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Interference

  • M3-05: MICHELSON INTERFEROMETER - COMPONENT MODEL

    M3-05
    Assemble your own Michelson interferometer using components.

    Circular fringes can be produced from a gently defocused laser beam showing very nice spherical two-beam interference. Align the mirrors first without the collimator and lens, so that the beams from the two mirrors overlap on the beam splitter and screen. Then add the collimator and the lens. The photographs at the center and right above were taken with (center) and without (right) a neutral density filter.

    Block either path and the fringes disappear. Room vibrations cause interesting fringe motion. A finger on the mount can move the pattern by a single fringe. A finger on the edge of one path shows heating of the air.

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  • M3-06: MICHELSON INTERFEROMETER - GAS CELL

    M3-06
    Show that the speed of light in air is different from the speed of light in a vacuum.

    The gas cell is positioned in one arm of the interferometer between the beam splitter and the moveable mirror such that the surfaces of the cell are perpendicular to the laser beam. After obtaining a clear set of fringes, pump some of the air out of the cell. Measure the pressure before and after and the number of fringes passed while pumping. The refractive index of the gas varies directly with its density, and the index of refraction of a vacuum is one. Thus a graph of refractive index as a function of pressure must go through the point x=0, y=1. Determine the slope of the line by calculating the change in the refractive index: if n1 is the index at the initial pressure and n2 is the index at the final pressure, then n1-n2=mL/2d, where m is the number of fringes counted, L is the wavelength, and d is the length of the gas cell (only the gas region, not the end plates).

    The final photograph above is a detail of the fringe pattern. In the video linked below, you can see the fringes shift as air is pumped from the gas cell. You can hear the clicks from the hand pump as it removes air from the cell.

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  • M3-21: MICROWAVES - MICHELSON INTERFEROMETER

    M3-21
    Michelson interferometer using microwaves.

    A wire cookie cooler is used as the beam splitter in a microwave Michelson interferometer. Two aluminum plates function as the mirrors on the two legs. As either of the plates is moved along the optic axis the intensity of the beam at the location of the receiving antenna varies, with the intensity displayed on an overhead projector meter. The wavelength of the microwaves is about 12 cm, so a change of about three cm is required for the two beams to change in or out of phase.

    The sequence of pictures above show the reflector at the right being withdrawn by intervals of one-quarter wavelength, resulting in alternating minima and maxima of the recombined microwave beam at the location of the receiving antenna.

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  • M3-31: INTERFEROMETER MODEL - MOIRE PATTERN

    M3-31
    Moire pattern model of interferometer.
    Two coherent monochromatic soiurces are modeled by transparencies of two sets of concentric uniformly spaced circles. Superpose the two sources and look along the line between the centers for the circular (in three dimensions) interference pattern. This model shows waves in a two-dimensional plane including the sources. A single source is shown at the right.

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  • M3-41: FABRY-PEROT INTERFEROMETER - LASER LIGHT

    M3-41
    Class view of Fabrey-Perot interferometer fringes.
    The Fabrey-Perot interferometer etalon is mounted on the Michelson interferometer base and illuminated by a laser beam expanded with a 40x beam expander mounted on the laser. The interference pattern can be viewed directly for class display with a TV camera with zoom lens: set focus at infinity, adjust f-stop for desire brightness, and zoom to desired size.
  • M3-42: FABRY-PEROT INTERFEROMETER - SODIUM LIGHT

    M3-42
    Sodium light interference with Fabry-Perot interferometer.
    Using sodium light a nice circular interference pattern can be obtained, which can be effectively viewed with the TV camera zoom lens. The Fabry-Perot interferometer can resolve the sodium doublet.
  • M4-01: INTERFERENCE IN THIN MICA SHEET - PROJECTION

    M4-01
    Demonstration of thin film interference.
    Reflection of a high-intensity mercury lamp off the two surfaces of a thin mica sheet creates a nice series of interference rings. This is easily visible over the entire lecture hall.

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  • M4-02: NEWTON'S RINGS - PROJECTION

    M4-02
    Demonstrate a well-known interference pattern
    A high-intensity mercury lamp illuminates a pair of touching glass surfaces, one plane and the other convex, contacting each other along the central ray. The reflected light is focused onto a distant screen, forming the classical Newton's rings interference pattern.
  • M4-03: WEDGE INTERFERENCE FILTER

    M4-03
    Demonstrate interference by a variable thickness wedge.
    Two semitransparent silver films are on glass plates which are sealed together but separated by a uniformly wedged transparent spacer film. Interference between the waves reflected off the two interior surfaces either cancel or reinforce the reflected wave, enhancing the transmitted wave to produce partially saturated colors.

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  • M4-04: INTERFERENCE BETWEEN GLASS PLATES

    M4-04
    Demonstration of interference by a thin film.

    Light reflecting from the rear surface of the front plate (left) and the front surface of the rear plate (right) interfere. When the reflected waves are in phase that color will be focused on a screen to the left of the picture by the large lens. When the reflecting waves are out of phase no reflected light is seen. The light baffle at the left prevents direct light from the source from getting into students' eyes. Flex the two glass plates to vary their spacing. A thin piece of paper or a hair can be squeezed between the plates at one end to produce a wedge filter.

