A theoretical analysis of the multiloop dc superconducting quantum interference device (SQUID) magnetometer fabricated from low‐Tc (transition temperature) or high‐Tc materials is presented. Using simple analytic formulas, the essential parameters of a multiloop magnetometer can be estimated: the effective area A, the effective SQUID inductance L, the transfer function VΦ, and the flux density noise √SB. The theoretical predictions are compared with experimental results of seven different low‐Tc versions and good agreement is found. Based on the analytical description, a high‐Tc magnetometer design with a 7 mm pickup coil and 16 parallel loops giving a sufficiently small SQUID inductance L≂145 pH is presented. At T=77 K a voltage swing 2δV≂8 μV and a white noise √SB≂8 fT/√Hz are predicted assuming a critical current I0=20 μA and a normal resistance R=2 Ω per junction and a damping resistance Rd=R across the SQUID inductance.

Topics
Superconducting quantum interference device, Magnetic equipment, Signal processing
1.
J. E.
Zimmerman
,
J. Appl. Phys.
42
,
4483
(
1971
).
Google Scholar
Crossref
Search ADS
 
2.
F.
Dettmann
,
W.
Richter
,
G.
Albrecht
, and
W.
Zahn
,
Phys. Status Solidi A
51
,
K185
(
1979
);
Google Scholar
Crossref
Search ADS
 
W.
Vodel
 and
K.
Mäkiniemi
,
Meas. Sci. Technol.
3
,
1155
(
1992
).
Google Scholar
Crossref
Search ADS
 
3.
W. M.
Cromar
 and
P.
Carelli
,
Appl. Phys. Lett.
38
,
723
(
1981
);
Google Scholar
Crossref
Search ADS
 
P.
Carelli
 and
V.
Foglietti
,
J. Appl. Phys.
53
,
7592
(
1982
).
Google Scholar
Crossref
Search ADS
 
4.
W.
Richter
 and
F.
Dettmann
,
Phys. Status Solidi A
49
,
K209
(
1978
).
Google Scholar
Crossref
Search ADS
 
5.
P.
Carelli
 and
V.
Foglietti
,
J. Appl. Phys.
54
,
6065
(
1983
);
Google Scholar
Crossref
Search ADS
 
P.
Carelli
,
M. G.
Castellano
,
L.
Chiaventi
,
R.
Leoni
,
M.
Cirillo
, and
I.
Modena
,
J. Appl. Phys.
74
,
4194
(
1993
).
Google Scholar
Crossref
Search ADS
 
6.
D.
Drung
,
R.
Cantor
,
M.
Peters
,
H. J.
Scheer
, and
H.
Koch
,
Appl. Phys. Lett.
57
,
406
(
1990
).
Google Scholar
Crossref
Search ADS
 
7.
D.
Drung
,
R.
Cantor
,
M.
Peters
,
T.
Ryhänen
, and
H.
Koch
,
IEEE Trans. Magn.
MAG-27
,
3001
(
1991
).
Google Scholar
 
8.
D.
Drung
 and
H.
Koch
,
IEEE Trans. Appl. Supercond.
AS-3
,
2594
(
1993
).
Google Scholar
 
9.
H.
Koch
,
R.
Cantor
,
D.
Drung
,
S. N.
Erné
,
K. P.
Matthies
,
M.
Peters
,
T.
Ryhänen
,
H. J.
Scheer
, and
H. D.
Hahlbohm
,
IEEE Trans. Magn.
MAG-27
,
2793
(
1991
).
Google Scholar
 
10.
D. Drung, IEEE Trans. Appl. Supercond. AS-5 (in press, 1995).
11.
K.
Kazami
,
Y.
Takada
,
G.
Uehara
,
N.
Matsuda
, and
H.
Kado
,
Supercond. Sci. Technol.
7
,
249
(
1994
).
Google Scholar
Crossref
Search ADS
 
12.
F.
Ludwig
,
E.
Dantsker
,
R.
Kleiner
,
D.
Koelle
,
J.
Clarke
,
S.
Knappe
,
D.
Drung
,
H.
Koch
,
N. McN.
Afford
, and
T. W.
Button
,
Appl. Phys. Lett.
66
,
1418
(
1995
).
Google Scholar
Crossref
Search ADS
 
13.
D. Reimer, M. Schilling, S. Knappe, and D. Drung, IEEE Trans. Appl. Supercond. AS-5 (in press, 1995).
14.
M. B. Ketchen, W. J. Gallagher, A. W. Kleinsasser, S. Murphy, and J. R. Clem, in Superconducting Quantum Interference Devices and Their Applications, edited by H. D. Hahlbohm and H. Lübbig (Walter de Gruyter, Berlin, 1985), p. 865.
15.
J. M.
Jaycox
 and
M. B.
Ketchen
,
IEEE Trans. Magn.
MAG-17
,
400
(
1981
).
Google Scholar
 
