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Related Concept Videos

Properties of Fourier Transform II01:24

Properties of Fourier Transform II

The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
Properties of Fourier series I01:20

Properties of Fourier series I

The Fourier series is a powerful tool in signal processing and communications, allowing periodic signals to be expressed as sums of sine and cosine functions. A foundational property of the Fourier series is linearity. If we consider two periodic signals, their linear combination results in a new signal whose Fourier coefficients are simply the corresponding linear combinations of the original signals' coefficients. This property is crucial in applications like frequency modulation (FM) radio,...
IR Frequency Region: X–H Stretching01:24

IR Frequency Region: X–H Stretching

In IR spectroscopy, signals produced by the X−H bonds (such as C−H, O−H, or N−H) can be observed in the frequency range of  2700–4000 cm–1. The C−H stretching vibration forms sharp bands in the region 2850–3000 cm–1. The presence of the O−H stretching vibration leads to the forming of an absorption band in the frequency range 3650–3200 cm−1. At the same time, N−H stretching can be confirmed by absorption bands in the 3500–3100 cm−1 range. Even though both O−H and N−H bonds vibrate at a similar...
NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences01:17

NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences

A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
Aliasing01:18

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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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Related Experiment Video

Updated: May 13, 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

Endless frequency shifting of optical frequency comb lines.

Erik Benkler1, Felix Rohde, Harald R Telle

  • 1Physikalisch-Technische Bundesanstalt, Bundesallee 100, D-38116 Braunschweig, Germany. erik.benkler@ptb.de

Optics Express
|March 14, 2013
PubMed
Summary

A new method shifts optical frequency comb lines by altering carrier phase between laser pulses. This agile, non-intrusive technique enables flexible temporal frequency control.

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Area of Science:

  • Optics and Photonics
  • Laser Physics
  • Frequency Metrology

Background:

  • Optical frequency combs are precise light sources with applications in spectroscopy and metrology.
  • Controlling the frequency of individual comb lines is crucial for advanced applications.
  • Existing methods for frequency shifting often require complex setups or modifications to the comb generator.

Purpose of the Study:

  • To demonstrate a novel technique for agile frequency shifting of optical frequency comb lines.
  • To present a universal method that does not require intruding into the comb generator.
  • To enable arbitrary temporal evolutions of optical frequencies.

Main Methods:

  • The technique relies on modifying the carrier phase within the time interval between consecutive pulses from a mode-locked laser.
  • This phase manipulation effectively shifts the carrier frequency of the comb lines.
  • The method is implemented without altering the core components of the optical frequency comb generator.

Main Results:

  • Successful demonstration of the functional principle for frequency shifting comb lines.
  • The developed frequency shifter exhibits high agility, allowing for arbitrary temporal frequency changes.
  • The technique proves to be universal, applicable to various optical frequency comb setups.

Conclusions:

  • The demonstrated technique offers a flexible and non-intrusive approach to optical frequency comb line shifting.
  • This method provides precise control over temporal frequency evolutions, enhancing comb utility.
  • The universal nature and agility of the shifter open new possibilities in optical frequency manipulation and applications.