    The photograph above shows the interference pattern.

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  • M4-11: ANTI-REFLECTIVE COATING

    M4-11
    Show how a quarter-wavelength coating prevents reflectino.

    This is a dielectric coating with an index of refraction between that of air and glass, that covers one-half of the glass plate. If the coating is one-quarter wavelength thick for yellow light it prevents reflection of yellow light because the reflections from the two surfaces are exactly out of phase.

    Light from a bright point source with a condenser lens and iris is focused by a 20 cm focal length convex lens through a glass plate onto a distant screen. In the photos above the glass plate reflects some light which is reflected a second time by a front surface mirror to form a spot to the right of the direct beam from the bright point source.

    With no anti-reflective coating (left above) the direct beam is less intense because of the reflected beam. When the anti-reflective coating is raised into the beam (right above) the direct beam is more intense and the reflected beam is less intense. When the yellow filter is used the beam reflected by the anti-reflective coating is slightly magenta colored, because the thickness of the coating is not quite one-quarter wavelength for the extreme colors of the spectrum.

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  • M4-12: DICHROIC FILTERS

    M4-12
    Show how dichroic filters work.

    These filters are glass plates that contain a series of equally spaced high refractive index dielectric layers. The layers reflect light of a particular wavelength, leading to destructive interference, so the reflected and transmitted light are complementary colors. The filter is labeled by the transmitted color, so a red filter transmits red and reflects cyan, a yellow filter reflects blue, a green filter reflects magenta, and a blue filter reflects yellow. To facilitate re-mixing and display, the spacing of the reflective layers in these filters are designed for light incident at 45 degrees.

    In the photographs above the direct beam is at the left and the reflected beam is at the right. The reflected beam from the red filter (left) is a bit saturated, so the cyan coloring is not readily visible.

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  • M4-21: SOAP FILM INTERFERENCE - SIMPLE LARGE VERSION

    M4-21
    Very simple and clear demonstration of soap film interference.

    A Bright point source of light at the right illuminates a soap film in the wire ring. The transmitted light is seen at the left and the reflected light at the rear between the light source and the wire ring. Note that the reflected and transmitted colors are complements, although the transmitted light is desaturated by the white light background, as seen above.

    After a while the top section of the film becomes less than one-quarter wavelength thick, so the waves reflected from the front and rear surfaces of the film are out of phase, resulting in no reflected light.

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  • M4-22: SOAP FILM INTERFERENCE - PROJECTION

    M4-22
    Demonstrate soap film interference in a complicated way.
    Light from the bright point source is focused by a 30 cm focal length convex lens onto a small wire loop with a soap film. The reflected light from the soap film is focused onto a screen by a 5 cm focal length convex lens, and the transmitted light is focused by a second 5 cm convex lens and positioned on the screen using a small front surface mirror.
  • M4-23: SOAP FILM INTERFERENCE - ROTATING HEMISPHERE

    M4-23
    Demonstrate circular soap film interference patterns.

    The rotation of the soap film produces a radial thickness gradient, which leads to rings of color around the soap film. The center becomes black when it is less than one-quarter wavelength thick.

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  • M4-24: SOAP FILM INTERFERENCE - CORRIDOR DISPLAY

    M4-24
    Show soap film interference and minimum energy soap surfaces.
    This wonderful apparatus was copied from a corridor demonstration at the University of Minnesota. Five wire shapes are continually dipped into a tank of soap solution and withdrawn by a series of cam mechanisms on a shaft which rotates about once every 5 seconds. The type of surface which the soap solution forms can be nicely viewed as well as the beautiful soap film interference patterns. It was previously set up in a display case with switches which operate either a light or the rotation or both. It is currently being redesigned for classroom use.

    Also see the close-up photographs of the soap film geometrical figures.

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  • M4-25: INTERFERENCE IN LARGE SOAP FILM - SODIUM AND WHITE

    M4-25
    Large interference demonstration for lecture hall use.

    Soap film interference is created in a large rectangular area, shown above for sodium light and for white light, using the apparatus photographed below. The light sources are inside the large wooden box, and reflect off the screen to yield a very uniform, broad source. The interference patterns created are very large and possess extraordinarily beautiful saturated colors.

    NOTE: The audience views this demonstration from the left in the photograph of the equipment to see the patterns in the photographs at the top above.

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  • M4-31: IRIDESCENT BOTTLE

    M4-31
    Demonstrate iridescence from thin film interference.
    Iridescence involves production of colors due to interference. Here the interference between light reflecting from the two surfaces of a thin celophane sheet inside the bottle lead to beautiful but faint partially saturated colors.
  • M5-01: LASER DIFFRACTION - TWO DIMENSIONAL GRATINGS

    M5-01
    Show diffraction by two dimensional gratings.
    Positioning a two dimensional grating produces characteristic two dimensional diffraction patterns.

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  • M5-12: LASER DIFFRACTION - RAZOR EDGE

    M5-12
    Diffraction of a laser beam by a sharp edge.
    Position the razor edge in the laser beam using the double cross carriage to see the classic knife edge diffraction pattern on a distant screen. The pattern can be seen on a near screen using a cylindrical lens. The lens may enhance the pattern on the distant screen.

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