beam shaping.

    Purpose of the Study:

    • To derive an analytical solution for phase-only spatial light modulators (SLMs).
    • To enable precise generation of desired far-field phase and amplitude distributions.

    Main Methods:

    • Developed an analytical model for phase-only SLM operation.
    • Experimental validation of the derived analytical solution.

    Main Results:

    • Demonstrated excellent control over far-field amplitude distributions.
    • Achieved precise control over far-field phase distributions.
    • Experimental results confirmed the analytical model's predictions.

    Conclusions:

    • The presented analytical solution offers effective control over far-field light.
    • This method provides a powerful tool for phase-only SLM applications.