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Related Concept Videos

Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
Sound Waves: Resonance01:14

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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...
Parallel Resonance01:23

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
Resonance and Hybrid Structures02:16

Resonance and Hybrid Structures

According to the theory of resonance, if two or more Lewis structures with the same arrangement of atoms can be written for a molecule, ion, or radical, the actual distribution of electrons is an average of that shown by the various Lewis structures.
Resonance Structures and Resonance Hybrids
The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N–O and N=O bonds.

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Related Experiment Video

Updated: Jun 23, 2026

Fabrication and Characterization of Superconducting Resonators
10:26

Fabrication and Characterization of Superconducting Resonators

Published on: May 21, 2016

Nonlinear Fano-Feshbach resonances.

Andrey E Miroshnichenko1

  • 1Nonlinear Physics Centre, Australian National University, Canberra ACT 0200, Australia. aem124@rsphysse.anu.edu.au

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 28, 2009
PubMed
Summary

Investigating wave scattering in discrete systems, this study reveals how interacting Fano resonances create narrow resonances. Nonlinearity introduces bistability, offering new possibilities for wave control.

Area of Science:

  • Condensed Matter Physics
  • Wave Phenomena
  • Nonlinear Dynamics

Background:

  • Fano resonance describes a sharp asymmetric resonance in quantum scattering.
  • Discrete systems offer unique platforms for studying wave interactions.
  • Understanding resonance interactions is key to controlling wave propagation.

Purpose of the Study:

  • To investigate wave scattering in a 1D discrete system with two side-coupled defects.
  • To explore the emergence of narrow resonances from interacting Fano resonances.
  • To analyze the impact of nonlinearity on the system's response.

Main Methods:

  • Theoretical analysis of wave scattering in a 1D discrete lattice.
  • Modeling of Fano resonances in coupled defect systems.

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Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

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  • Investigation of local and nonlocal coupling configurations.
  • Inclusion of nonlinear effects at the defects.

    • Main Results:

    • Two Fano resonances can interact to create a very narrow resonance.
    • Nonlocal coupling leads to a sharp asymmetric resonance with a high quality factor.
    • Introducing nonlinearity can result in a closed loop in the nonlinear transmission coefficient, causing bistability.

    Conclusions:

    • The interaction of Fano resonances provides a mechanism for generating narrow resonances in discrete systems.
    • Nonlocal coupling and nonlinearity offer tunable control over wave scattering and transmission.
    • The observed bistable response has potential applications in optical switching and signal processing.