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Interference

  • G4-31: MOIRE PATTERNS

    G4-31
    Show a type of interference pattern.
    A set of matched patterns can be positioned on the overhead projector such that they create a type of interference pattern, as seen in the photographs. Try to figure it out, or just enjoy.

    g4-31a

  • G4-32: MOIRE PATTERNS - COLOR

    G4-32
    Show color "interference" effects.
    Pattern transparencies of different color and physical character can be combined in various ways to obtain a variety of exotic effects. Several patterns obtained using various sets of colored transparencies are shown below. The moire patterns between one transparency and the lines of the video are as interesting as the lines created by the superposition of the two colored transparencies!
    G4

    g4-32a g4-32b g4-32c

  • H2-21 AUDIBLE YOUNG'S EXPERIMENT - GROUP LISTENING

    H2-21
    Demonstrates interference of sound waves with two coherent sources
    The oscillator-amplifier is set to approximately 3000 Hz, with identical signals being applied to both loudspeakers. Rotating the loudspeakers past the listeners allows them to observe the interference pattern by hearing the alternating maxima and minima in the intensity pattern.
    OS2
  • H2-22: INTERFERENCE - TRANSPARENCIES

    H2-22
    An optical analog to the interference pattern from two identical sound sources.
    Transparencies consisting of a series of equally-spaced concentric rings are superimposed on each other. The interference pattern from these two identical sources can be observed as the distance between the two sources is varied. Two sizes of circle spacings (corresponding to two wavelengths) are supplied, as shown in the photographs.
    H2

    h2-22a

  • H2-24: AUDIBLE YOUNG'S EXPERIMENT - MIC AND SCOPE

    H2-24
    Demonstrate interference of sound with two coherent sound sources in a quantitative way.
    The oscillator is set to approximately 3000 Hz, with identical signals being applied to both loudspeakers and displayed on the lower oscilloscope trace. The microphone, with its signal displayed on the oscilloscope upper trace, can be moved around to observe the interference pattern by displaying the alternating maxima and minima in the intensity pattern. Nodal and antinodal lines can be observed and measurements made to show the relationships between the wavelength, source separation, and the nodal/antinodal lines. Invite students in the audience to volunteer what they hear at different points, and compare it to what the microphone picks up.
    H2, ME2, ME3, OM1
  • H2-25: QUINCKE'S INTERFERENCE TUBES

    H2-25
    Demonstrate interference of sound waves in a perhaps surprising way.
    An oscillator, with its output displayed on the lower trace of the oscilloscope, is attached to a speaker such that the sound is introduced into one end of a tube through a funnel. A microphone is inserted into the other end of the tube with its output shown on the upper trace of the oscilloscope. The tube between the speaker and the microphone splits into two paths, one being about 50 cm longer than the other. At a frequency of about 350 Hz, the waves from the two separate paths are out of phase when they recombine, so the signal reaching the microphone is a minimum. Pinching the longer tube removes one-half of the signal, yet the amplitude at the microphone increases. This may seem to be a surprising result! As the frequency is increased, values will be found where the waves from the two paths are alternately in and out of phase, yielding a series of maxima and minima in the recombined signal. Pre-set this device at a nodal point, so that when you stop the longer tube by squeezing, the signal at the microphone increases in amplitude, and let your students try to explain it.
    H2, ME2, ME3, OM1
  • H2-54: BEATS - MOIRE PATTERN MODEL

    H2-54
    Model for beats between mistuned audio oscillators.
    Two transparencies of equally-spaced lines and spaces are used to model beats. One transparency has been reduced about ten percent so the two transparencies represent two sound waves of different frequencies, where (for example) the dark lines represent the compressions and the white lines represent the rarefactions. Aligning the two transparencies on top of each other on the overhead projector creates waves which go in and out of phase as time progresses: when they are in phase the sound is loud, but when they are out of phase the sound is soft, creating beats.
    h2

    h2-54a

  • M1-11 LASER DIFFRACTION - FIXED DOUBLE SLITS

    M1-11
    Demonstrates double slit interference

    A slide containing four sets of double slits is positioned in the laser beam using a slide holder on a cross-carriage mount. Any of the four sets of slides can easily be slid into the beam. The slits are available in two different widths with tow different separations. Challenge your students to predict how the relationship of slit width and slit spacing will affect the interference pattern created.
    Background

    Collimated light waves come from the laser and pass through a pair of narrow slits in the slide; the light passes through and then projects on the distant screen. But light travels as an electromagnetic wave, so when the light comes out of the two slits, it forms two wavefronts, just like ripples from two stones dropped in a pond. These two wavefronts can interfere with each other, as we can model with this pair of overlapping concentric circles. Where two peaks or two valleys of the wave pattern line up, they add together, interfering constructively; when a peak and a valley overlap, they cancel out, interfering destructively. The same happens with light waves; the light from the two slits overlaps, and creates a pattern of bright spots (constructive interference) and dark spots (destructive interference). The spacing between the bright and dark fringes ultimately depends on three things: the distance between the slits and the screen, the wavelength of the light, and the spacing between the two slits.

