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Related Concept Videos

Gain01:15

Gain

330
Gain and phase shift are properties of linear circuits that describe the effect a circuit has on a sinusoidal input voltage or current. The circuit's behavior that contains reactive elements will depend on the frequency of the input sinusoid. As a result, it is observed that the gain and phase shift will all be frequency functions.
Gain:
Suppose Vin is the input and Vout is the output signal to a circuit.
330
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

381
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...
381
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

473
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...
473
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

338
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...
338

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Related Experiment Video

Updated: Dec 21, 2025

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Signal advance and delay due to an optical phase-sensitive amplifier.

Nicholas R Brewer, Tian Li, Kevin M Jones

    Optics Express
    |May 15, 2020
    PubMed
    Summary

    Optical phase-sensitive amplifiers (PSAs) can advance or delay signals, similar to fast and slow light effects. This novel signal manipulation arises from power redistribution between sidebands, influenced by input optical phase.

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    Area of Science:

    • Quantum optics
    • Nonlinear optics
    • Optical signal processing

    Background:

    • Fast and slow light media utilize refractive index changes to alter signal timing.
    • Optical phase-sensitive amplifiers (PSAs) are known for adding energy to optical signals.

    Purpose of the Study:

    • To investigate the potential of PSAs for signal advance and delay.
    • To understand the underlying mechanism of signal timing manipulation in PSAs.
    • To compare PSA-induced signal timing effects with those in fast and slow light media.

    Main Methods:

    • Implementation of a PSA using four-wave mixing in warm rubidium vapor.
    • Modulation of input optical signals and analysis of output characteristics.
    • Measurement of signal advance and delay based on input optical phase.

    Main Results:

    • Observed signal advance and delay effects qualitatively similar to fast and slow light.
    • Demonstrated that the effect is due to power redistribution between imbalanced signal sidebands.
    • Confirmed that the observed advance and delay are dependent on the input optical phase.

    Conclusions:

    • PSAs offer a novel method for controlling optical signal timing.
    • The mechanism in PSAs differs from slow and fast light, relying on sideband power redistribution.
    • Experimental results align with the theoretical behavior of an ideal PSA.