Tailoring phonon band structures with broken symmetry by shaping spatiotemporal modulations of stiffness in a one-dimensional elastic waveguide

Pierre A Deymier, Vitthal Gole, Pierre Lucas, Jérôme O. Vasseur, Keith A Runge

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Spatiotemporal modulations of the elastic properties of materials can be used to break time and parity symmetry of elastic waves. We show that the form of the elastic band structure depends not only on the spatial and temporal periodicity of a spatiotemporal modulation but also on its shape through its Fourier components. We demonstrate that hybridization gaps open from interactions between the Bloch modes of the periodic medium in absence of the temporal variation of the modulation and the combined sinusoidal components of the Fourier decomposition of the periodic modulation.

Original languageEnglish (US)
Article number064304
JournalPhysical Review B
Volume96
Issue number6
DOIs
StatePublished - Aug 17 2017

Fingerprint

Crystal symmetry
Band structure
stiffness
broken symmetry
Waveguides
Stiffness
Modulation
waveguides
modulation
Elastic waves
elastic waves
periodic variations
parity
elastic properties
Decomposition
decomposition
symmetry
interactions

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

@article{e0d735c97ec94d83a76a0addc6acfb02,
title = "Tailoring phonon band structures with broken symmetry by shaping spatiotemporal modulations of stiffness in a one-dimensional elastic waveguide",
abstract = "Spatiotemporal modulations of the elastic properties of materials can be used to break time and parity symmetry of elastic waves. We show that the form of the elastic band structure depends not only on the spatial and temporal periodicity of a spatiotemporal modulation but also on its shape through its Fourier components. We demonstrate that hybridization gaps open from interactions between the Bloch modes of the periodic medium in absence of the temporal variation of the modulation and the combined sinusoidal components of the Fourier decomposition of the periodic modulation.",
author = "Deymier, {Pierre A} and Vitthal Gole and Pierre Lucas and Vasseur, {J{\'e}r{\^o}me O.} and Runge, {Keith A}",
year = "2017",
month = "8",
day = "17",
doi = "10.1103/PhysRevB.96.064304",
language = "English (US)",
volume = "96",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Tailoring phonon band structures with broken symmetry by shaping spatiotemporal modulations of stiffness in a one-dimensional elastic waveguide

AU - Deymier, Pierre A

AU - Gole, Vitthal

AU - Lucas, Pierre

AU - Vasseur, Jérôme O.

AU - Runge, Keith A

PY - 2017/8/17

Y1 - 2017/8/17

N2 - Spatiotemporal modulations of the elastic properties of materials can be used to break time and parity symmetry of elastic waves. We show that the form of the elastic band structure depends not only on the spatial and temporal periodicity of a spatiotemporal modulation but also on its shape through its Fourier components. We demonstrate that hybridization gaps open from interactions between the Bloch modes of the periodic medium in absence of the temporal variation of the modulation and the combined sinusoidal components of the Fourier decomposition of the periodic modulation.

AB - Spatiotemporal modulations of the elastic properties of materials can be used to break time and parity symmetry of elastic waves. We show that the form of the elastic band structure depends not only on the spatial and temporal periodicity of a spatiotemporal modulation but also on its shape through its Fourier components. We demonstrate that hybridization gaps open from interactions between the Bloch modes of the periodic medium in absence of the temporal variation of the modulation and the combined sinusoidal components of the Fourier decomposition of the periodic modulation.

UR - http://www.scopus.com/inward/record.url?scp=85028713751&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85028713751&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.96.064304

DO - 10.1103/PhysRevB.96.064304

M3 - Article

AN - SCOPUS:85028713751

VL - 96

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 6

M1 - 064304

ER -