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Diffraction

  • L7-43: Telephoto Lens Model - Point Source

    L7-43
    A model of a telephoto lens
    The demonstration serves as a model of the assembly and function of a telephoto lens attachment. A point source with a small crossarm baffle serves as an object imaged by a sequence of lenses – a 150mm focal length converging lens, a -100mm focal length diverging lens, and a 300mm focal length converging lens, to focus on a distant screen. Other lens combinations can be available upon request.
  • M1-01: LASER DIFFRACTION - FIXED SINGLE SLIT

    M1-01
    Demonstrate single slit diffraction.
    Position single slit in holder on cross-carriage in laser beam to obtain diffraction. Pattern can be shown on a distant screen, or the small screen shown in the picture. Magnification with the cylindrical lens can be used as necessary. One slide with four slits is available: 0.2mm, 0.04mm, 0.08mm, and 0.16mm, as well as individual slides of 0.12mm, 0.25mm, and 0.5mm.
    FS1

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  • M1-02 LASER DIFFRACTION - VARIABLE SINGLE SLIT

    M1-02
    Demonstrates single slit diffraction
    Position single slit in holder on cross-carriage in laser beam to obtain diffraction. Pattern can be shown on a distant screen, or the small screen shown in the picture. Magnification with the cylindrical lens can be used as necessary. One slide with four slits is available: 0.2mm, 0.04mm, 0.08mm, and 0.16mm, as well as individual slides of 0.12mm, 0.25mm, and 0.5mm
    FS1
  • M1-04: LASER DIFFRACTION - WIRES

    M1-04
    Show diffraction by wires of different size.
    Position the three-wire slide in a holder on the cross-carriage in the laser beam to see the diffraction pattern. The pattern can be viewed directly on a distant screen or on the small screen on the laser cart, with use of the cylindrical magnifying lens if appropriate.
    FS1

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  • M1-05: FINGERS AND SODIUM SOURCE - VARIABLE SINGLE SLIT

    M1-05
    See single slit diffraction.
    Students can use their fingers as a variable single slit to see diffraction of the yellow sodium light.
  • M1-06: LASER DIFFRACTION - HUMAN HAIR

    M1-06
    Demonstrate laser diffraction with a human hair.
    Shining a laser across a human hair (mounted in a projectual, shown at left above) creates a characteristic diffraction pattern.

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  • M1-21: LASER DIFFRACTION - MULTIPLE SLITS

    M1-21
    Show the transition from one slit to multiple slits and the diffraction grating.

    A slide contains an array of 1, 2, 3, 4, and 5 slits. The single and double slit patterns are familiar. For N slits, where N is 3 or more, N-2 maxima of lesser intensity appear between the primary maxima. As N increases, the primary maxima increase in intensity as the 1st, 2nd, 3rd, 4th,etc. order spots, and these lesser maxima decrease in intensity until they cease to exist for a grating.

    The picture below is for a three slits, so it shows one minor peak between each pair of major peaks.

    FS1

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  • M1-22: LASER DIFFRACTION - GRATINGS

    M1-22
    Demonstrate diffraction (well, actually interference) by a grating.
    Several different gratings can be readily mounted into the laser beam to study the effect of grating spacing: (1) 570 slits per mm, (2) 13,400 slits per inch, and (3) a triple grating with 2400 slits per inch, 7500 slits per inch, and 15,000 slits per inch. The patterns from the three slits of the triple grating are shown above.
    FS1

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  • M1-31: PORTABLE LASER DIFFRACTION KIT

    M1-31
    Take laser diffraction on the road.
    Over 25 experiments can be carried out using the materials in this Metrologic Instruments Laser Diffraction Kit, including beam characteristics, polarization, reflection, refraction, interference, diffraction, index of refraction, Michelson interferometer, holography, and many more!
  • M1-32: SLITFILMS AND LONG FILAMENT BULB

    M1-32
    Diffraction and interference by various slits and combinations of slits.
    This uses the Cornell slitfilm 3"x4" slide to show various diffraction phenomena using a long-filament incandescant bulb. Set up for individual viewing: the observer holds the slit an inch or so in front of his or her eye and views the filament through the slit(s) of interest to view diffraction and interference. The Cornell slitfilm includes single, double, and multiple slits of various size and spacing.

