Experimental evidence of surface waves above thin porous layers of thickness varying from 1.8 to 6 mm of plastic foams having a porosity close to one is presented. Phase velocity measurements at 40 kHz indicate the presence of waves propagating slower than homogeneous plane waves. The pole of the reflection coefficient related to these waves is detected by near-field holography at 20 kHz. The different experimental results are compared with predictions obtained by replacing the air inside the layers by an equivalent fluid, and using methods developed in the context of electromagnetism to localize the poles of the reflection coefficient.
REFERENCES
1.
K. M.
Ivanov-Shits
and F. V.
Rozhin
, “Investigations of surface waves in air
,” Sov. Phys. Acoust.
5
, 510
–512
(1960
).2.
S.
Feng
and D. L.
Johnson
, “High-frequency acoustic properties of a fluid/porous solid interface. I. New surface mode
,” J. Acoust. Soc. Am.
74
, 906
–914
(1983
).3.
S.
Feng
and D. L.
Johnson
, “High-frequency acoustic properties of a fluid/porous solid interface. II. The 2D reflection Green’s function
,” J. Acoust. Soc. Am.
74
, 915
–924
(1983
).4.
M. J.
Mayes
, P. B.
Nagy
, L.
Adler
, B. P.
Bonner
, and R.
Streit
, “Excitation of surface waves of different modes at fluid-porous solid interface
,” J. Acoust. Soc. Am.
79
, 249
–251
(1986
).5.
P. B.
Nagy
, “Observation of a new surface mode on a fluid-saturated permeable solid
,” Appl. Phys. Lett.
60
, 2735
–2737
(1992
).6.
G.
Daigle
, M. R.
Stinson
, and D. I.
Havelock
, “Experiment on surface wave over a model impedance plane using acoustical pulses
,” J. Acoust. Soc. Am.
99
, 1993
–2005
(1996
).7.
J.
Tizianel
, J. F.
Allard
, W.
Lauriks
, and L.
Kelders
, “Experimental localization of a pole of the reflection coefficient of a porous layer
,” J. Sound Vib.
202
, 600
–604
(1997
).8.
M.
Tamura
, “Spatial Fourier transform method of measuring reflection coefficient of porous layers at oblique incidence
,” J. Acoust. Soc. Am.
88
, 2259
–2264
(1990
).9.
B.
Brouard
, D.
Lafarge
, J. F.
Allard
, and M.
Tamura
, “Measurements and prediction of the reflection coefficient of porous layers at oblique incidence and for inhomogeneous waves
,” J. Acoust. Soc. Am.
99
, 100
–107
(1996
).10.
J. F. Allard, Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials (Chapman & Hall, London, 1993).
11.
R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960).
12.
A.
Bardot
, B.
Brouard
, and J. F.
Allard
, “Frame decoupling at low frequencies in thin porous layers saturated by air
,” J. Appl. Phys.
79
, 8223
–8229
(1996
).13.
D. L.
Johnson
, J.
Koplik
, and L. M.
Schwarz
, “New pore size parameter characterizing transport in porous media
,” Phys. Rev. Lett.
57
, 2564
–2567
(1986
).14.
D. L.
Johnson
, J.
Koplik
, and R.
Dashen
, “Theory of dynamic permeability and tortuosity in fluid saturated porous media
,” J. Fluid Mech.
176
, 379
–402
(1987
).15.
Y.
Champoux
and J. F.
Allard
, “Dynamic tortuosity and bulk modulus in air-saturated porous media
,” J. Appl. Phys.
70
, 1975
–1979
(1991
).16.
P.
Leclaire
, M.
Kelders
, W.
Lauriks
, J. F.
Allard
, and C.
Glorieux
, “Ultrasonic wave propagation in reticulated foams saturated by different gases: High frequency limit of the classical models
,” Appl. Phys. Lett.
69
, 2641
–2643
(1997
).17.
M.
Henry
, P.
Lemarinier
, J. F.
Allard
, J. L.
Bonardet
, and A.
Gedeon
, “The evaluation of the characteristic dimensions for porous sound absorbing materials
,” J. Appl. Phys.
77
, 17
–20
(1995
).18.
J. F.
Allard
, B.
Castagnède
, M.
Henry
, and W.
Lauriks
, “Evaluation of tortuosity in acoustic porous materials saturated by air
,” Rev. Sci. Instrum.
65
, 754
–755
(1994
).19.
P.
Leclaire
, L.
Kelders
, W.
Lauriks
, M.
Melon
, N.
Brown
, and B.
Castagnède
, “Determination of the viscous and thermal characteristic lengths of plastic foams by ultrasonic measurements in helium and air
,” J. Appl. Phys.
80
, 2009
–2012
(1996
).20.
I.
Tolstoy
, “Smoothed boundary conditions, coherent low-frequency scatter, and boundary modes
,” J. Acoust. Soc. Am.
75
, 1
–22
(1984
).21.
M. Deschamps, “Reflection and refraction of the inhomogeneous wave,” in Acoustic Interaction with Submerged Elastic Structure, edited by D. Inman and A. Guran (World Scientific, Singapore, 1996).
22.
L. M. Brekhovskikh and O. A. Godin, Acoustics of Layered Media II, Point Source and Bounded Beams (Springer series on wave phenomena, Springer-Verlag, New York, 1992).
23.
T.
Tamir
and A. A.
Oliner
, “Guided complex waves. Part I. Fields at an interface
,” Proc. IEEE
110
, 310
–324
(1963
).24.
J. Tizianel, J. F. Allard, and B. Brouard, “Surface waves above honeycombs,” J. Acoust. Soc. Am. (submitted).
This content is only available via PDF.
© 1998 Acoustical Society of America.
1998
Acoustical Society of America
You do not currently have access to this content.