16.
S. Tanaka, H. Itozaki, H. Toyoda, K. Adachi, K. Okajima, T. Nagaishi, and H. Kado, in Proceedings of the 6th International Symposium on Superconductivity, Hiroshima, Japan, October 26–29, 1993.
17.
F. W. Grover, Inductance Calculations Working Formulas and Tables (Dover, New York, 1962).
18.
O. Zinke and H. Seither, Widerstände, Kondensatoren, Spulen und ihre Werkstoffe (Springer, Berlin, 1982).
19.
W. H.
Chang
,
J. Appl. Phys.
50
,
8129
(
1979
).
Google Scholar
Crossref
Search ADS
 
20.
D.
Drung
 and
H.
Koch
,
Supercond. Sci. Technol.
7
,
242
(
1994
).
Google Scholar
Crossref
Search ADS
 
21.
J. Clarke, in Superconducting Electronics, NATO ASI Series F59, edited by H. Weinstock and M. Nisenoff (Springer, Berlin, 1989), p. 87.
22.
R. F.
Voss
,
J. Low Temp. Phys.
42
,
151
(
1981
).
Google Scholar
Crossref
Search ADS
 
23.
C. D.
Tesche
 and
J.
Clarke
,
J. Low Temp. Phys.
29
,
301
(
1977
);
Google Scholar
Crossref
Search ADS
 
J. J. P.
Bruines
,
V. J.
de Waal
, and
J. E.
Mooij
,
J. Low Temp. Phys.
46
,
383
(
1982
).,
J. Low Temp. Phys.
Google Scholar
Crossref
Search ADS
 
24.
V. J.
de Waal
,
P.
Schrijner
, and
R.
Llurba
,
J. Low Temp. Phys.
54
,
215
(
1984
).
Google Scholar
Crossref
Search ADS
 
25.
D.
Koelle
,
A. H.
Miklich
,
F.
Ludwig
,
E.
Dantsker
,
D. T.
Nemeth
, and
J.
Clarke
,
Appl. Phys. Lett.
63
,
2271
(
1993
).
Google Scholar
Crossref
Search ADS
 
26.
K.
Enpuku
,
Y.
Shimomura
, and
T.
Kisu
,
J. Appl. Phys.
73
,
7929
(
1993
).
Google Scholar
Crossref
Search ADS
 
27.
K. Enpuku, H. Doi, G. Tokita, and T. Maruo, IEEE Trans. Appl. Supercond. AS-5 (in press, 1995).
28.
K.
Enpuku
,
T.
Muta
,
K.
Yoshida
, and
F.
Irie
,
J. Appl. Phys.
58
,
1916
(
1985
);
Google Scholar
Crossref
Search ADS
 
K.
Enpuku
,
K.
Yoshida
, and
S.
Kohjiro
,
J. Appl. Phys.
60
,
4218
(
1986
).,
J. Appl. Phys.
Google Scholar
Crossref
Search ADS
 
29.
K.
Enpuku
,
H.
Doi
,
G.
Tokita
, and
T.
Maruo
,
Jpn. J. Appl. Phys.
33
,
722
(
1994
).
Google Scholar
Crossref
Search ADS
 
30.
T.
Ryhänen
,
H.
Seppä
,
R.
Ilmoniemi
, and
J.
Knuutila
,
J. Low Temp. Phys.
76
,
287
(
1989
).
Google Scholar
Crossref
Search ADS
 
31.
D.
Drung
 and
W.
Jutzi
,
IEEE Trans. Magn.
MAG-21
,
430
(
1985
).
Google Scholar
 
32.
D.
Drung
,
IEEE Trans. Appl. Supercond.
AS-4
,
121
(
1994
).
Google Scholar
 
33.
M. N.
Keene
,
S. W.
Goodyear
,
N. G.
Chew
,
R. G.
Humphreys
,
J. S.
Satchell
,
J. A.
Edwards
, and
K.
Lander
,
Appl. Phys. Lett.
64
,
366
(
1994
).
Google Scholar
Crossref
Search ADS
 
34.
D. Drung, in Superconducting Devices and Their Applications, Springer Proceedings in Physics 64, edited by H. Koch and H. Lübbig (Springer, Berlin, 1992), p. 351.
35.
R.
Cantor
,
D.
Drung
,
M.
Peters
, and
H.
Koch
,
J. Appl. Phys.
67
,
3038
(
1990
).
Google Scholar
Crossref
Search ADS
 
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