Hydrodynamic analog of particle trapping with the Talbot effect
Name
PhysRevFluids.2.103602.pdf
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1.57 MB
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Author(s)
Sungar, N.
Tambasco, Lucas
Pucci, Giuseppe
Saenz Hervias, Pedro Javier
Bush, John W. M.
Date Issued
October 2017
Journal
Physical Review Fluids
Publisher
American Physical Society
Citation
Sungar, N. et al. "Hydrodynamic analog of particle trapping with the Talbot effect." Physical Review Fluids 2, 10 (October 2017): 103602 © 2017 American Physical Society
Version
Final published version
Abstract
We present the results of an experimental study of the standing waves produced on the surface of a vertically shaken fluid bath just above the Faraday threshold, when a row of equally spaced pillars protrudes from the surface. When the pillar spacing is twice the Faraday wavelength, the resulting wave field is marked by images of the pillars projected at integer multiples of a fixed distance from the row. This projection effect is shown to be analogous to the well-known Talbot or self-imaging effect in optics, and a Faraday-Talbot length is defined that rationalizes the location of the images. A simple model of point sources emitting circular waves captures the observed patterns. We demonstrate that the images may serve as traps for bouncing and walking droplets.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1103/PhysRevFluids.2.103602
