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Related Concept Videos

Sound Waves: Resonance01:14

Sound Waves: Resonance

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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...
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Modes of Standing Waves - I01:03

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A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
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Standing Waves in a Cavity01:28

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Modes of Standing Waves: II01:04

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The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
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Double Resonance Techniques: Overview01:12

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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...
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Resonance and Hybrid Structures02:16

Resonance and Hybrid Structures

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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.
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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: Mar 24, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Regular modes in a mixed-dynamics-based optical fiber.

C Michel1, M Allgaier1,2, V Doya1

  • 1Laboratoire de Physique de la Matière Condensée, CNRS UMR 7336, Université Nice-Sophia Antipolis, 06100 Nice, France.

Physical Review. E
|March 18, 2016
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Summary

This study reveals that regular modes in optical fibers with specific shapes exhibit enhanced spatial intensity localization, similar to Anderson localization phenomena. These findings are supported by both numerical and experimental evidence.

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Area of Science:

  • Physics
  • Optics
  • Wave Dynamics

Background:

  • Multimode optical fibers offer a platform for studying complex ray dynamics.
  • Investigating wave features in optical systems with non-standard geometries is crucial for understanding light propagation.

Purpose of the Study:

  • To investigate wave features and spatial intensity localization in multimode optical fibers with truncated transverse cross sections.
  • To explore the dynamics induced by a geometry leading to mixed ray dynamics.
  • To analyze the statistical properties of regular modes and their analogy to Anderson localization.

Main Methods:

  • Numerical simulations of wave propagation in truncated optical fibers.
  • Experimental investigations of spatial localization and spectral properties.
  • Statistical analysis of the inverse participation ratio for regular modes.

Main Results:

  • Regular modes associated with stable periodic orbits demonstrate enhanced spatial intensity localization.
  • The statistics of the inverse participation ratio show features analogous to Anderson localized modes.
  • Both numerical and experimental results confirm the spatial localization and spectral regularity of these modes.

Conclusions:

  • Truncated multimode optical fibers are effective tools for studying complex ray dynamics and wave localization.
  • Regular modes in such systems exhibit unique localization properties with implications for optical device design.
  • The observed phenomena provide insights into wave behavior in complex optical geometries.