Pasco Scientific OS-9255A Instruction Manual And Experiment Manual Download Page 12

Precision Interferometer

012-07137A

8

OS-9255A

PRECISION

INTERFEROMETER

-5

0

5

10

15

25

30

ADJUSTABLE MIRROR

MICHELSON, TWYMAN-GREEN

B

E

A

M

 S

P

LIT

TE

R

M

IC

H

E

LS

O

N

C

O

M

P

E

N

S

AT

O

R

M

IC

H

E

LS

O

N

18 mm FL

 LENS

VIEWING SCREEN

MICHELSON, TWYMAN-GREEN

1 div = 1 MICRON

OS-9255A

PRECISION

INTERFEROMETER

-5

0

5

10

15

25

30

ADJUSTABLE MIRROR

MICHELSON, TWYMAN-GREEN

BEAM

 SP

LITTER

M

ICH

E

LSO

N

COMPENSA

TOR

M

ICHELSON

18 mm FL

 LENS

VIEWING SCREEN

MICHELSON, TWYMAN-GREEN

1 div = 1 MICRON

Twyman-Green Mode

1.

Set up the interferometer in the Michelson mode, as

described above.

2.

Remove the pointer from the rotational componet

holder. (It is recommended to store the pointer, washer

and thumbscrew in the storage case.) Place the compo-

nent holder between the beam-splitter and the movable

mirror (see Figure 7). It attaches magnetically. Mount a

second 18 mm FL lens (L

2

) on its magnetic backing

and position it .

3.

Remove the original lens (L

1

) from in front of the laser.

Observe the two sets of dots on the viewing screen—

one set from the movable mirror and one set  from the

adjustable mirror. Adjust the position of L

2

 until both

sets of dots are the same size.

4.

Adjust the tilt of the adjustable mirror until the two sets

of dots coincide.

5.

Replace lens L

1

 in front of the laser.  Move the viewing

screen so it's at least 12 inches from the edge of the

interferometer base. Fringes should appear in the bright

disk of the viewing screen.  Fine adjustments of L

1

may be necessary to find the fringes. A piece of white

paper or cardboard can be used in place of the viewing

screen. A 48 mm FL convex lens may also be used to

magnify the projected image of the fringes.

Fabry-Perot Mode

1.

Align the laser and interferometer base as described in

Laser Alignment

 at the beginning of this section. The

laser beam should be approximately parallel with the

top of the base, should strike the center of the movable

mirror, and should be reflected directly back into the

laser aperture.

2.

Mount the adjustable mirror where indicated on the in-

terferometer base and one component holder in front of

the movable mirror. See Figure 8.

3.

Place the other component holder behind the movable

mirror and attach the viewing screen to its magnetic

backing. You should see several images of the laser

beam on the viewing screen.

4.

Using the thumbscrews, adjust the tilt of the adjustable

mirror until there is only one bright dot on the screen.

5.

Now mount the 18 mm FL lens on the front compo-

nent holder. A clear sharp interference pattern should

be visible on the viewing screen. If you use light with

two component wavelengths, instead of a laser, two sets

of fringes can be distinguished on the viewing screen.

Lens

18mm FL

Figure 7.   Twyman-Green Mode Setup

Rotational

component holder

Component

holder

Component

holder

Viewing screen

Adjustable mirror

Movable mirror

Lens

18mm FL

Figure 8.   Fabry-Perot Mode Setup

Summary of Contents for OS-9255A

Page 1: ...on Manual and Experiment Guide for the PASCO scientific Models OS 9255A thru OS 9258A 012 07137A 5 99 1990 PASCO scientific 10 00 PRECISION INTERFEROMETER Includes Teacher s Notes and Typical Experiment Results ...

Page 2: ......

Page 3: ...on 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 The Index of Refraction of Air 13 Experiment 3 The Index of Refraction of Glass 15 SuggestionsforAdditionalExperiments 17 Maintenance 18 Teacher s Guide 20 22 ...

Page 4: ...yrightedandallrights 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 laboratories and are not sold for profit Reproduction under any other circumstances without the written consent of PASCO scientific is prohibited Limited Warranty PASCO scientific warrants the product to be...

Page 5: ...ide asimpleintroductiontothisimportantapplicationof interferometry Fabry Perot The Fabry Perot Interferometer is also an important contemporary tool used most often for high resolution spectrometry The fringes are sharper thinner and more widelyspacedthantheMichelsonfringes sosmalldiffer ences in wavelength can be accurately resolved The Fabry Perotinterferometerisalsoimportantinlaser theory as it...

Page 6: ...rent PASCO catalog fordetails Additional Equipment Recommended TheOS 9256AInterferometerAccessoriesincludes RotatingPointer VacuumCell ComponentHolder Lens 18 mm Focal Length Lens 48 mm Focal Length GlassPlate 2 Polarizer VacuumPumpwithGauge NOTE The OS 9255A Fitted Case also provides storage for these accessory components About Your Light Source We strongly recommend a laser for most introductory...

Page 7: ...er 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 Polarizer Base OS 9256A Interferometer Accessories Lens 18 mm Lens 48 mm Glass Plate ...

Page 8: ...light from 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 used as a simple interferometer If the spacing between the slits is known the spacing of the maxima and minima can be used to determine the wave length of the light Conversely if the wavelengt...

Page 9: ...rror a measured distance dm and counting m the number of times the fringe pattern is restoredtoitsoriginalstate thewavelengthofthelight l canbecalculatedas l 2dm m If the wavelength of the light is known the same proce dure can be used to measure dm Figure 2 Fringes The Twyman Green Interferometer The Twyman Green Interferometer is a variation of the MichelsonInterferometerthatisusedtotestoptical ...

