8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 1/28

Faraday Rotation

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 2/28

Outline

• Motivation for the experiment.

• Brief outline of the theory of Faradayrotation.

• Experimental procedure.

• Conclusions.

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 3/28

Physical backround

• Michael Faraday successfully uniteselectricity and manetism!.

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 4/28

"oal of the experiment

• Reproduce in a similar fashion theexperiment that Faraday created toobserve the rotation of liht throuh

a polari#er.!

• $erdet Constant.

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 5/28

 %heory

• &hat causes the rotation inpolari#ation of liht.

• 'armonic oscillators.

• (i)erences in refractive indices.

• $erdet constant.

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 6/28

 %he Physical Causation

• Circulary Polari#ed liht istransmitted throuh a dielectricmaterial.

• *n additional manetic +eld isproduced.

• Circular Birefrinence,.

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 7/28

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/

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 8/28

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

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 9/28

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  ±

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 10/28

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.

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 11/28

Experimental 1et5up,

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 12/28

Experimental 1et5up,

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 13/28

Results

• Malus6s @a-.

• Fre2uency response of thepreampli+er.

• Characteri#ation of +lters.

• @ock5in detector.

•

Measurement of the $erdet constant.

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 14/28

Malus6s @a-

•  

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 15/28

Fre2uency response of the

preamplifer

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 16/28

Roll o) for Bessel

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 17/28

Roll o) for Chebyshev

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 18/28

Roll o) for Butter-orth

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 19/28

@ock5in *mpli+er

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 20/28

@ock5in ampli+er continued

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 21/28

@ock5in ampli+er -ith noise

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 22/28

@ock5in ampli+er continued

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 23/28

$erdet Constant/ data for 1F5?7

lass

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 24/28

$erdet Constant for 1F5?7lass

•  

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 25/28

$erdet constant

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 26/28

$erdet Constant for deioni#ed -ater

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 27/28

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.

8/16/2019 Faraday Rotation presentation.pptx

http://slidepdf.com/reader/full/faraday-rotation-presentationpptx 28/28

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(