We describe a simple method for generating capillary waves of a known frequency on a liquid surface. A noncontact technique based on laser diffraction is introduced to measure the wavelength of the capillary waves with great precision. The data give the dispersion relation of capillary waves and provide an accurate method for determining the relation between the surface tension and the temperature in a nondestructive way.

1.
J.
Dong
,
R. C.
Miao
,
J. X.
Qi
, and
F. J.
Li
, “
Unusual distribution of the diffraction patterns from liquid surface waves
,”
J. Appl. Phys.
100
,
033108
1
(
2006
).
2.
F.
Behroozi
and
P. S.
Behroozi
, “
Efficient deconvolution of noisy periodic interference signals
,”
J. Opt. Soc. Am. A
23
(
4
),
902
905
(
2006
).
3.
R. C.
Miao
,
X. F.
Zhao
, and
J.
Shi
, “
Modulated interference of reflected light from a liquid surface wave at tens Hertz frequencies
,”
Opt. Commun.
259
(
2
),
592
597
(
2006
).
4.
T. K.
Barik
,
A.
Roy
, and
S.
Kar
, “
A simple experiment on diffraction of light by interfering liquid surface waves
,”
Am. J. Phys.
73
(
8
),
725
729
(
2005
).
5.
R. C.
Miao
,
Z. L.
Yang
,
J. T.
Zhu
, and
C. Y.
Shen
, “
Visualization of low-frequency liquid surface acoustic waves by means of optical diffraction
,”
Appl. Phys. Lett.
80
(
17
),
3033
3035
(
2002
).
6.
F.
Behroozi
,
B.
Lambert
, and
B.
Buhrow
, “
Direct measurement of the attenuation of capillary waves by laser interferometry: Noncontact determination of viscosity
,”
Appl. Phys. Lett.
78
(
16
),
2399
2401
(
2001
).
7.
J. D.
Barter
and
P. H. Y.
Lee
, “
Imaging surface-wave analyzer for liquid surfaces
,”
Appl. Opt.
36
(
12
),
2630
2635
(
1997
).
8.
W. M.
Klipstein
,
J. S.
Radnich
, and
S. K.
Lamoreaux
, “
Thermally excited liquid surface waves and their study through the quasielastic scattering of light
,”
Am. J. Phys.
64
(
6
),
758
765
(
1996
).
9.
G.
Weisbuch
and
F.
Garbay
, “
Light scattering by surface tension waves
,”
Am. J. Phys.
47
(
4
),
355
356
(
1979
).
10.
J. D.
Barter
, “
A capacitive antenna for measurement of the dispersion relation of capillary waves on water
,”
Rev. Sci. Instrum.
64
(
2
),
556
560
(
1993
).
11.
F.
Behroozi
and
A.
Perkins
, “
Direct measurement of the dispersion relation of capillary waves by laser interferometry
,”
Am. J. Phys.
74
(
11
),
957
961
(
2006
).
12.
E.
Hecht
,
Optics
, 4th ed. (
Addison-Wesley
,
New York
,
2002
), p.
482
.
13.
M.
Born
and
E.
Wolf
,
Principles of Optics
, 6th ed. (
Pergamon
,
Oxford
,
1980
), pp.
403
405
.
14.
P. G.
Klemens
, “
Dispersion relations for waves on liquid surfaces
,”
Am. J. Phys.
52
(
5
),
451
452
(
1984
).
15.
T. M.
Bohanon
,
J. M.
Mikrut
,
B. M.
Abraham
, and
J. B.
Ketterson
, “
Fiber-optic detection system for capillary waves: An apparatus for studying liquid surfaces and spread monolayers
,”
Rev. Sci. Instrum.
62
(
12
),
2959
2962
(
1991
).
16.
G. Q.
Liu
,
L. X.
Ma
, and
J.
Liu
,
Handbook of Chemical Industry and Physics
(
Chemical Industry
,
Beijing
,
2002
), pp.
3
15
.
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