Beating resonance patterns and extreme power flux skewing in anisotropic elastic plates
Abstract
Elastic waves in anisotropic media can exhibit a power flux that is not collinear with the wave vector. This has notable consequences for waves guided in a plate. Through laser-ultrasonic experiments, we evidence remarkable phenomena due to slow waves in a single-crystal silicon wafer. Waves exhibiting power flux orthogonal to their wave vector are identified. A pulsed line source that excites these waves reveals a wave packet radiated parallel to the line. Furthermore, there exist precisely eight plane waves with zero power flux. These so-called zero–group-velocity modes are oriented along the crystal’s principal axes. Time acts as a filter in the wave-vector domain that selects these modes. Thus, a point source leads to beating resonance patterns with moving nodal curves on the surface of the infinite plate. We observe this pattern as it emerges naturally after a pulsed excitation.
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BibTeX
@article{kiefer2026beating,
title = {{Beating resonance patterns and extreme power flux skewing in anisotropic elastic plates}},
author = {Daniel A Kiefer and Sylvain Mezil and Claire Prada},
journal = {Science Advances},
year = {2026},
month = aug,
doi = {10.1126/sciadv.adk6846},
eprint = {2307.14259},
archivePrefix = {arXiv},
url = {https://hal.science/hal-04794869v1},
note = {CC BY-NC 4.0},
}
RIS
TY - JOUR
TI - Beating resonance patterns and extreme power flux skewing in anisotropic elastic plates
AU - Daniel A Kiefer
AU - Sylvain Mezil
AU - Claire Prada
PY - 2026
DA - 2026/08/31
JO - Science Advances
DO - 10.1126/sciadv.adk6846
UR - https://hal.science/hal-04794869v1
AB - Elastic waves in anisotropic media can exhibit a power flux that is not collinear with the wave vector. This has notable consequences for waves guided in a plate. Through laser-ultrasonic experiments, we evidence remarkable phenomena due to slow waves in a single-crystal silicon wafer. Waves exhibiting power flux orthogonal to their wave vector are identified. A pulsed line source that excites these waves reveals a wave packet radiated parallel to the line. Furthermore, there exist precisely eight plane waves with zero power flux. These so-called zero–group-velocity modes are oriented along the crystal’s principal axes. Time acts as a filter in the wave-vector domain that selects these modes. Thus, a point source leads to beating resonance patterns with moving nodal curves on the surface of the infinite plate. We observe this pattern as it emerges naturally after a pulsed excitation.
SN - 2375-2548
ER -