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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

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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Phase-Contrast Microscopes
In-phase-contrast microscopes, interference between light directly passing through a cell and light refracted by cellular components is used to create high-contrast, high-resolution images without staining. It is the oldest and simplest type of microscope that creates an image by altering the wavelengths of light rays passing through the specimen. Altered wavelength paths are created using an annular stop in the condenser. The annular stop produces a hollow cone of...

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Related Experiment Video

Updated: Jun 8, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Published on: January 28, 2019

Phase-locked-loop interferometry applied to aspheric testing with a computer-stored compensator.

M Servin, D Malacara, R Rodriguez-Vera

    Applied Optics
    |October 2, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A new digital phase-locked loop (PLL) technique simultaneously determines and unwraps interferogram phases for testing aspheres. This method simplifies testing by using a computer-generated holographic compensator, easily handling wavefront differences up to 1 lambda.

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    Published on: April 4, 2017

    Area of Science:

    • Optical Engineering
    • Metrology
    • Interferometry

    Background:

    • Null testing of aspheres is crucial for precision optics manufacturing.
    • Traditional interferometric techniques often require separate phase unwrapping steps, adding complexity.
    • Digital phase-locked loop (PLL) offers potential for real-time phase determination.

    Purpose of the Study:

    • To apply a continuous-phase determination technique using a digital phase-locked loop (PLL) for the null testing of aspheres.
    • To investigate a method that integrates phase unwrapping and detection within the PLL.
    • To utilize a computer-generated holographic compensator for efficient aspheric surface testing.

    Main Methods:

    • A digital phase-locked loop (PLL) was employed for continuous-phase determination of interferograms.
    • A computer-generated holographic compensator was used as the reference signal.
    • The PLL simultaneously performed phase detection and unwrapping, eliminating a separate unwrapping step.
    • The method was applied to null testing of aspheric surfaces.

    Main Results:

    • The proposed PLL scheme successfully achieved simultaneous phase unwrapping and detection.
    • Wave-front differences of approximately 1 lambda were readily handled by the technique.
    • The use of a computer-stored holographic compensator streamlined the interferometric process.
    • The technique demonstrated its efficacy in the null testing of aspheres.

    Conclusions:

    • The digital PLL technique provides an efficient and integrated approach for asphere null testing.
    • Simultaneous phase determination and unwrapping simplify the interferometric measurement process.
    • Computer-generated holographic compensators are effective tools for advanced optical testing.