    Recommended primarily for small groups.

  • M1-33: LASER DIFFFRACTION - PHONOGRAPH RECORD

    M1-33
    Demonstrate interference of a laser beam by a type of grating.
    This demonstration uses an old 33 1/3 RPM vinyl disc record to produce an interference pattern with a laser beam. Hold the record at an angle with respect to the incoming laser beam and look for the diffraction pattern on the wall or the ceiling. In the picture above the large disc covers up the laser, one support for which can be seen below the disc.
  • M1-34: LASER DIFFRACTION - COMPACT DISC

    M1-34
    Demonstrate interference of a laser beam by a type of grating.
    This demonstration uses a compact disc recording to produce an interference pattern with a laser beam. Hold the CD at an angle with respect to the incoming laser beam and look for the diffraction pattern on the wall or the ceiling. Note that the angle must be reasonably large because the spacing of the spiral "groove" on the disc is 1.6 microns, only about twice the wavelength of the laser light. You will see both the interference pattern and specular reflection off the shiny surface of the dics.
  • M2-01 LASER DIFFRACTION - PINHOLES

    M2-01
    Demonstrates laser diffraction by pinholes
    A series of pinholes is mounted on a slide which can be moved across the laser beam on a cross-carriage. Pinhole sizes include: 1.0mm, 0.8mm, 0.6mm, 0.4mm, 0.2mm, and 0.1mm. The pattern can generally be seen in the lecture hall without aid of a magnifying lens by backing the cart as far as possible away from the screen in front of the hall. For display on the small screen on the cart optical rail a spherical lens can be used if necessary.
    FS0
  • M2-02: LASER DIFFRACTION - OPAQUE DISCS

    M2-02
    Demonstrate laser diffraction by opaque discs.
    A set of opaque discs is mounted on a slides which can be moved across the laser beam on a cross-carriage. Two sets of opaque discs are available: (1) 0.25mm, 0.50mm, and 1.00mm, and (2) 0.50mm, 1.00mm, and 1.50mm. The smaller discs allow more laser light to pass around them and therefore produce a brighter pattern. The pattern can generally be seen in the lecture hall without aid of a magnifying lens by backing the cart as far as possible away from the screen in front of the hall. For display on the small screen on the cart optical rail a spherical lens can be used if necessary.

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  • M2-03: LASER DIFFRACTION - POISSON'S BRIGHT SPOT

    M2-03
    Demonstrate the Poisson (or Arago) bright spot.

    This is one of the keystone experiments in establishing light as a wave (rather than particles). The laser beam is expanded to around 4 cm diameter and passed around a 1 inch ball bearing which is suspended between two pointed rods. The diffraction pattern with its central bright spot is viewed on a distant screen. In the photograph at the left above the alignment of the ball in the expanded laser beam can be seen on the screen. In the photograph at the right the Poisson bright spot is seen on a ground glass screen about twenty feet from the laser, looking back toward the laser beam. This picture can be displayed on a video monitor or using a video projector.

    There is a fascinating story about the origin of this experiment, referenced from Eugene Hecht, Optics (Second Edition) and a the web site Fresnel Diffraction, written by Dean Dauger:

    In 1818, Augustin Fresnel submitted a paper on the theory of diffraction for a competition sponsored by the French Academy. His theory represented light as a wave, as opposed to a bombardment of hard little particles, which was the subject of a debate that lasted since Newton's day. Siméon Poisson, a member of the judging committee for the competition, was very critical of the wave theory of light. Using Fresnel's theory, Poisson deduced the seemingly absurd prediction that a bright spot should appear behind a circular obstruction, a prediction he felt was the last nail in the coffin for Fresnel's theory. However, Dominique Arago, another member of the judging committee, almost immediately verified the spot experimentally. Fresnel won the competition, and, although it may be more appropriate to call it "the Spot of Arago," the spot goes down in history with the name "Poisson's bright spot" like a curse.

    Note that the alignment of this system can be delicate and time-consuming; it is not recommended to combine with with other demonstrations using the same laser in a single 50-minute lecture.

