Two-Dimensional Classical Wave Localization in a Third Sound System

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Two-Dimensional Classical Wave Localization in a Third Sound System
D. R. Luhman, J. C. Herrmann, and R. B. Hallock
Department of Physics, University of Massachusetts Amherst, Amherst, MA 01003, USA
Patterned calcium fluoride on glass creates an effective two-dimensional scatterer of third sound propagating in a thin 4 He film. We have utilized a substrate with a periodic arrangement of scatterers and a
substrate with a random arrangement of scatterers to investigate classical wave propagation and localization using third sound. We observe pass bands on the periodic substrate while only low frequency modes
are observed in the disordered case. The presence of high frequency modes on the ordered substrate and
the absence of high frequency modes on the disordered substrate indicates we are observing localization
on the disordered substrate. We compare the disordered data to the two-dimensional localization theory
of Cohen and Machta1 and find reasonable agreement.
1
S.M. Cohen and J. Machta, Phys. Rev. Lett. 54, 2242 (1985)
Sorting category: Ac Quantum gases, fluids and solids
Keywords: Third Sound, Localization
LT1295
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