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Related Concept Videos

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

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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.
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...
Nuclear Overhauser Enhancement (NOE)01:06

Nuclear Overhauser Enhancement (NOE)

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Insensitive Nuclei Enhanced by Polarization Transfer (INEPT) is an advanced Nuclear Magnetic Resonance (NMR) technique specifically designed to detect and enhance the signals of low-abundance nuclei, such as carbon-13 and nitrogen-15, in small molecules. The fundamental principle behind INEPT is the transfer of polarization from a more abundant and highly polarizable nucleus, typically hydrogen-1, to the low-abundance nucleus of interest. This process effectively boosts the NMR signal of the...
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Rejection of Fluorescence Background in Resonance and Spontaneous Raman Microspectroscopy
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Published on: May 18, 2011

Optical precursor fields in nonlinear pulse dynamics.

Chris L Palombini1, Kurt E Oughstun

  • 1College of Engineering and Mathematical Sciences, University of Vermont, Burlington, VT 05405-0156, USA.

Optics Express
|December 18, 2010
PubMed
Summary
This summary is machine-generated.

Optical precursors in dispersive media dominate pulse evolution. Nonlinear effects and full dispersion modeling are crucial for accurately capturing these phenomena, unlike simplified approximations.

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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Area of Science:

  • Nonlinear Optics
  • Wave Propagation Physics

Background:

  • Ultrashort pulse propagation in dispersive media with absorption can lead to optical precursors.
  • The exponential decay of initial spectral peak amplitude influences precursor dominance over long distances.

Purpose of the Study:

  • To investigate the impact of nonlinear medium response on optical precursor formation.
  • To compare pulse evolution using full dispersion versus approximations.

Main Methods:

  • Split-step Fourier method was employed to model nonlinear pulse dynamics.
  • Numerical simulations were performed comparing full dispersion with quadratic Taylor series approximation.

Main Results:

  • Nonlinear medium response affects precursor formation.
  • The group velocity approximation (quadratic Taylor series) entirely misses precursor fields.
  • Full dispersion modeling is essential for accurate precursor prediction.

Conclusions:

  • Optical precursors are significant features in ultrashort pulse dynamics.
  • Accurate modeling of dispersion, especially beyond simple approximations, is vital for understanding precursor phenomena in nonlinear media.