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17

012-07137B

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:

 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

Summary of Contents for OS-9255A

Page 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...

Page 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...

Page 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...

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

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

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

Page 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...

Page 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...

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

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

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

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