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Precision Interferometer

012-07137B

22

®

Experiment 3:  The Index of Refraction of Glass

Reference to – Procedure

1.

The glass plate must be absolutely perpendicular to the
laser for accurate measurement of the index of refrac-
tion. When the plate is perpendicular, there will be a
faint secondary fringe pattern (Fabry-Perot interference
between the front and back surfaces of the plate) vis-
ible in the center of the view screen.

2.

It is important to measure as large an angle as possible,
and measure the angle as carefully as possible.

Reference to – Analysis

1.

The actual equation, which is derived in 

Optics of the

Electromagnetic Spectrum,

 by C.L. Andrews

(Prentice-Hall, 1960) is

The second term is negligible for visible wavelengths,
and may be ignored.

Notes – General

It is often difficult to count large numbers of fringes due to
eyestrain. If you find this to be the case, you may want to
make a circuit such as this:

+

-

7 4 1

+ 5 -1 5 v

5 6 k

2 0 k

1 0 k

1 k

1k

1 k

The phototransistor should be mounted in a plate of sheet
steel, which can then be held in the magnetic viewscreen
holder. Mask the transistor with a piece of electrical tape
with a pinhole at the center. Adjust the sensitivity of the
circuit with the 20k potentiometer so that the flashes of the
LED can be counted instead of the actual fringes.

This circuit may also be used in conjunction with the
PASCO Series 6500 computer interface so that the fringes
can be counted by computer, if desired.

n

g

=

(2t – N

λ

0

)(1 – cos

θ

) + (

N

2

λ

0

2

4t

)

2t(1 –cos

θ)

– N

λ

0

Содержание OS-9255A

Страница 1: ...Instruction Manual and Experiment Guide for the PASCO scientific Models OS 9255A thru OS 9258A 012 07137B PRECISION INTERFEROMETER Includes Teacher s Notes and Typical Experiment Results...

Страница 2: ...ion 4 Michelson Twyman Green Fabry Perot Setup and Operation 6 Tips on Using the Interferometer 9 Sources of Error Troubleshooting Experiments Experiment1 IntroductiontoInterferometry 11 Experiment 2...

Страница 3: ...ghted and all rights reserved However permission is granted to non profit educational institutions for reproduction of any part of the manual providing the reproductions are used only for their labora...

Страница 4: ...vide asimpleintroductiontothisimportantapplicationof interferometry Fabry Perot The Fabry Perot Interferometer is also an important contemporary tool used most often for high resolution spectrometry T...

Страница 5: ...Ocatalogfordetails Additional Equipment Recommended TheOS 9256AInterferometerAccessoriesincludes RotatingPointer VacuumCell ComponentHolder Lens 18 mm Focal Length Lens 48 mm Focal Length GlassPlate 2...

Страница 6: ...r Movable Mirror Adjustable Mirror Vacuum Cell Vacuum Pump withGauge Rotating Pointer Beam Splitter Compensator Plate Component Holder OS 9255A Precision Interferometer Lens 18 mm Fitted Case 2 Polari...

Страница 7: ...m the two slits struck the screen a regular pattern of dark and bright bands appeared When firstperformed Young sexperimentofferedimportant evidence for the wave nature of light Young s slits can be u...

Страница 8: ...he mirror a measured distance dm and counting m the number of times the fringe pattern is restoredtoitsoriginalstate thewavelengthofthelight canbecalculatedas 2dm m If the wavelength of the light is k...

Страница 9: ...aser see Suggestions for Additional Experiments near the end of the manual To set up and align your PASCO Laser 1 Set the interferometer base on a lab table with the mi crometerknobpointingtowardyou 2...

Страница 10: ...ks so that the beam is reflected to the fixed mirror Adjust the angle of the beam splitter as needed so that the reflected beam hits the fixed mirror near its center 4 There should now be two sets of...

Страница 11: ...t s at least 12 inches from the edge of the interferometerbase Fringesshouldappearinthebright disk of the viewing screen Fine adjustments of L1 may be necessary to find the fringes A piece of white pa...

Страница 12: ...he diffuser rather than on the viewing screen Just place the diffuser where you would normally place the viewing screen and look through it toward the interferometer Tips on Using the Interferometer F...

Страница 13: ...nd back surfaces of the mirrors and beam splitter of ten cause minor interference patterns in the back ground of the main fringe pattern These background patterns normally do not move when the mirror...

Страница 14: ...rferometerintheMichelsonmode soaninterferencepatternisclearlyvisibleonyour viewing screen See Setup and Operation for instructions 2 Adjustthemicrometerknobtoamediumreading approximately50 m Inthispos...

Страница 15: ...ht 2dm N then average your results If you tried the Fabry Perot mode also calculate the wavelength independently for that data The same formula applies PartII 1 From your observations in step 1 of the...

Страница 16: ...exactly 1 A graph of index of refraction versus pressure for a gas is shown in Figure2 1 Byexperimentallydeterminingtheslope the index of refraction of air can be determined at various pressures Proce...

Страница 17: ...helightnowgoesthroughonelessoscillationwithin the cell This has the same effect on the interference pattern as when the movable mirror is moved towardthebeam splitterby1 2wavelength Asinglefringetrans...

Страница 18: ...2 Placetherotatingtablebetweenthebeam splitter and movable mirror perpendicular to the optical path NOTE if the movable mirror is too far forward the rotating table won t fit You may need to loosen t...

Страница 19: ...ction of air see Experiment 2 ng the index of refraction of the glass plate as yet unknown 0 the wavelength of your light source in vacuum and N the number of fringetransitionsthatyoucounted Carrying...

Страница 20: ...pticalimperfections Thenremovetheviewing screenandreplacethelaserwiththespectrallight source Iffringesaren tvisiblewhenlookingintothe beam splitter proceedasfollows a Tape two thin pieces of wire or t...

Страница 21: ...ate the Micrometer Knob fully IN before storing the Interferometer MicrometerCalibration The micrometer is calibrated before it is shipped How ever ifrecalibrationbecomesnecessary usethefollowing proc...

Страница 22: ...03956 MovableMirror 003 03955 ComponentHolder 003 05161 Compensator 003 03958 InterferometerManual 012 05187 VacuumPump OS 8502 Component Part No VacuumCell 003 05162 RotationalPointer 003 05160 Fitt...

Страница 23: ...imitingfactorsareplayinthesystemanduncertainty inourmicrometerposition 6 Losingcountoffringes andinexactpositioningofthe fringes relative to our reference mark 7 In order to interfere the two light be...

Страница 24: ...e vacuum first then count the fringes as the vacuum was released The average slope starting at a guage reading of 60 was 3 462x10 6 0 9995 0 9996 0 9997 0 9998 0 9999 1 1 0001 1 0002 1 0003 1 0004 1 0...

Страница 25: ...drews Prentice Hall 1960 is Thesecondtermisnegligibleforvisiblewavelengths and may be ignored Notes General It is often difficult to count large numbers of fringes due to eyestrain If you find this to...

Страница 26: ...com web www pasco com Contacting Technical Support Before you call the PASCO Technical Support staff it wouldbehelpfultopreparethefollowinginformation If your problem is with the PASCO apparatus note...

Страница 27: ...PrecisionInterferometer 012 07137B 24...

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