Dipolar localization of waves in twisted phononic crystal plates
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Title
Dipolar localization of waves in twisted phononic crystal platesDate
2021-01-11Publisher
American Physical SocietyISSN
2331-7019Bibliographic citation
Martí-Sabaté, M., & Torrent, D. (2021). Dipolar Localization of Waves in Twisted Phononic Crystal Plates. Physical Review Applied, 15(1). doi: 10.1103/physrevapplied.15.l011001Type
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Abstract
The localization of waves in two-dimensional clusters of scatterers arranged in relatively twisted
lattices is studied by multiple scattering theory. It is found that, for a given frequency, it is always
possible ... [+]
The localization of waves in two-dimensional clusters of scatterers arranged in relatively twisted
lattices is studied by multiple scattering theory. It is found that, for a given frequency, it is always
possible to nd localized modes for a discrete set of rotation angles, analogous to the so-called \magic
angles" recently found in two-dimensional materials like graphene. Similarly, for small rotations of
the lattices, a large number of resonant frequencies is found, whose position strongly depends on
the rotation angle. Moreover, for angles close to those that make the two lattices commensurable a
single mode appears that can be easily tuned by the rotation angle. Unlike other twisted materials,
where the properties of the bilayers are mainly explained in terms of the dispersion relation of the
individual lattices, the special angles in these clusters happen because of the formation of dipolar
scatterers due to the relative rotation between the two lattices, enhancing therefore their interaction.
While the presented results are valid for any type of wave, the speci c case of exural waves in thin
elastic plates is numerically studied, and the di erent modes found are comprehensively explained
in terms of the interaction between pairs of scatterers. The analysis presented here shows that
these structures are promising candidates for the inverse design of tunable wave-trapping devices
for classical waves. [-]
Is part of
Physical Review Applied, Vol. 15, Iss. 1 — January 2021Funder Name
Ministerio de Ciencia, Innovación y Universidades
Project code
MCIU/ICTI2017-2020/RTI2018-093921-A-C42
Project title or grant
arXiv:2007.03733v3
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