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  • M2-04: LASER DIFFRACTION - HALO

    M2-04
    Demonstrate diffraction of laser light around small spheres.

    Breathe on a glass plate and sprinkle the plate lightly with lycopodium powder to create diffraction sources for the laser light. Laser light shining around the tiny spheres of lycopodium powder is diffracted, creating a series of rings around the main spot on a distant screen. The average diameter of lycopodium powder spheres is about 25-40 microns.

    Actually, this is a GLORY, not a HALO; a halo is a refraction/dispersion phenomenon while a glory is a diffraction phenomenon.

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  • M2-05: PINHOLE AND OPAQUE DISC - FRESN AND FRAUN DIFFRAC

    M2-05
    Show Fresnel and Fraunhofer diffraction from pinholes and opaque discs.

    Location of the screen determines the nature of the diffraction pattern: for nearby screen Fresnel diffraction is obtained, while for a distant screen Fraunhofer diffraction is obtained.

    Lens L1 (very close to the diffraction obstacle) maps the entire region to the right of the aperture to within the focal length of the lens. Lens L2 projects one plane at the focal point of the lens onto a screen. Moving L2 from about f2 away from L1 to f1+f2 away from L1 projects successively every plane, from the aperture to infinity, onto the screen. Thus as lens L2 is moved the diffraction pattern changes, as if the screen starts close and moves to infinity, showing first Fresnel diffraction, the transition region, and ending with Fraunhofer diffraction.

    The Poisson bright spot can be seen with the opaque disc if alignment along the optic axis is reasonably accurate.

  • M2-11: LASER DIFFRACTION - FRESNEL ZONE PLATES

    M2-11
    Demonstrate focusing by a Fresnel zone plate.
    Positioning a Fresnel zone plate along the axis of the laser beam creates focusing of the beam by the zone plate. A beam expander is used to make the laser beam wider before it encounters the zone plate. Fresnel zone plates are available in 5cm, 10.5cm, 30cm, and 2.3m focal lengths. Position the screen at a distance of one focal length from the zone plate to see the focus.

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  • M2-12: LASER DIFFRACTION - FRESNEL ZONE PLATE - FOCAL LENGTH

    M2-12
    Exhibit the foci of the Fresnel zone plate corresponding to its focal lengths.

    The focal lengths fm of a Fresnel zone plate are given by the relation fm=R1^2/mL, where R1 is the radius of the first zone and L is the wavelength of the light used. A small magnet-mounted diverging lens is placed on the end of the laser, the Fresnel zone plate and a 20 cm focal length convex lens are mounted on a single holder, and a 2 cm focal length convex lens is mounted on a second holder such that it can be moved very close to the first lens. The screen is opposite the laser on a two-meter optical rail.

    Start with the movable lens about 60-65 cm from the screen, and slide it back toward the laser. The first focus you come to (about 68 cm from the screen) corresponds to m=0, the zeroth order of the zone plate. Then, m=1 is at 83 cm, m=3 at 93 cm, m=5 at 97 cm. Between these foci, there is a small, bright "focus" which forms in a manner different from the others. These occur at 89 cm, 96 cm, etc., and correspond to the even orders m=2, 4, 6, etc. Ideally they should not be present because at these distances each transparent annulus contains an even number of Fresnel zones, which should exactly cancel out. That is, the "single slit" diffraction should cancel the interference, just as in the linear diffraction grating. If the rings aren't drawn perfectly, the cancellation isn't perfect, so the even orders are seen, as in the linear grating with slightly different spacing.

    Using this technique we find that the measured R1^2/L is 64.1 cm, not 2.3 m as specified on the zone plate. This gives R1=0.64 mm, which is quite accurate.

  • M2-21: MICROWAVES - DIFFRACTION BY CIRCULAR APERTURE

    M2-21
    Demonstrate diffraction of microwaves from a circular aperture.
    Twelve centimeter wavelength microwaves are incident on a circular aperture. The diffracted waves are picked up by the moveable microwave antenna and displayed using the overhead projector meter. Move the receiver either along the axis or perpendicular to the axis to map the diffraction pattern.