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Applied Optics Optics

Faraday effect 2.6.01-00

Principle:

The angle of rotation of the polarisa-tion-plane of plane polarized lightthrough a flint glass rod is found tobe a linear function of the product ofthe mean flux-densitiy and thelength of the optical medium. Thefactor of proportionally, called

Verdets constant, is investigated asa function of the wavelength and theoptical medium.

Tasks:

1. To determine the magnetic flux-densitiy between the pole piecesusing the axial Hall probe of theteslameter for different coil cur-rents. The mean flux-density iscalculated by numerical integra-tion and the ratio maximum flux-density over mean flux-density es-tablished.

2. To measure the maximum flux-density as a function of the coilcurrent and to establish the rela-tionship between mean flux-den-sity and coil current anticipatingthat the ratio found under 1. re-mains constant.

Verdets constant as a function of the wavelength+ measured values --- theoretical values.

3. To determine the angle of rotationas a function of the mean flux-density using different colour fil-ters. To calculate the correspond-ing Verdets constant in each case.

4. To evaluate Verdets constant as afunction of the wavelength.

What you can learn about

Electromagnetic field

interaction

Electron oscillation

Electromagnetism

Polarization

Verdets constant

Hall effect

Glass rod for Faraday effect 06496.00 1

Coil, 600 turns 06514.01 2

Pole pieces, drilled 06495.00 1Iron core, U-shaped, laminated 06501.00 1

Housing for experiment lamp 08129.01 1

Halogen lamp, 12 V/50 W 08129.06 1

Holder G 6.35 for 50/100 W halogen lamp 08129.04 1

Double condenser, f = 60 mm 08137.00 1

Variable transformer 25 V~/20 V-, 12 A 13531.93 1

Ampermeter, 1 mA...3 A DC/AC 07036.00 1

Commutator switch 06034.03 1

Teslameter, digital 13610.93 1

Hall probe, axial 13610.01 1

Lens, mounted, f = +150 mm 08022.01 1

Lens holder 08012.00 1

Table top on rod 08060.00 1Object holder 50 mm x 50 mm 08041.00 1

Colour filter, 440 nm 08411.00 1

Colour filter, 505 nm 08413.00 1

Colour filter, 525 nm 08414.00 1

Colour filter, 580 nm 08415.00 1

Colour filter, 595 nm 08416.00 1

Polarisation filter with vernier 08611.00 2

Screen, translucent, 250 mm x 250 mm 08064.00 1

Optical profile bench, l = 1000 mm 08282.00 1

Base for optical profile bench, adjustable 08284.00 2

Slide mount for optical profil bench, h = 30 mm 08286.01 2

Slide mount for optical profil bench, h = 80 mm 08286.02 5

Universal clamp 37718.00 1

Connecting cable, 4 mm plug, 32 A, red, l = 75 cm 07362.01 3

Connecting cable, 4 mm plug, 32 A, blue, l = 75 cm 07362.04 3

What you need:

Complete Equipment Set, Manual on CD-ROM included

Faraday effect P2260100

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Related topics

Electromagnetic field interaction, electron oscillation, electro-magnetism, polarization, Verdets constant, Hall effect.

Principle

The angle of rotation of the polarisation-plane of plane polari-zed light through a flint glass rod is found to be a linear func-tion of the product of the mean flux-densitiy and the length ofthe optical medium. The factor of proportionally, calledVerdets constant, is investigated as a function of the wave-length and the optical medium.

Equipment

Glass rod for Faraday effect 06496.00 1Coil, 600 turns 06514.01 2Pole pieces, drilled, 1 pair 06495.00 1

Iron core, U-shaped, laminated 06501.00 1Housing for experiment lamp 08129.01 1Halogen lamp, 12 V/50 W 08129.06 1Holder G 6.35 f. 50/100 W halo.lamp 08129.04 1Double condenser,f = 60 mm 08137.00 1Var. transformer, 25 VAC/20 VDC, 12 A 13531.93 1Amperemeter 07036.00 1Commutator switch 06034.03 1Teslameter, digital 13610.93 1Hall probe, axial 13610.01 1Lens, mounted,f = +150 mm 08022.01 1Lens holder 08012.00 1Table top on rod, 18.511 cm 08060.00 1Object holder, 55 cm 08041.00 1

Colour filter, 440 nm 08411.00 1Colour filter, 505 nm 08413.00 1Colour filter, 525 nm 08414.00 1

Colour filter, 580 nm 08415.00 1Colour filter, 595 nm 08416.00 1Polarizing filter with vernier 08611.00 2Screen, translucent, 250250 mm 08064.00 1Optical profile-bench, l = 1000 mm 08282.00 1Base f. opt. profile-bench, adjust. 08284.00 2Slide mount f. opt. pr.-bench, h = 30 mm 08286.01 2Slide mount f. opt. pr.-bench, h = 80 mm 08286.02 5Universal clamp 37715.00 1Connecting cord, l = 750 mm, red 07362.01 3Connecting cord, l = 750 mm, blue 07362.04 3

Tasks

1. To determine the magnetic flux-densitiy between the polepieces using the axial Hall probe of the teslameter for differ-ent coil currents. The mean flux-density is calculated bynumerical integration and the ratio maximum flux-densityover mean flux-density established.

2. To measure the maximum flux-density as a function of thecoil current and to establish the relationship between meanflux-density and coil current anticipating that the ratio foundunder 1. remains constant.

3. To determine the angle of rotation as a function of the meanflux-density using different colour filters. To calculate thecorresponding Verdets constant in each case.

4. To evaluate Verdets constant as a function of the wave-length.

Fig. 1: Experimental set-up for quantitative treatment of the Faraday effect.

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Fig. 5: Angle of rotation of the polarisation-plane as a function of the mean flux-density for = 440 nm.

Fig. 6: Angle of rotation of the polarisation-plane as a function of the mean flux-density for = 505 nm.

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Fig. 7: Angle of rotation of the polarisation-plane as a function of the mean flux-density for = 525 nm.

Fig. 8: Angle of rotation of the polarisation-plane as a function of the mean flux-density for = 580 nm.

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as the mean wavelength for the UV resonances of flint glassSF6. A graphical representation of Verdets constant as afunction of the wavelength for flint glass SF6 is found inFig. 10. The cross-points in Fig. 10 represent the measuredvalues V(440 nm), V(505 nm), V (525 nm), V (580 nm) andV(595 nm). They coincide reasonably well with the values pre-dicted by the above formula.

Fig. 9: Angle of rotation of the polarisation-plane as a function of the mean flux-density for > 595 nm.

Fig. 10: Verdets constant as a function of the wavelength + measured values --- theoretical values.