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Bragg's reflection for walking droplets in 1D crystals
- Publication Year :
- 2019
-
Abstract
- A walking droplet possesses fascinating properties due to its peculiar wave/particle interaction. The self-propelling motion of such a droplet is driven by the Faraday instability triggered around the droplet at each impact. We studied in this article how such a droplet behaves in an annular cavity where a periodic pattern is placed underneath the liquid-air interface, altering the Faraday instability. We show that, while the annulus ensures a circular motion of the droplet, the periodic pattern affects the global droplet motion. Similarly to electromagnetic waves in photonic crystals, the average droplet speed nearly vanishes when the pattern has a characteristic length close to half the Faraday wavelength. This effect opens ways to design guides, reflectors, lattices and metamaterials for such macroscopic particles.<br />Comment: 6 pages, 5 figures, 1 movie. arXiv admin note: text overlap with arXiv:1504.00484
- Subjects :
- Physics - Fluid Dynamics
Condensed Matter - Materials Science
74J15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1904.05778
- Document Type :
- Working Paper