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Transcript of Faraday Rotation presentation.pptx
8/16/2019 Faraday Rotation presentation.pptx
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Faraday Rotation
8/16/2019 Faraday Rotation presentation.pptx
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Outline
• Motivation for the experiment.
• Brief outline of the theory of Faradayrotation.
• Experimental procedure.
• Conclusions.
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Physical backround
• Michael Faraday successfully uniteselectricity and manetism!.
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"oal of the experiment
• Reproduce in a similar fashion theexperiment that Faraday created toobserve the rotation of liht throuh
a polari#er.!
• $erdet Constant.
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%heory
• &hat causes the rotation inpolari#ation of liht.
• 'armonic oscillators.
• (i)erences in refractive indices.
• $erdet constant.
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%he Physical Causation
• Circulary Polari#ed liht istransmitted throuh a dielectricmaterial.
• *n additional manetic +eld isproduced.
• Circular Birefrinence,.
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Mathematical (escription of the
Faraday e)ect
• One can think of plane polari#ed lihtas bein comprised of t-o separatecircularly polari#ed liht. Each havin
di)erent orientations for theirrotations,.
• %he electric +eld of the plane
polari#ed liht can be expressed as/
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Model to describe theresult0
F 8 −e3E A !
c~v ⇥ ~B 4
md,~s
dt , A f ~s 8 −e3E A
!
c~v ⇥ ~B 4
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Model Continued0
3! , − ! ,4s x − iE! s y 8 − emE x
3! , − ! ,4s y − iE! s x 8 − e
m
E y
~P ± 8 nee, ~E ±
m3! , − ! , E! 4
± 8 0⇡~P±
E±
n 8 !A ±
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Experiment
• &e attempt to derive the $erdetconstant of the materials listedearlier.
• Run into issues -ith obtainment ofthe $erdet constant for deioni#ed-ater usin direct current methods.
• @ock5in ampli+er.
• Filters.
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Experimental 1et5up,
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Experimental 1et5up,
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Results
• Malus6s @a-.
• Fre2uency response of thepreampli+er.
• Characteri#ation of +lters.
• @ock5in detector.
•
Measurement of the $erdet constant.
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Malus6s @a-
•
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Fre2uency response of the
preamplifer
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Roll o) for Bessel
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Roll o) for Chebyshev
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Roll o) for Butter-orth
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@ock5in *mpli+er
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@ock5in ampli+er continued
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@ock5in ampli+er -ith noise
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@ock5in ampli+er continued
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$erdet Constant/ data for 1F5?7
lass
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$erdet Constant for 1F5?7lass
•
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$erdet constant
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$erdet Constant for deioni#ed -ater
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Conclusions
• Comparin the $erdet constants toaccepted values,/ 1F5?7 lass is ,radL%m and for deioni#ed -ater it is
.> radL%m.
• %hese values lie ust outside thecalculated error.
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References
•!P.D 1chat# and *.N. McCa)ery< %he Faraday E)ect<Q.REV.CHEM.SOC., 23. ??,5?>0 3!4.
•,(r. 1edar "o#pinar and *drea Markel#< Faraday E)ect<Jniversity of Bu)alo laboratory manual< 3,!4.
•(.*. $an Baak< Resonant Faraday Rotation as a probe of atomic
dispersion< *m. N. Phys.•
0 Faraday Rotation &ebsite. ,7. Feb. ,!.,tt-s.**///(-,ysics(rut0ers(edu(