The feasibility of tuning the band structure of phononic crystals is demonstrated by employing magnetostrictive materials and applying an external magnetic field. Band structures are calculated with a plane wave expansion method that accounts for coupling between the elastic behavior and the magnetic field through the development of elastic, piezomagnetic, and magnetic permeability effective tensors. We show the contactless tunability of the absolute band gaps of a two-dimensional phononic crystal composed of an epoxy matrix and Terfenol-D inclusions. The tunable phononic crystal behaves like a transmission switch for elastic waves when the magnitude of an applied magnetic field crosses a threshold.
REFERENCES
1.
J. O.
Vasseur
, B.
Djafari-Rouhani
, L.
Dobrzynski
, M. S.
Kushwaha
, and P.
Halevi
, J. Phys.: Condens. Matter
6
, 8759
(1994
).2.
S.
Yang
, J. H.
Page
, Z.
Liu
, M. L.
Cowan
, C. T.
Chan
, and P.
Sheng
, Phys. Rev. Lett.
93
, 024301
(2004
).3.
D.
Garcia-Pablos
, M.
Sigalas
, F. R. M.
de Espinosa
, M.
Torres
, M.
Kafesaki
, and N.
Garcia
, Phys. Rev. Lett.
84
, 4349
(2000
).4.
T.
Miyashita
and C.
Inoue
, Jpn. J. Appl. Phys., Part 1
40
, 3488
(2001
).5.
A.
Sukhovich
, B.
Merheb
, K.
Muralidharan
, J. O.
Vasseur
, Y.
Pennec
, P. A.
Deymier
, and J. H.
Page
, Phys. Rev. Lett.
102
, 154301
(2009
).6.
C.
Goffaux
and J.
Vigneron
, Phys. Rev. B
64
, 075118
(2001
).7.
J.
Baumgartl
, M.
Zvyagolskaya
, and C.
Bechinger
, Phys. Rev. Lett.
99
, 205503
(2007
).8.
J. -Y.
Yeh
, Physica B
400
, 137
(2007
).9.
Z. -G.
Huang
and T. -T.
Wu
, IEEE Trans. Ultrason. Ferroelectr. Freq. Control
52
, 365
(2005
).10.
K.
Bertoldi
and M.
Boyce
, Phys. Rev. B
77
, 052105
(2008
).11.
J.
Cullen
, S.
Rinaldi
, and G.
Blessing
, J. Appl. Phys.
49
, 1960
(1978
).12.
Y. -Z.
Wang
, F. -M.
Li
, W. -H.
Huang
, X.
Jiang
, Y. -S.
Wang
, and K.
Kishimoto
, Int. J. Solids Struct.
45
, 4203
(2008
).13.
Y. -Z.
Wang
, F. -M.
Li
, K.
Kishimoto
, Y. -S.
Wang
, W. -H.
Huang
, and X.
Jiang
, Wave Motion
46
, 47
(2009
).14.
R.
LeCraw
and R.
Comstock
, Physical Acoustics: Principles and Methods, Vol. III, Part B: Lattice Dynamics
, edited by W. P.
Mason
(Academic
, New York
, 1965
).15.
I.
Mirsaev
, Phys. Solid State
40
, 1884
(1998
).16.
A.
Gurevich
and G.
Melkov
, Magnetization Oscillations and Waves
(CRC
, Boca Raton
, 1996
).17.
18.
H.
Suhl
, Phys. Rev.
97
, 555
(1955
).19.
Epoxy is assumed elastically isotropic and the parameters used are: , , and .
20.
V.
Ozhogin
and V.
Preobrazhenskii
, J. Magn. Magn. Mater.
100
, 544
(1991
).© 2009 American Institute of Physics.
2009
American Institute of Physics
You do not currently have access to this content.
