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Measuring
Magnetic
Field withLight
Presentationof
Thesisfor the
Masters of Science Degree
by
Andreas Danielsson
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The Zeeman EffectField off
No splittingField on
Zeeman triplet
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The Zeeman Triplet and Its Polarization
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Information Carrier
Orientation of B encoded in the polarizationMagnitude of B encoded in the frequency separation
Polarimeter to analyze the polarization statesInterferometer to analyze the frequency information
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MOSS-signal
polarizermodulatingbirefringentcrystal
polarizer
detector
light in
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The MOSS
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Interferogram for the component
for the two components
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Switching between the linear components
Contrast modulation
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Interferogram for the two –components separately
Solid line -lower
frequencyDashed line -higher
frequency
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Switching between the circular components
Phase modulation
Contrast modulation
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I = I0/2(1+s.p)s = (s1, s2, s3)p = (cos sin sin 1, sin 2 cos 1)
Select s1, s2 or s3
by appropriate choiceof p.
Polarimeter
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Stokes Vectors
S=.5 (sin2 cos 2sin2 sin 2)
S=.25 (-sin2 cos 2-sin2 sin 2-2cos )
S=.25 (-sin2 cos 2-sin2 sin 2cos )
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The Zeeman Spectrometer
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Raw Signal for Linear Polarization
field off
field on
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Raw Signal for Circular Polarization
= 75o
field on = 105o
field on
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Magnet close up
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The real thing
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All the stuff
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Demodulation Algorithm (8f)
f
Frequencyspectra
MOSS carrier
Polarimeter sidebands
Demodulation routine in LabView gives field strength and angles in real time.
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Spectrometer B vs Hall probe B
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Constant tilt angle as B increases
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Measurement of tilt angle