The ability of a single acoustic element to produce a compact time domain signal from a multi-mode solid cylindrical waveguide using a time-reversal mirror (TRM) is considered. Two, single element, longitudinal contact transducers were used to excite and receive multiple longitudinal modes in a fused quartz waveguide in a TRM experiment. The TRM is demonstrated to be effective with the limited information from a single longitudinal transducer. Experimental results are presented along with a simple interpretation that shows how a TRM with only a single element can be used as a practical sensor.

1.
Fink
,
M.
(
1997
). “
Time reversed acoustics
,”
Physics Today
50
,
34
40
.
2.
Ing
,
R. K.
, and
Fink
,
M.
(
1998
). “
Time-reversed lamb waves
,”
IEEE Trans. Ultrason., Ferroelect., Freq. Contr.
45
,
1032
1043
.
3.
Jen
,
C.-K.
,
Cao
,
B.
,
Nguyen
,
K. T.
,
Loong
,
C. A.
, and
Legoux
,
J.-G.
(
1997
). “
On-line ultrasonic monitoring of a die-casting process using buffer rods
,”
Ultrasonics
35
,
335
344
.
4.
Jen
,
C. K.
,
de Heering
,
Ph.
,
Sutcliffe
,
P.
, and
Bussiere
,
J. F.
(
1991
). “
Ultrasonic monitoring of the molten zone of single-crystal germanium
,”
Mater. Eval.
49
,
701
705
.
5.
Jen
,
C.-K.
,
Franca
,
D. R.
,
Sun
,
Z.
, and
Ihara
,
I.
(
2001
). “
Clad polymer buffer rods for polymer process monitoring
,”
Ultrasonics
39
,
81
89
.
6.
Jen
,
C. K.
,
Piche
,
L.
, and
Bussiere
,
J. F.
(
1990
). “
Long isotropic buffer rods
,”
J. Acoust. Soc. Am.
88
,
23
25
.
7.
Montaldo
,
G.
,
Roux
,
P.
,
Derode
,
A.
,
Negreira
,
C.
, and
Fink
,
M.
(
2001
). “
Generation of very high pressure pulses with 1-bit time reversal in a solid waveguide
,”
J. Acoust. Soc. Am.
110
,
2849
2857
.
8.
Peterson
,
M. L.
(
1994
). “
A signal processing technique for measurement of multi-mode waveguide signals: An application to monitoring of reaction bonding in silicon nitride
,”
Res. Nondestr. Eval.
5
,
239
256
.
9.
Peterson
,
M. L.
(
1999
). “
Prediction of longitudinal disturbances in a multi-mode cylindrical waveguide
,”
Exp. Mech.
39
,
36
42
.
10.
Puckett, A. D., and Peterson, M. L. (2002). “Fidelity of an analytical time-reversal mirror,” in Review of Progress of Quantitative Nondestructive Evaluation, Vol. 21, edited by D. O. Thompson and D. E. Chimenti (American Institute of Physics, New York), pp. 945–952.
11.
Redwood, M. (1960). Mechanical Waveguides (Pergamon Press, New York).
12.
Thurston
,
R. N.
(
1978
). “
Elastic waves in rods and clad rods
,”
J. Acoust. Soc. Am.
64
,
1
37
.
13.
Zemanek
,
J.
(
1972
). “
An experimental and theoretical investigation of elastic wave propagation in a cylinder
,”
J. Acoust. Soc. Am.
51
,
265
283
.
This content is only available via PDF.