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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.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Carrier Generation and Recombination01:22

Carrier Generation and Recombination

Carrier generation is the process by which electron-hole pairs (EHPs) are created within the semiconductor. In direct-bandgap semiconductors, such as gallium arsenide (GaAs), this occurs efficiently when energy absorption prompts valence electrons to leap into the conduction band, leaving behind holes.
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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...
Time and frequency -Domain Interpretation of Phase-lead Control01:24

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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.
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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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Related Experiment Video

Updated: May 27, 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

Carrier-envelope phase stabilization with sub-10 as residual timing jitter.

B Borchers1, S Koke, A Husakou

  • 1Max Born Institute for Nonlinear Optics and Short Pulse Spectroscopy, Max-Born-Straße 2a, 12489 Berlin, Germany. borchers@mbi‑berlin.de

Optics Letters
|November 4, 2011
PubMed
Summary

We achieved unprecedented timing jitter of eight attoseconds in carrier-envelope phase (CEP) stabilization of a Ti:sapphire oscillator. This was done using a novel combination of feedback and feed-forward stabilization techniques.

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Last Updated: May 27, 2026

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Area of Science:

  • Ultrafast optics
  • Laser physics
  • Attosecond science

Background:

  • Mode-locked Ti:sapphire oscillators are crucial for generating ultrashort laser pulses.
  • Carrier-envelope phase (CEP) drift limits the precision and stability of these lasers.
  • Accurate CEP stabilization is essential for applications in attosecond science and high-field physics.

Purpose of the Study:

  • To demonstrate carrier-envelope phase (CEP) stabilization of a mode-locked Ti:sapphire oscillator.
  • To achieve unprecedentedly low timing jitter.
  • To present a hybrid stabilization approach combining feedback and feed-forward control.

Main Methods:

  • Utilized a conventional feedback loop controlling oscillator pump power with an acousto-optic modulator (AOM).
  • Implemented a high-bandwidth feed-forward stabilization scheme using an acousto-optic frequency shifter (AOFS).
  • Performed numerical optimization of photonic crystal fiber length for octave-spanning spectrum generation and f-to-2f interferometer sensitivity.

Main Results:

  • Achieved carrier-envelope phase (CEP) stabilization with a timing jitter of eight attoseconds.
  • Demonstrated the effectiveness of the combined feedback and feed-forward stabilization approach.
  • Presented optimized parameters for photonic crystal fiber length for enhanced spectral generation and interferometer sensitivity.

Conclusions:

  • The hybrid stabilization technique significantly reduces timing jitter in Ti:sapphire oscillators.
  • This advancement enables more precise control over ultrashort laser pulses for advanced applications.
  • The findings contribute to the development of more stable and reliable ultrafast laser systems.