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MANGANITE SENSORS ARRAY FOR MEASUREMENTS OF
MAGNETIC FIELD DISTRIBUTION
Oliver Liebfried
Gelsenkirchen University of Applied Science, GermanySemiconductor Physics Institute (SPI), Lithuania
Structure
• Manganite Sensor Array
• Experimental arrangement
• Calculation
• Results
• Conclusion
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Manganite Sensor• Size of 1x0.5mm
• Made of La0.83Sr0.17MnO3 thin polycrystalline film
• Sensitive to absolute value of magn.field (B-Scalar-Sensor)
• Insensitive to changes of the direction of the B-vector
• Tested for B < 50T
Sou
rce:
Viln
ius
Hig
h M
agne
tic F
ield
Cen
tre
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Manganite Sensor Array
• 4 B-Scalar-Sensors in a flexible tube• in distances of 5 mm • fixed by customary glue• coated by wire screen
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Experimental arrangement
Function Generator
Pulsed Power Generator
4
2
3
1
PC
Oscilloscope
1,2,3,4 – circuits for sensor’s supply
Start-Up
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Capacity: 2240μF Testing Voltage: 1000V
Experimental arrangement
Projectile
Casing
Coil
Stopper
Carrier tube
Sensor array
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
z
Theory
L11
R11
u11
L12
R12
u12
L21
R21
u21
L22
R22
u22
M1112
M 1221
M1122
M2122
M1121 M1221
- Magnetically coupled circuits -
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Calculation
212
2 )(i
dz
zMdi
dt
zdm
T
Equation of movement:
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
- Basic equation system -
System of ~50 differential equations
3
2
1
3
2
1)(
)()(
i
i
i
dt
dz
dz
zMdR
i
i
i
dt
dzMtu
Voltage equations:
Theory
1222 4
nnnn zrsrsk
- Magnetic field -
)()(
)(2
0
)()(
)(2
),,(
222
2222
22
222
2222
22
,
,
,
nnn
nnn
nn
nn
nnn
nnn
nn
nn
zn
n
rn
n
kEzrs
zrskK
zrsr
zI
kEzrs
zrskK
zrsr
zI
B
B
B
tzrB
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Magnetic field generated by each ring was calculated applying the following formula:
with
r – radial position
zn – axial distance to nth ring
sn – radius of nth ring
K,E – elliptic integrals of 1st & 2nd kind
Results
0,0 0,2 0,4 0,6 0,8 1,00
1
2
3
4
5
6
7
8
9
1 2
B(T
)
t(ms)
1
2
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
calculated
measured
- Fixed projectile arrangement -
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Results250 μs50 μs
500 μs 700 μs
Calculation- Results -
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Calculation- Results -
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Conclusion• Manganite sensor available for measurement of the
magnitude of high magnetic fields independent of its direction
• 4-sensor array was used to measure time history of axial distribution of a highly dynamic magnetic field
• Very good agreement of experimental and theoretical results
• Next step: frequency response diagrams (amplitude and phase) of the manganite sensor
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Thank you four your attention!
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
0,0 0,1 0,2 0,30
5
10
15T = 293 K
T = 273 K
B, T
U, mV
T = 320 K