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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...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
Atomic Nuclei: Larmor Precession Frequency01:11

Atomic Nuclei: Larmor Precession Frequency

The earth's gravitational field produces a 'twisting force' perpendicular to the angular momentum of a spinning mass (such as a spinning top) that causes the mass to 'wobble' around the gravitational field axis in a phenomenon called precession. Similarly, the magnetic moment (μ) of a spinning nucleus precesses due to an external magnetic field directed along the z-axis. The precession of the magnetic moment vector about the magnetic field is called Larmor precession, and the angular frequency...
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single stretching vibration...
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,...
NMR Spectroscopy: Chemical Shift Overview01:15

NMR Spectroscopy: Chemical Shift Overview

The position of the absorption signal of a sample is reported relative to the position of the signal of tetramethylsilane (TMS), which is added as an internal reference while recording spectra. The difference between the absorption frequencies of the sample and TMS (in Hz) is divided by the spectrometer operating frequency (in MHz) to obtain a dimensionless quantity called the chemical shift. It is reported on the δ (delta) scale and expressed in parts per million.
For instance, the proton...

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Related Experiment Video

Updated: May 17, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

Soliton Self-Frequency Shift: Experimental Demonstrations and Applications.

Jennifer H Lee1, James van Howe, Xiang Liu

  • 1School of Applied and Engineering Physics, Cornell University, Ithaca, NY 14850 USA ( jhl34@cornell.edu ; cx10@cornell.edu ).

IEEE Journal of Selected Topics in Quantum Electronics : a Publication of the IEEE Lasers and Electro-Optics Society
|October 12, 2012
PubMed
Summary
This summary is machine-generated.

Soliton self-frequency shift (SSFS) continuously red-shifts optical pulses via Raman self-pumping. This review covers SSFS fundamentals, fiber platforms, experimental results, and applications like agile lasers and signal processing.

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Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
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Area of Science:

  • Optics and Photonics
  • Nonlinear Fiber Optics

Background:

  • Soliton self-frequency shift (SSFS) is a Raman-induced phenomenon causing continuous red-shifting of soliton pulses.
  • SSFS is crucial for developing advanced fiber-based light sources and signal processing technologies.

Purpose of the Study:

  • To provide a comprehensive review of the fundamentals of SSFS.
  • To present various fiber platforms enabling SSFS and discuss experimental demonstrations.
  • To highlight emerging applications of SSFS.

Main Methods:

  • Review of theoretical principles governing SSFS.
  • Compilation and discussion of experimental SSFS results across different fiber types.
  • Exploration of SSFS-related phenomena like Cerenkov radiation.

Main Results:

  • SSFS is demonstrated across single-mode, microstructured, and higher-order mode fibers.
  • Cerenkov radiation is observed in fibers exhibiting SSFS.
  • The potential for SSFS in wavelength-agile lasers, analog-to-digital conversion, and slow light is discussed.

Conclusions:

  • SSFS is a versatile nonlinear optical effect with significant potential.
  • Diverse fiber platforms support efficient SSFS, broadening its applicability.
  • SSFS enables innovative applications in optical communications and signal processing.