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Related Concept Videos

Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
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...
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,...
Interference: Path Lengths01:10

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Time and frequency -Domain Interpretation of PI Control01:27

Time and frequency -Domain Interpretation of PI Control

Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires careful...

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Updated: Jul 5, 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

Precisely tunable continuous-wave terahertz source with interferometric frequency control.

Anselm J Deninger1, Thorsten Göbel, Daniel Schönherr

  • 1TOPTICA Photonics AG, Lochhamer Schlag 19, D-82166 Gräfelfing, Germany.

The Review of Scientific Instruments
|May 2, 2008
PubMed
Summary

We developed a tunable terahertz source with megahertz frequency resolution using stabilized diode lasers and optical heterodyning. This breakthrough enables high-resolution terahertz spectroscopy for advanced material characterization.

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Area of Science:

  • Physics
  • Spectroscopy
  • Optics

Background:

  • Precise terahertz (THz) sources are crucial for advanced spectroscopy.
  • Existing THz generation methods often lack sufficient tunability and frequency resolution.
  • Optical heterodyning offers a promising route for generating coherent THz radiation.

Purpose of the Study:

  • To develop a continuously tunable terahertz source with megahertz frequency resolution.
  • To demonstrate the capability of this source for high-resolution terahertz spectroscopy.
  • To characterize the transmission properties of a subwavelength metal grating using the developed system.

Main Methods:

  • Utilizing optical heterodyning of two stabilized near-infrared distributed feedback diode lasers.
  • Employing electronic feedback from a low-finesse quadrature interferometer for laser stabilization.
  • Implementing precisely linear laser frequency scans over a >1200 GHz range.
  • Using Gallium Arsenide (GaAs) photomixers and log-periodic antennae for THz detection.

Main Results:

  • Achieved a beat signal linewidth of 1 MHz at an 80 ms time scale.
  • Obtained a signal-to-noise ratio (SNR) of >70 dB at 100 GHz and 100 ms integration time.
  • Maintained an SNR of approximately 30 dB at 1 THz.
  • Successfully characterized the transmission of a subwavelength metal grating, demonstrating high-resolution spectroscopy.

Conclusions:

  • The developed tunable continuous-wave terahertz source offers unprecedented megahertz frequency resolution.
  • The system enables high-performance terahertz spectroscopy, suitable for characterizing complex materials.
  • This technology advances the field of terahertz science and its applications in material analysis.