Acoustic intensity is a vector quantity described by collocated measurements of acoustic pressure and particle velocity. In an ocean waveguide, the interaction among multipath arrivals of propagating wavefronts manifests unique behavior in the acoustic intensity. The instantaneous intensity, or energy flux, contains two components: a propagating and non-propagating energy flux. The instantaneous intensity is described by the time-dependent complex intensity, where the propagating and non-propagating energy fluxes are modulated by the active and reactive intensity envelopes, respectively. Properties of complex intensity are observed in data collected on a vertical line array during the transverse acoustic variability experiment (TAVEX) that took place in August of 2008, 17 km northeast of the Ieodo ocean research station in the East China Sea, 63 m depth. Parabolic equation (PE) simulations of the TAVEX waveguide supplement the experimental data set and provide a detailed analysis of the spatial structure of the complex intensity. A normalized intensity quantity, the pressure-intensity index, is used to describe features of the complex intensity which have a functional relationship between range and frequency, related to the waveguide invariant. The waveguide invariant is used to describe the spatial structure of intensity in the TAVEX waveguide using data taken at discrete ranges.

1.
J. A.
Mann
 III
,
J.
Tichy
, and
A. J.
Romano
, “
Instantaneous and time averaged energy transfer in acoustic fields
,”
J. Acoust. Soc. Am.
82
,
17
30
(
1987
).
2.
F.
Jacobsen
, “
Sound field indicators: Useful tools
,”
Noise Control Eng. J.
35
(
1
),
41
46
(
1990
).
3.
V. A.
Eliseevnin
and
Yu I.
Tuzhilkin
, “
Acoustic power flux in a waveguide
,”
Acoust. Phys.
47
,
688
694
(
2001
).
4.
G. L.
D’Spain
,
D. P.
Williams
,
G.
Rovner
,
W. A.
Kuperman
, and the SWARM 95 Team, “
Energy flow in interference fields
,” Proceedings of Ocean Acoustic Interference Phenomena and Signal Processing (
2002
), pp.
171
203
.
5.
Qun -yan
Ren
,
J.-P.
Hermand
, and
Sheng -chun
Pial
, “
The interference phenomena of broad-band vector field and striation processing
,” Proceedings, 4th International Conference and Exhibition on “Underwater Acoustic Measurements: Technologies & Results” (
2011
), pp.
905
912
.
6.
V. A.
Shchurov
,
Vector Acoustics of the Ocean
(
Vladivostok
,
Dalnauka
,
2006
)
, p.
16
.
7.
Gerald L.
D’Spain
,
James C.
Luby
,
Gary R.
Wilson
, and
Richard A.
Graann
, “
Vector sensors and vector sensor line arrays: Comments on optimal array gain and detection
,”
J. Acoust. Soc. Am.
120
,
171
185
(
2006
).
8.
Richard C.
Heyser
, “
Instantaneous intensity
,” Proceedings of the 81st Convention of the Audio Engineering Society, Preprint 2399 (
1986
).
9.
F. J.
Fahy
,
Sound Intensity
, 2nd ed. (
Chapman and Hall
,
London
,
1995
), p.
105
.
10.
F.
Jacobsen
, “
A note on instantaneous and time-averaged active and reactive intensity
,”
J. Sound Vib.
147
,
489
496
(
1991
).
11.
G. J.
Heard
,
M.
McDonald
,
N. R.
Chapman
, and
L.
Jaschke
, “
Underwater light bulb implosions: A useful acoustic source
,” Oceans’97, MTS/IEEE Conference Proceedings (6–9 October,
1997
), Vol.
2
, pp.
755
762
.
12.
F.
Jacobsen
, “
A note on finite difference estimation of acoustic particle velocity
,”
J. Sound Vib.
256(5)
,
849
859
(
2002
).
13.
George V.
Frisk
,
Ocean and Seabed Acoustics: A Theory of Wave Propagation
(
Prentice-Hall
,
Englewood Cliffs
,
1994
), p.
148
.
14.
F.
Jacobsen
, “
Active and reactive, coherent an incoherent sound fields
,”
J. Sound Vib.
130
(
3
),
493
507
(
1989
).
15.
D.
Rouseff
, “
Effects of shallow water internal waves on ocean acoustic striation patterns
,”
Waves Random Media
11
,
377
393
(
2001
).
16.
Jorge E.
Quijano
,
Lisa M.
Zurk
, and
Daniel
Rouseff
, “
Demonstration of the invariance principle for active sonar
,”
J. Acoust. Soc. Am.
123
,
1329
1337
(
2008
).
17.
K. L.
Cockrell
and
H.
Schmidt
, “
Passive ranging using the waveguide invariant
,”
J. Acoust. Soc. Am.
127
,
2780
2789
(
2010
).
18.
A.
Turgut
,
M.
Orr
, and
D.
Rouseff
, “
Broadband source localization using horizontal-beam acoustic intensity striations
,”
J. Acoust. Soc. Am.
127
,
73
83
(
2010
).
19.
L. M.
Brekhovskikh
and
Y. P.
Lysanov
,
Fundamentals of Ocean Acoustics
, 3rd ed. (
Springer
,
New York
,
2002
), p.
142
.
20.
Lin
Wan
,
Ji -Xun
Zhou
, and
Peter H.
Rogers
, “
Low-frequency sound speed an attenuation in sandy seabottom from long-range broadband acoustic measurements
,”
J. Acoust. Soc. Am.
128
,
578
589
(
2010
).
21.
J. S.
Youn
and
G. W.
Go
, “
Sedimentological characteristics of the surface sediments in the southern sea off Cheju Island, Korea
,”
J. Oceanological Soc. Korea
22
(
3
),
130
142
(
1987
).
22.
D.
Rouseff
and
R. C.
Spindel
, “
Modeling the waveguide invariant as a distribution
,” Proceedings of Ocean Acoustic Interference Phenomena and Signal Processing (
2002
), pp.
137
150
.
You do not currently have access to this content.