We describe broadband calibration of a magnetic induction probe using a network analyzer. Our procedure uses a small driver coil and the scattering matrix associated with the coil-probe pair. This allows rapid, high-resolution measurements of the amplitude and phase of the probe’s response to oscillating magnetic fields. Our setup gives high accuracy between 100kHz and 100MHz and less accuracy outside this range. We present over 1800 sensitivity measurements between 30kHz and 1GHz. The ideal probe response is compared to calibrations done with two different driver coils. We discuss several hurdles in probe design and calibration, as well as several high-frequency effects.

1.
R.
Wang
,
F.
Li
, and
M.
Tabib-Azar
,
Rev. Sci. Instrum.
76
,
054701
(
2005
).
2.
K.
Nykyri
,
P. J.
Cargill
,
E. A.
Lucek
,
T. S.
Horbury
,
A.
Balogh
,
N.
Lavraud
,
I.
Dandouras
, and
H.
Reme
,
Geophys. Res. Lett.
30
,
2263
(
2003
).
3.
D. P.
Choudhary
,
EOS Trans. A. G. U.
86
,
128
(
2005
).
4.
M. C.
Kelley
and
R. A.
Heelia
,
The Earth’s Ionosphere: Plasma Physics and Electrodynamics
(
Academic
,
New York/Harcourt Brace Jovanovich, San Deigo
,
1989
), pp.
446
449
.
5.
R. H.
Pursley
,
G.
Salem
,
T. J.
Pohida
,
N.
Devasahayam
,
S.
Subramanian
, and
M. C.
Krishna
,
Rev. Sci. Instrum.
76
,
053709
(
2005
).
6.
T.
Okuchi
,
R. J.
Hemley
, and
H.
Mao
,
Rev. Sci. Instrum.
76
,
026111
(
2005
).
7.
M.
Yamada
 et al.,
Phys. Plasmas
4
,
1936
(
1997
).
8.
D. C.
Black
and
R. M.
Mayo
,
Rev. Sci. Instrum.
67
,
1508
(
1996
).
9.
A. M.
Iskol’dskii
,
R.
Kh. Kurtmullaev
,
Yu. E.
Nesterikhin
, and
A. G.
Ponomarenko
,
J. Exptl. Theor. Phys.
47
,
774
(
1964
).
10.
W.
Gekelman
and
H.
Pfister
,
Phys. Fluids
31
,
2017
(
1988
).
11.
R. E.
Collin
,
Foundations for Microwave Engineering
, 2nd ed. (
McGraw-Hill
,
New York
,
1992
), pp.
78
80
,
89
96
,
248
257
.
12.
R. S.
Elliott
,
Antenna Theory and Design
(
Prentice-Hall
,
Englewood Cliffs, NJ
,
1981
), pp.
68
73
.
13.
R. C.
Phillips
and
E. B.
Turner
,
Rev. Sci. Instrum.
36
,
12
(
1965
).
14.
H. G.
Smith
and
R. H.
Goulding
,
DOE-Energy Research Undergraduate Laboratory Fellowship student presentation at Oak Ridge National Laboratory
, 8 August 2001, abstract available at http://www.scied.science.doe. gov/scied/Abstracts2001/ORNLphys.htm
15.
T.
Carter
(private communication).
16.
C. M.
Weil
,
D. R.
Novotny
,
R. T.
Johnk
, and
A.
Ondrejka
,
Conference proceedings of the 14th International Conference on Microwaves, Radar and Wireless Communications
, MIKON-2002 (
IEEE
,
New York
,
2002
), Catalog No. 02EX562, Vol.
2
, pp.
404
407
.
17.
J.
Včelák
,
J. Appl. Phys.
99
,
08D913
(
2006
).
18.
J.
Maes
,
K.
Iakoubovskii
,
M.
Hayne
,
A.
Stesmans
, and
V. V.
Moshchalkov
,
J. Phys. D
37
,
1102
(
2004
).
19.
J. D.
Huba
,
NRL Plasma Formulary
(
U. S. Naval Research Laboratory
,
Washington DC
,
2002
), p.
20
.
20.
R.
Stenzel
and
G.
Gloubyatnikov
,
Phys. Fluids B
5
,
3789
(
1993
).
21.
C. M.
Franck
,
O.
Grulke
, and
T.
Klinger
,
Rev. Sci. Instrum.
73
,
11
(
2002
).
22.
J. D.
Jackson
,
Classical Electrodynamics
, 2nd ed. (
Wiley
,
New York
,
1975
), pp.
334
339
.
23.
J.
Yang
,
Y.
Choi
,
B.
Kim
,
N.
Yoon
, and
S.
Hwang
,
Rev. Sci. Instrum.
70
,
3774
(
1999
).
24.
A.
Sedra
and
K. C.
Smith
,
Microelectronic Circuits
(
Oxford University Press
,
New York
,
1998
), pp.
B
1
B
7
.
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