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Quasiperiodic Bloch-like states in a surface-wave experiment.
M Torres1, J P Adrados, J L Aragón
1Instituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, 28006 Madrid, Spain. manolo@iec.csic.es
Physical Review Letters
|April 12, 2003
Summary
Surface waves exhibiting Bloch-like behavior were observed in a fluid layer above a quasiperiodic surface. This demonstrates that Bloch wave concepts can apply to quasicrystals in wave propagation experiments.
Area of Science:
- Physics
- Wave Phenomena
- Materials Science
Background:
- Quasiperiodic structures exhibit unique wave interaction properties.
- Bloch's theorem describes wave propagation in periodic potentials.
- Understanding wave behavior in non-periodic systems is crucial.
Purpose of the Study:
- To investigate Bloch-like surface wave phenomena in a quasiperiodic system.
- To demonstrate the applicability of Bloch wave concepts to quasicrystals.
- To analyze transversal pulse propagation in a fluid over a structured surface.
Main Methods:
- A classic wave propagation experiment was conducted.
- Pulse propagation was studied in a shallow fluid layer.
- The fluid covered a bottom with a quasiperiodic drilling pattern.
Main Results:
- Bloch-like surface waves were observed.
- Transversal pulses propagated as plane waves with quasiperiodic modulation.
- Undulatory propagation characteristic of quasiperiodic systems was displayed.
Conclusions:
- The experimental results reinforce the applicability of Bloch function concepts to quasicrystals.
- Quasiperiodic structures can exhibit phenomena analogous to those in periodic systems.
- Wave propagation experiments provide insights into the physics of quasicrystals.