When one end of a transmission line is connected to a broadband noise generator, sharp peaks are visible in the cross-correlation function of the signals at both ends of the line. The speed of the electromagnetic waves can be deduced from the time when the peaks appear. The method is suitable for introducing the concepts of cross-correlation functions and noise analysis in an undergraduate physics laboratory.
REFERENCES
1.
P.
Nakroshis
, M.
Amoroso
, J.
Legere
, and C.
Smith
, “Measuring Boltzmann’s constant using video microscopy of Brownian motion
,” Am. J. Phys.
71
(6
), 568
–573
(2003
).2.
Y.
Krafmakher
, “Two student experiments on electrical fluctuations
,” Am. J. Phys.
63
(10
), 932
–935
(1995
).3.
C.
Beenakker
and C.
Schönenberger
, “Quantum shot noise
,” Phys. Today
56
(5
), 37
–42
(2003
).4.
N.
Garnier
and S.
Ciliberto
, “Nonequilibrium fluctuations in a resistor
,” Phys. Rev. E
71
, 060101
–1
(2005
).5.
6.
R.
Snieder
and K.
Wapenaar
, “Imaging with ambient noise
,” Phys. Today
63
(9
), 44
–49
(2010
).7.
Y.
Kraftmakher
, “Correlation analysis with ScienceWorkshop
,” Am. J. Phys.
70
(7
), 694
–697
(2002
).8.
G. H.
Watson
, “Transmission line excercises for the introductory physics laboratory
,” Am. J. Phys.
63
(5
), 423
–425
(1995
).9.
Se-yuen
Mak
, “Speed of radio waves along a coaxial transmission line
,” Am. J. Phys.
72
(5
), 671
–675
(2004
).10.
I stored the acquired signal using the USB flash memory connection of the oscilloscope. Alternatively, the oscilloscope can be controlled directly from a computer via a USB connection. Depending on the software version and settings, the two channels may be acquired in sequence, not simultaneously, thus destroying the expected temporal correlation.
11.
See www.tti-arb.com.
© 2011 American Association of Physics Teachers.
2011
American Association of Physics Teachers
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