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Related Experiment Video

Updated: Jan 13, 2026

Measuring the Behavioral Effects of Intraocular Scatter
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Observation of Dispersion Anomalies by Design.

Mahmoud M Samak1, Osama R Bilal1

  • 1School of Mechanical, Aerospace, and Manufacturing Engineering, University of Connecticut, Storrs, CT, 06269, USA.

Advanced Materials (Deerfield Beach, Fla.)
|January 10, 2026
PubMed
Summary
This summary is machine-generated.

Magnetic couplings can create zero-frequency phonon anomalies, enabling complete wavenumber bandgaps without time-modulation or electron-phonon coupling. This discovery opens new avenues for material design and wave-matter interaction studies.

Keywords:
acoustic metamaterialdispersion engineeringnon‐local mediaphonon dispersion anomaliessound waves

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Acoustics

Background:

  • Band structures are crucial for understanding material properties like electronic, optical, and acoustic behavior.
  • Dispersion anomalies in frequency-wavenumber relations have been linked to phonon-electron coupling or long-range interactions.

Purpose of the Study:

  • To investigate how magnetic couplings can induce negative stiffness and modify dispersion relations.
  • To demonstrate the creation of zero-frequency phonon anomalies at non-zero wavenumbers.
  • To achieve complete wavenumber bandgaps without relying on time-modulation, electron-phonon coupling, or long-range interactions.

Main Methods:

  • Combination of experimental, numerical, and analytical approaches.
  • Investigation of magnetic couplings to sculpt dispersion relations.
  • Identification of conditions for non-differentiable zero-frequency phonons.

Main Results:

  • Magnetic couplings were shown to induce negative stiffness, supporting zero-frequency phonon anomalies.
  • Complete wavenumber bandgaps were realized without time-modulation, electron-phonon coupling, or long-range interactions.
  • The framework was generalized across various lattice types, metamaterials, and higher-dimensional crystals.
  • The first experimental observation of wavenumber bandgaps in higher dimensions was reported.

Conclusions:

  • Magnetic couplings offer a novel mechanism for dispersion engineering.
  • This work establishes a new paradigm for controlling wave-matter interactions in both frequency and wavenumber domains.
  • The findings provide insights into wave propagation and material properties through manipulation of band structures.