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Solid-solid phononic crystal with strongly time-modulated elastic constituents

Matthew Li1, Dmitrii Shymkiv1, Ying Wu2

  • 1Department of Physics, University of North Texas, Denton, Texas 76203, USA.

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Summary
This summary is machine-generated.

This study introduces time-modulated phononic crystals made of oscillating bi-material rods. These structures create significant frequency, momentum, and mixed bandgaps for sound wave propagation.

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Area of Science:

  • Acoustics
  • Materials Science
  • Solid Mechanics

Background:

  • Phononic crystals offer control over wave propagation.
  • Time-modulation introduces dynamic properties to phononic structures.
  • Heterogeneous materials with high elastic contrast are key for enhanced wave manipulation.

Purpose of the Study:

  • To propose and analyze a novel time-modulated phononic crystal.
  • To investigate the formation of frequency, momentum, and mixed bandgaps.
  • To explore the impact of bi-material rods and elastic contrast on bandgap properties.

Main Methods:

  • A plane wave expansion method was employed.
  • The dispersion relation was derived from a quadratic eigenvalue problem.
  • Analysis was performed in complex frequency-wavevector (ω-k) space.

Main Results:

  • The band structure exhibits distinct frequency (ω) and momentum (k) bandgaps.
  • Overlapping ω and k bandgaps form mixed gaps where ω and k become imaginary.
  • High elastic contrast in bi-material rods leads to substantial modulation and large gap-to-midgap ratios.

Conclusions:

  • The proposed time-modulated phononic crystal effectively controls sound wave propagation.
  • The design enables significant tunability of bandgaps through material properties and modulation.
  • This work provides a framework for designing advanced acoustic metamaterials.