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Related Concept Videos

Op Amp AC Circuits01:18

Op Amp AC Circuits

Within an audio system, the filter circuit plays a pivotal role in processing the amplified audio signal from an amplifier. Its primary function is significantly attenuating signal components with lower frequencies, thereby shaping the audio output. This circuit's operations are examined, focusing on the fundamental filter configuration. This configuration involves an operational amplifier arranged in an inverting setup coupled with resistors (R1 and R2) and a capacitor (C1).
Active Filters01:25

Active Filters

Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
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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Bandpass Sampling

In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
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Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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Upsampling01:22

Upsampling

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Updated: Jul 14, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Demonstration of a spatial filtering amplifier for high-order harmonics.

J Ph Goddet1, S Sebban, A S Morlens

  • 1Laboratoire d'Optique Appliquée (LOA), ENSTA-Ecole Polytechnique, Chemin de la Huniére, Palaiseau, France. jean-phillippe.goddet@ensta.fr

Optics Letters
|June 5, 2007
PubMed
Summary

This study demonstrates spatial filtering of high-order harmonic beams in a soft-x-ray laser plasma amplifier, enhancing seed energy by 50x. The amplified beam shows improved coherence and an Airy-like profile.

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Area of Science:

  • Laser physics
  • Plasma physics
  • X-ray optics

Background:

  • High-order harmonic generation (HHG) produces coherent X-ray radiation.
  • Soft-X-ray lasers require high-quality seed beams for efficient amplification.
  • Spatial filtering is crucial for improving beam quality in laser systems.

Purpose of the Study:

  • To demonstrate spatial filtering of a high-order harmonic beam.
  • To amplify a spatially filtered soft-X-ray beam using a laser plasma amplifier.
  • To characterize the amplified beam's properties, including energy, profile, and coherence.

Main Methods:

  • Utilized a high-order harmonic beam as a seed.
  • Employed a soft-X-ray laser plasma amplifier.
  • Implemented spatial filtering using an optically ionized plasma.
  • Measured amplified beam energy, profile, and transverse coherence.

Main Results:

  • Achieved spatial filtering of a high-order harmonic beam at 32.8 nm.
  • Enhanced seed energy by a factor of 50 after amplification.
  • Observed an Airy-like beam profile in the amplified beam.
  • Significantly enhanced the transverse coherence of the amplified beam.
  • Generated peak coherent power ranging from 0.9 x 10^5 to 1.8 x 10^5 W.

Conclusions:

  • Spatial filtering in a laser plasma amplifier is effective for improving soft-X-ray beam quality.
  • The technique enhances both energy and transverse coherence.
  • This method opens possibilities for advanced X-ray laser applications.