A procedure for calibrating pressure-velocity (p-v) sound intensity probes using a progressive plane wave as reference field is presented here. The procedure has been checked for a microelectromechanical system technology-based Microflown® match-size probe by comparing the calibration results with the nominal correction curves available from the manufacturer. The reference field was generated along a wave guide by means of a dual cone loudspeaker supplying acoustic energy in the range 20 Hz–20 kHz through an impedance adaptor. Different from the current in-field procedures, the one proposed here allows the calibration of probes under test to be executed at once up to 10 kHz without any change in the experimental setup. After a detailed review of the general principles of calibration, the procedure has been finalized with three main stages: (a) determination of the full coherence calibration bandwidth of the probe, (b) comparison calibration of the probe built-in pressure microphone over the full coherence frequency range, and (c) relative calibration of the velocity sensor over the calibrated pressure one. Calibration results for the probe under test have been best fitted against the calibration filters modeled by the manufacturer and the direct comparison of the obtained data with the factory ones has been reported.

1.
F. J.
Fahy
,
Sound Intensity
, 2nd ed. (
E&FN Spon
,
London
,
1995
).
2.
D. B.
Nutter
,
T. W.
Leishman
,
S. D.
Sommerfeldt
, and
J. D.
Blotter
, “
Measurement of sound power and absorption in reverberation chambers using energy density
,”
J. Acoust. Soc. Am.
121
,
2700
2710
(
2007
).
3.
N.
Prodi
and
D.
Stanzial
, “
A novel intensimetric technique for monitoring the radiative properties of sound fields
,”
J. Audio Eng. Soc.
47
,
363
372
(
1999
).
4.
D.
Stanzial
, “
On the intensimetric analysis and monitoring of flue organ pipes
,”
Proceedings of the Forum Acusticum 2005
,
Budapest, Hungary
, 29 August–2 September
2005
, pp.
641
646
.
5.
D.
Stanzial
, “
From Guidonian hand to sound energy compass
,”
Proceedings of the Forum Acusticum 2005
,
Budapest, Hungary
, 29 August–2 September
2005
, pp.
331
334
.
6.
J. W.
Parkins
,
S. D.
Sommerfeldt
,
J.
Tichy
, “
Narrowband and broadband active control in an enclosure using the acoustic energy density
,”
J. Acoust. Soc. Am.
108
,
192
203
(
2000
).
7.
D.
Bonsi
,
D.
Gonzalez
, and
D.
Stanzial
, “
Quadraphonic impulse responses for acoustic enhancement of audio tracks: measurement and analysis
,”
Proceedings of the Forum Acusticum 2005
,
Budapest, Hungary
, 29 August–2 September
2005
, pp.
335
340
.
8.
D.
Stanzial
,
G.
Sacchi
, and
G.
Schiffrer
, “
Active playback of acoustic quadraphonic sound events
,”
Proc. Meet. Acoust.
4
,
1
12
, 015003 (
2008
).
9.
D.
Stanzial
, “
Sabine’s formula revisited with acoustic quadraphony
,”
Proceedings of the 19th International Conference on Acoustics, ICA 2007
, 1-6, Madrid, Spain, 2–7 September 2007, revised edition, http://www.sea-acustica.es/WEB_ICA_07/fchrs/papers/rba-16-003.pdf (date last viewed 5 April 2011).
10.
D.
Stanzial
and
G.
Schiffrer
, “
On the connection between energy velocity, reverberation time and angular momentum
,”
J. Sound Vibrat.
329
,
931
943
(
2010
).
11.
G.
Sacchi
and
D.
Stanzial
, “
A new method for axial p-v probe calibration
,”
Proceedings of ICSV16
,
Krakòw, Poland
, 5–9 July
2009
, pp.
1
6
, paper no. 765.
12.
F.
Jacobsen
and
V.
Jaud
, “
A note on the calibration of pressure-velocity sound intensity probes
,”
J. Acoust. Soc. Am.
120
,
830
837
(
2006
).
13.
D.
Stanzial
and
D.
Bonsi
, “
Calibration of the p-v Microflown® probe and some considerations on the physical nature of sound impedance
,”
Proceedings of Euronoise2003
,
Naples, Italy
, 19–21 May
2003
, pp.
1
6
, paper no. 149.
14.
T.
Basten
and
H.-E.
De Bree
, “
A full bandwidth calibration procedure for acoustic probes containing a pressure and particle velocity sensor
,”
J. Acoust. Soc. Am.
127
,
264
270
(
2010
).
15.
D. R.
Yntema
,
W. F.
Druyvesteyn
, and
M.
Elwenspoek
, “
A four particle velocity sensor device
,”
J. Acoust. Soc. Am.
119
,
943
951
(
2006
).
16.
V. B.
Svetovoy
and
I. A.
Winter
, “
Model of the µ-flown microphone
,”
Sens. Actuators
86
,
171
181
(
2000
).
17.
G.
Schiffrer
and
D.
Stanzial
, “
Energetic properties of acoustic fields
,”
J. Acoust. Soc. Am.
96
,
3645
3653
(
1994
).
18.
A. H.
Zemanian
, “
Passive systems
,”
Distribution Theory and Transform Analysis
(
Dover
,
New York
,
1987
), Chap. 10.
19.
This is the usual notation describing the link between a physical quantity under measurement g and its measured value gR in a certain system of units, as given by the adimensional ratio g=g/[g], where [g] is the “sample”—i.e. a physical quantity having the same physical nature of g—adopted by international standards to serve as the measurement unit of g.
20.
L. L.
Beranek
,
Acoustical Measurements
, revised ed. (
ASA
,
Melville, NY
,
1988
), Chap. 4, pp.
113
148
,
21.
J.
Wolfe
,
J.
Smith
,
J.
Tann
, and
N. H.
Fletcher
, “
Acoustic impedance of classical and modern flutes
,”
J. Sound Vibrat.
243
,
127
144
(
2001
).
22.
N. H.
Fletcher
and
T. D.
Rossing
,
The Physics of Musical Instruments
, 2nd ed. (
Springer
,
New York
,
1998
), Chap.8, pp.
193
196
.
23.
S.
Temkin
,
Elements of Acoustics
(
ASA
,
Melville, NY
,
2001
), pp.
410
421
.
24.
In fact the Helmholtz–Kirchoff wall-attenuation coefficient of Ref. 23 (Formula 6.6.16, p. 417) can be rewritten in terms of frequency f as α(f)=πν0f[1+(γ-1)Pr-1/2]/cR, where ν0 is the kinematic viscosity, γ the adiabatic index, Pr the Prandtl number, c the sound velocity, and R the radius of the guide. The numerical factor 3.24 × 10−3 is then obtained for a temperature of 15 °C by putting ν0 = 1.44 × 10−5 m2 s−1, γ = 1.4, Pr = 0.714, c = 340 m s−1, and R = 0.9 × 10−2 m.
25.
H.-E.
de Bree
, P. Leussink, T. Korthorst, H. Jansen, T. S. J. Lammerink and M. Elwenspoek, “
The microflown: a novel device for measuring acoustic flows
,”
Sen. Actuators, A
54
(
1–3
),
552
557
(
1996
).
26.
D. H.
Towne
,
Wave Phenomena
(
Dover
,
New York
,
1988
), Chap. 4, pp.
72
73
.
You do not currently have access to this content.