Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session N00: Poster Session II (11am-2pm PST)
11:00 AM,
Wednesday, March 8, 2023
Room: Exhibit Hall (Forum Ballroom)
Sponsoring
Unit:
APS
Abstract: N00.00269 : Band structure of a rotating helical phononic crystal*
Presenter:
Juan A REyes
(Universidad Nacional Autonoma de Mexico)
Author:
Juan A REyes
(Universidad Nacional Autonoma de Mexico)
1Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Mexico City, Mexico 2Departamento de Física Química, Instituto de Física, Universidad Nacional Autónoma de México, Mexico City, Mexico
We consider an elastic helical medium whose tensor stiffness twirls uniformly along the helix axis. We are
interested in analyzing the band structure when the whole material is externally forced to rotate around the helix
axis to a fixed constant frequency. Departing from a general dynamic description of the elastic phenomena,
we establish a set of equations for the displacement vector and the stress tensor. These equations allow us to
calculate the band structure parametrized by the externally imposed rotating frequency. We find that the band
structure strongly depends on the rotation frequency, and we show that backward and forward modes propagate
differently, particularly for the longitudinal and right-polarized modes.
*J.A.R. acknowledges partial financial support from DGAPA UNAM through Grant No. IN-100921.
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