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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...
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.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

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 filters, manage...
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

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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Related Experiment Video

Updated: Jun 22, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Narrowband supercontinuum control using phase shaping.

Dane R Austin, Jeremy A Bolger, C Martijn de Sterke

    Optics Express
    |June 18, 2009
    PubMed
    Summary
    This summary is machine-generated.

    We investigated how spectral phase features affect ultrashort laser pulses during self-phase modulation. Our findings explain supercontinuum enhancement and predict similar effects for shaped pulses.

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    Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
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    Published on: March 20, 2017

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    Last Updated: Jun 22, 2026

    Generation and Coherent Control of Pulsed Quantum Frequency Combs
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    Generation and Coherent Control of Pulsed Quantum Frequency Combs

    Published on: June 8, 2018

    Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
    09:43

    Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

    Published on: March 20, 2017

    Area of Science:

    • Nonlinear Optics
    • Quantum Optics
    • Ultrafast Photonics

    Background:

    • Self-phase modulation (SPM) is a key phenomenon in nonlinear optics.
    • Ultrashort pulses exhibit complex spectral dynamics due to SPM.
    • Controlling spectral features of ultrashort pulses is crucial for various applications.

    Purpose of the Study:

    • To theoretically, numerically, and experimentally investigate the impact of spectrally narrow phase features on SPM.
    • To elucidate the mechanism behind spectral enhancement and depletion in ultrashort pulses.
    • To explain existing experimental observations and predict new phenomena.

    Main Methods:

    • Theoretical modeling of SPM with spectrally shaped ultrashort pulses.
    • Numerical simulations to analyze pulse evolution.
    • Experimental demonstration using a femtosecond pulse shaper.

    Main Results:

    • Spectral enhancement and depletion arise from phase differences between the initial field and generated nonlinear components.
    • Theoretical results align with observations of supercontinuum enhancement using fiber Bragg gratings.
    • Demonstrated spectral manipulation of femtosecond pulses in a laboratory setting.

    Conclusions:

    • The relative phase between the initial pulse spectrum and spectrally induced nonlinear components dictates spectral modifications.
    • This understanding can be applied to enhance supercontinuum generation in uniform fibers.
    • Femtosecond pulse shaping offers a versatile tool for controlling nonlinear optical phenomena.