Holography Experiment
In order to understand the holographic process you should be familiar
with conventional optical diffraction phenomena. In particular, consult
optics texts if you are not thoroughly familiar with:
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diffraction gratings
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Fresnel zone plates
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Michelson interferometer.
Holography is extremely difficult without the laser, which has the properties
of great brightness and long coherence length. (The difference in
phase of a light wave at two points fluctuates by the order of ±p
if the points are the order of a coherence length apart; thus interference
effects wash out for path length differences of this magnitude or greater).
However, Gabor was able to construct "in-line" holograms before the invention
of the laser (see brief articles by Gabor in Camatini.)
Consult the Newport manual, references, and instructor regarding the
theory of holography and details of the procedure. In brief: The
holographic film is exposed to laser light scattered from an object and
simultaneously to a reference beam from the same laser. The film
records the interference pattern of the two waves. After development,
the hologram is replaced in the reference beam. The wavefront of
light scattered by the interference pattern comprising the hologram produces
a replica of the wavefront of light previously scattered by the real object.
Eye Hazard:
Laser light is hazardous because the entire power incident on the pupil
of the eye can be focused on a very small spot on the retina. This
spot can become very hot and cook. Never look directly into a laser
beam! The 5 mW laser used in this experiment is appreciably more
dangerous than the usual 1 mW laser. However, if the laser beam is
expanded to a spot much larger than the area of the pupil of the eye, the
power which can enter the eye is correspondingly reduced.
Exposure Time:
Determine by trial and error. The reference beam intensity should
be 1 to 2 times that of the object beam at the film. This generally
means the beam illuminating the object must be much stronger. Measure
the scattered and reference intensities at the position of the film and
keep a record of exposure data. For a start, try around 5 sec. if
the total power into 1/4 in. diameter at the film is 0.3 µW (for
SO-253 film).
Stray light (for instance, coming under the door) should not
be a problem. Specular reflections from a metallic object may cause
difficulty because of excessive intensity variations across the film.
Coherence considerations:
Vibrations with amplitude of order the wavelength of light will
wash out (parts of) the hologram. This is not generally a problem,
provided all optical components are solidly mounted. But if you use
a shutter, mount it separately from the optical table.
Drift of the film, if not adequately clamped down, or of a "soft"
object, due to temperature change, air currents, or mechanical relaxation,
could wash out the hologram.
The effective coherence length of the laser is the
length of the laser. This is because it is lasing in two, or maybe
three, longitudinal modes at any time. One can think of the two (say)
laser wavelengths as making separate holograms. If the path lengths
of the reference and object beams from the beam splitter differ by an amount
equal to the length of the laser tube, then one of these holograms will
be shifted by half a fringe with respect to the other, and they will interfere
destructively, perhaps giving no net hologram. Therefore you may
get more reliable results if you limit the path difference to a few cm.
(On the other hand, it may work fine with a large path difference.)
In any case, allow the laser to warm up for at least 15 min., because
while it is warming up, successive lasing modes are sweeping rapidly across
the atomic resonance, so the time-averaged spectral width is characteristic
of the natural atomic line width.
Processing:
(SO-253 film). Develop in total darkness through fixing.
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Develop 5 min. with continuous agitation (D-19 at 68 degrees F).
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Stop 30 sec. with agitation (Kodak Indicator Stop Bath).
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Fix 5 min. with frequent agitation. Lights can be turned on
after 30 sec.
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Wash 5 min. with running water.
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Air dry at room temperature. Be sure water drains from plate holder.
Note: Never go backwards, which might
get traces of stop bath or fixer in the developer. Label all reasonably
successful holograms with your initials and the year and number them consecutively.
Possible causes of no reconstructed image despite a reasonable exposure
include:
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Vibration or drift of the film or optical components
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Reference beam much stronger than object beam at film
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Laser not warmed up, drifting in frequency
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Excessive difference in path length between reference and object beam
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Too large an angle between the image and object beams for the resolution
of the film (which could be degraded by improper development.)
References:
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G. Saxby, Practical Holography (Prentice-Hall, 1988). Recommended.
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J. E. Kasper and S. A. Feller, The Complete Book of Holograms (1987).
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P. Hariharan, ??? (cambridge, 1984).
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R. J. Collier, et. al., Optical Holography (Academic Press, 1971).
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H.M. Smith, Principles of Holography (Wiley, 1969).
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E. Camatini, ed., Optical and Acoustic Holography (short articles,
see article by Guber, pp. 15-21.)
Possible Experiments:
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Split Beam Holography. Make
holograms of several different objects. Possible objects include
a block with nails, a gear, a coin, chess pieces, a watch with a lens in
front of it, or anything else you think of.
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Diffraction grating. Make a holographic diffraction grating
by exposing the film to two expanded and collimated beams of nearly equal
intensity, intersecting at an angle of about 10 degrees or less (a wedge
prism is a convenient way to produce this.) Measure the grating spacing
under a microscope. Use the grating to diffract the laser beam.
Using the measured spacing, calculate the wavelength of the laser.
(Alternatively, use the laser wavelength to calculate the grating spacing).
How strong is the second order diffraction, relative to first order?
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Single Beam Holography. Make a Fresnel zone plate by exposing
the film to a reference plane wave with a lens placed in it. Illuminate
the developed hologram with the plane wave and observe focusing.
You will have to think of a clever way to hold the lens without introducing
significant perturbations from the lens holder. A small liquid droplet
on a clean glass plate might do it
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Holographic Interferometry (Double exposure): Study the stress
pattern of an object by making a hologram with the object subjected to
differing amounts of stress (possibly a metal rod with a clamp attached).
Expose the film for half of the total exposure time while the object has
little or no stress applied. Then apply stress to the object (tighten
the clamp) and expose the film for the rest of the exposure time.
Be careful to not move the subject between exposures? (Why?)
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Holographic Interferometry (Vibration): Study the periodic
motion of a vibrating membrane by using a function generator to apply a
sinusoidal voltage to a speaker. Since an object in sinusoidal motion
spends much of its time near the ends of the motion, you can get an image
due to interference of light reflecting off the object while in different
positions (the two ends of the motion). Study the normal modes of
a diaphragm at several frequencies. Study the vibration amplitude
resulting from varying the amplitude of the drive signal.
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Make a simulated "motion picture" hologram by exposing three or four different
parts of the film to an object that has been moved between exposures.
You can do this by using some kind of mask to expose the film in separate
vertical slits. Observe the motion by moving your eye horizontally
along the developed hologram. Possible images include an object that
is rotated between exposures.
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Make a reflection hologram (object and reference beam on opposite
sides of the film.) This requires high resolution film (Agfa 8E75)
and good mechanical stability, and may require optimum development conditions
(the resolution must be better than 1/2 wavelength.) This hologram
can be viewed in white light.
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You can find other suggestions in papers in the lab or books on Reserve.
A digital camera is available for taking pictures of your better holograms,
especially interference holograms.