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Anderson localization of flexural waves in disordered elastic beams
Jesús Calleja Ángel1, José Concepción Torres Guzmán2,3, Alfredo Díaz de Anda1
1Instituto de Física, Benemérita Universidad Autónoma de Puebla, P.O. Box J-48, 72570, Puebla, Pue., Mexico.
Scientific Reports
|March 7, 2019
Summary
We investigated Anderson localization in disordered elastic beams. Above a crossover frequency, wave functions localize, while below, they extend in a non-monotonous manner, differing from other systems.
Area of Science:
- Physics
- Materials Science
- Wave Phenomena
Background:
- Anderson localization describes wave function confinement in disordered systems.
- Elastic beams with random notches exhibit unique wave propagation characteristics.
- Understanding wave behavior in disordered media is crucial for material design.
Purpose of the Study:
- To investigate Anderson localization of flexural waves in a disordered elastic beam.
- To analyze the influence of disorder on wave function behavior across a crossover frequency.
- To compare wave characteristics in disordered beams with those in other classical and quantum systems.
Main Methods:
- Experimental analysis of flexural wave propagation.
- Numerical simulations of wave dynamics in disordered beams.
- Calculation of participation ratio, localization length, and level statistics.
Main Results:
- Disorder's effect is frequency-dependent, stronger above a crossover frequency (fc).
- Above fc, normal-mode wave functions exhibit localization.
- Below fc, wave functions are extended with non-monotonous frequency dependence.
Conclusions:
- The study reveals distinct Anderson localization behaviors in disordered elastic beams.
- A frequency-dependent transition from extended to localized wave functions is observed.
- Findings provide insights into wave phenomena in disordered elastic materials.
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