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Scattering fidelity in elastodynamics. II. Further experimental results
Oleg I Lobkis1, Richard L Weaver
1Department of Physics, University of Illinois, 1110 West Green Street MC 704, Urbana, Illinois 61801, USA.
Summary
Scattering fidelity in aluminum blocks aligns with random matrix theory predictions. Irregular shapes show slower fidelity decay, supporting Gaussian orthogonal ensemble models over Poissonian ones.
Area of Science:
- Physics
- Acoustics
- Materials Science
Background:
- Elastodynamic scattering fidelity measurements have historically agreed with random matrix theory (RMT).
- This agreement persists even in systems with regular ray dynamics, prompting high-precision investigations for deviations.
Purpose of the Study:
- To conduct high-precision measurements of elastodynamic scattering fidelity.
- To compare experimental results with predictions from random matrix theory and Poissonian models.
- To investigate the influence of object geometry and symmetries on scattering fidelity.
Main Methods:
- Experimental measurements of elastodynamic scattering fidelity using two aluminum blocks (rectangular and irregular).
- Analysis of fidelity decay over time.
- Comparison of experimental data with theoretical predictions from Random Matrix Theory (Gaussian Orthogonal Ensemble) and Poissonian statistics.
Main Results:
- Fidelity decay was observed to be slower in the irregular aluminum block compared to the rectangular one.
- The time dependence of fidelity decay closely matched predictions from Random Matrix Theory (Gaussian Orthogonal Ensemble).
- Poissonian model statistics did not adequately describe the observed decay patterns.
Conclusions:
- The study validates the applicability of Random Matrix Theory to elastodynamic scattering, even in complex geometries.
- Irregular object geometry significantly influences scattering fidelity decay rates.
- Observed deviations suggest the role of partially broken reflection symmetries and inhomogeneous dissipation in scattering processes.