Page 10: ...r 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 Position the laser alignment bench to the left of the baseapproximatelyperpendiculartotheinterferometer base and place the laser on the bench mirror is moved toward or away from the fixed mirror the fri...

Page 11: ...rks 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 bright dots on the viewing screen one set comes from the fixed mirror and the other comes from the movable mirror Each set of dots should include a bright dot with two or more dotsoflesserbrightness ...

Page 12: ... so it 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 paper or cardboard can be used in place of the viewing screen A 48 mm FL convex lens may also be used to magnifytheprojectedimageofthefringes Fabry Perot Mode 1 Alignthelaserandinterferometerbaseas...

Page 13: ...rough the 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 Figure 9 Counting Fringes Accurate Fringe Counting Thefollowingtechniquescanhelpyoumakeaccurate measurements 1 It s not necessary that your interference pattern be per fectly symmetrical or shar...

Page 14: ...nt and 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 is moved and have no impact on measurements made using the main interference pattern 4 Convection Currents If the fringe pattern ap pears to wave or vibrate check for air currents Even a slight br...

Page 15: ...dinterferometerintheMichelsonmode soaninterferencepatternisclearlyvisibleonyour viewing screen See Setup and Operationfor instructions 2 Adjustthemicrometerknobtoamediumreading approximately50µm Inthisposition therelationshipbe tween the micrometer reading and the mirror movement is most nearly linear 3 Turnthemicrometerknobonefullturncounterclockwise Continueturningcounterclockwiseuntilthezeroont...

Page 16: ...ht l 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 procedure can you determine the polarization characteristics of your light source Does it vary with time 2 Do your observations from step 2 give you any more information about the polarization of y...

Page 17: ...y 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 Procedure 1 Align the laser and interferometer in the Michelson mode See Setup and Operation 2 Place the rotational pointer between the movable mirror and the beam splitter see Figure 2 2 Attach the vacuum cell ...

Page 18: ...ghtnowgoesthroughonelessoscillationwithin the cell This has the same effect on the interference pattern as when the movable mirror is moved towardthebeam splitterby1 2wavelength Asinglefringetransitionwillhaveoccurred Originally there are Ni 2d li wavelengths of light within the cell counting both passes of the laser beam At the final pressure there are Nf 2d lf wavelengths within the cell The dif...

Page 19: ...2 Placetherotatingtablebetweenthebeam splitter andmovablemirror perpendiculartotheopticalpath NOTE if the movable mirror is too far forward the rotating table won t fit You may need to loosen the thumbscrew and slide the mirror farther back 3 Mounttheglassplateonthemagneticbackingoftherotationalpointer 4 Position the pointer so that its 0 edge on the Vernier scale is lined up with the zero on the ...

Page 20: ...e index of refraction of air see Experiment 2 ng the index of refraction of the glass plate as yet unknown l0 the wavelength of your light source in vacuum and N the number of fringetransitionsthatyoucounted Carryingoutthisanalysisfortheglassplateisrathercomplicated sowe llleaveyouwiththeequation shownbelowforcalculatingtheindexofrefractionbasedonyourmeasurements Nevertheless we encourageyoutoatte...

Page 21: ...acticedueto opticalimperfections Thenremovetheviewing screenandreplacethelaserwiththespectrallight source Iffringesaren tvisiblewhenlookingintothe beam splitter proceedasfollows a Tape two thin pieces of wire or thread to the surface of the diffuser to form cross hairs b Place the diffuser between the light source and the beam splitter c Adjust the angle of the beam splitter so that when look ing ...

Page 22: ...te the Micrometer Knob fully IN before storing the Interferometer MicrometerCalibration The micrometer is calibrated before it is shipped How ever ifrecalibrationbecomesnecessary usethefollowing procedure 1 Turn the interferometer over and remove the bot tom cover 2 Loosen the two screws showninFigureA1 Slide thebearingsurfacetoward the pivot to increase mir ror movement per turn of themicrometerd...

Page 23: ...3 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 FittedCase 650 05178 ViewingScreen 003 05119 Diffuser 003 03941 Polarizer 003 04924 GlassPlate 003 04034 Lens 18mm FL 003 03814 Lens 48mm FL 003 03806 ...

Page 24: ... Limitingfactorsareplayinthesystemanduncertainty inourmicrometerposition 6 Losingcountoffringes andinexactpositioningofthe fringes relative to our reference mark 7 In order to interfere the two light beams must have the samepolarization Part I General Dm wavelength Michelson 1 60 x 10 5 640 0 x 10 9 1 60 x 10 5 640 0 x 10 9 1 60 x 10 5 640 0 x 10 9 Fabry Perot 1 60 x 10 5 640 0 x 10 9 1 50 x 10 5 ...

Page 25: ...he 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 0005 0 10 20 30 40 50 60 70 80 90 Pressure cm hg Answers to Questions 1 Extrapolatingfromourslopeandtheknownindexof refraction of vacuum natm 1 000263 2 Measure the index of refraction at various pres...

Page 26: ...ndrews 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 be the case you may want to make a circuit such as this 741 5 15 v 56k 2 0k 1 0k 1k 1k 1 k The phototransistor should be mounted in a plate of sheet steel which can then be held in the magnetic view...

Page 27: ... 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 Titleandmodelnumber usuallylistedonthe label Approximateageofapparatus Adetaileddescriptionoftheproblem sequenceof events in case you can t call PASCO right away you won tlosevaluabledata If possible...

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