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