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17

012-07137A

Precision Interferometer

Twyman-Green—

Twyman-Green operation gives students  a quick, qualita-

tive look at how interferometry can be used to test optical

components. See 

Twyman-Green Mode

 in the 

Setup and

Operation

 section of the manual.

Any distortion of the circular fringe pattern is due to

spherical aberration from the test lens.  Turn the lens until

it sits at various angles to the optical path and watch the

fringe pattern change.  Distortion here is due partially to

astigmatism from the lens.

Spectral Light Fringes—

Although interferometry is easiest with a laser light source,

measurements can be made successfully using any mono-

chromatic source of sufficient brightness. However, if a

laser is not used, it is generally not possible to project the

interference fringes onto a screen. Instead, the fringes are

viewed by looking into the beam-splitter (or into the

movable mirror in Fabry-Perot mode).
If you use a spectral light source with spectral lines at

several different frequencies, it may be necessary to use a

filter that blocks all but one of the spectral wavelengths.

Michelson Mode:

ä

 NOTE:

One difficulty when using a non-laser light source in

Michelson mode is that the coherence length of the

light is far less with a non-laser source. Because of

this, the compensator should be used. It mounts

magnetically on the back of the beam-splitter (the

side opposite the thumbscrew).
It's also important that the optical paths of the two

interfering beams should be nearly equal. To ensure

that this is the case, set up the interferometer with a

laser (if you have one) and adjust the movable

mirror position until the fewest possible fringes

appear on the screen. (Theoretically, when the beam

paths are exactly equal, one big maximum should

appear that occupies the whole screen. But this is

usually not possible to achieve in practice due to

optical imperfections.) Then remove the viewing

screen and replace the laser with the spectral light

source. If fringes aren't visible when looking into the

beam-splitter, proceed as follows:

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 into the beam-splitter, you can see two images of

the cross-hairs.

d. Adjust the tilt of the fixed mirror until the cross-hairs are

superimposed. You should be able to see the fringe pat-

tern.

Fabry-Perot mode:

a. Tape two thin pieces of wire or thread to the surface of

the diffuser to form cross-hairs.

b. Set up the equipment in Fabry-Perot mode, and place

the diffuser between the light source and the fixed mir-

ror.

c. Look into the movable mirror from behind. Adjust the

tilt of the fixed mirror until the cross-hairs are superim-

posed. You should be able to see the fringe pattern.

White Light Fringes—

With careful alignment, the interferometer will produce

fringes from multi-chromatic or even white light . The

procedure is the same as for any non-laser source, as

described above. However, since it is harder to get a visible

interference pattern, it is strongly recommended that you

first set up the interferometer using a laser. Then substitute

your white light source.

Use a Photometer—

Use a photometer, such as PASCO Model OS-9152B, to

scan the fringe patterns. You can compare the intensity

distributions in the Michelson and Fabry-Perot modes. Or

use it to more accurately determine polarization effects. Or

just use it as an aid in counting fringes.

Heat Distribution in Air—

With the interferometer in Michelson mode, strike a match

and bring it close to one of the optical paths. Note the

distortions in the fringe pattern. For a more quantitative

approach, you could construct an air tight cell, and heat the

contents to observe the effects of heat on the index of

refraction of air.

Suggestions for Additional Experiments

Содержание OS-9255A

Страница 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 ...

Страница 2: ......

Страница 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 ...

Страница 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...

Страница 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...

Страница 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...

Страница 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 ...

Страница 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...

Страница 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 ...

Страница 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...

Страница 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 ...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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 ...

Страница 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...

Страница 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 ...

Страница 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...

Страница 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 ...

Страница 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...

Страница 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 ...

Страница 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 ...

Страница 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...

Страница 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...

Страница 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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