    Two simulations that can be of value in introducing this topic:
    • a ripple tank simulation here in the Physlet Physics collection at AAPT’s compadre.org: https://www.compadre.org/Physlets/optics/prob37_7.cfm Use your mouse to measure the positions of the peaks relative to the double slit at the base of the image.
    • this PhET Simulation at the University of Colorado: https://phet.colorado.edu/sims/cheerpj/quantum-wave-interference/latest/quantum-wave-interference.html Use the button on the right to activate the double slit barrier.
    FS1
  • M1-12: INTERFERENCE - TRANSPARENCIES

    M1-12
    Analog to the interference pattern from two identical light sources.
    Transparencies consisting of a series of equally-spaced concentric rings or a tight spiral are superimposed on each other. The interference pattern from these two identical sources can be observed as the distance between the two sources is varied. Two sizes of spacings (corresponding to two wavelengths) are supplied.
    H2

    m1-12a

     

  • M1-13: INTERFERENCE - KLINGER TRANSPARENT SLIDES

    M1-13
    Model interference between two point sources.
    Two slides of identical concentric equally-spaced circles are superimposed on an overhead projector to create an effect analogous to interference between two identical monochromatic light sources. Spacing between the sources can be varied to simulate variation in slit spacing.

    m1-13a

     

  • M1-14: MICROWAVES - INTERFERENCE OF TWO POINT SOURCES

    M1-14
    Demonstrate interference using microwaves.

    Two identical transmitting antennas for microwaves (shiny strips mounted on meter stick) are driven by the same source, creating two coherent sources. Scanning the region in front of the two sources reveals an interference pattern, which can be seen by a class using a projection meter connected to the microwave receiver.

    The photograph at the left shows the receiving antenna at the central maximum; at the right the receiving antenna is at the first minimum.

    m1-14a

     

  • M1-15: MICROWAVES - YOUNG'S DOUBLE SLIT INTERFERENCE

    M1-15
    Illustrate two-slit interference using microwaves.
    Microwaves from the source at the right pass through a pair of slits and interfere in the region to the left of the slits. The interference pattern is picked up by a microwave receiver and displayed for the class using the overhead projector microammeter. The photograph at the left shows the receiver at the central maximum; in the center photograph the receiver is at the first side minimum.
    K8

    m1-15am1-15b

     

  • M1-16: INTERFERENCE OF LIGHT - SOUND WAVE MODEL

    M1-16
    Show explicitly how two waves with the same amplitude and frequency will interfere when their relative phase changes.
    The University of Maryland 12-channel Fourier synthesizer is used with two fundamental frequencies (N=1) and their sum (top trace, scale not the same) displayed on the oscilloscope. As the phase of either signal is changed the two components go in and out of phase and the sum wave changes amplitude. The sequence of photographs below show the addition of the waves as they move in opposite directions by 22.5o steps (center trace to the left, bottom trace to the right). The sum wave from the synthesizer is fed into a loudspeaker to provide audible as well as visual evidence of the interference.

    m1-16jm1-16bm1-16cm1-16dm1-16em1-16fm1-16g

     

  • M1-35: LASER DIFFRACTION - VIDEODISC

    M1-35
    Demonstrate diffraction of a laser beam by a standard videodisc.
    A standard videodisc has very small "line" spacing, so it produces a diffraction pattern that has very large spacing between the diffraction maxima, as seen in the photograph above.
  • M1-41: PEACOCK FEATHER

    M1-41
    Demonstrate a type of iridescence.
    Iridescence is created by the interference of light, here due to scattering of the light off a series of equally-spaced steps in the structure of the feather. The color can be seen to result from interference by observing that the hue (wavelength) changes as you view the feather from slightly different angles, as can be seen in the close-up views below.

    m1-41am1-41b

     

  • M1-42: IRIDESCENT GREEN JUNE BEETLE

    M1-42
    Demonstrate a type of iridescence.
    Iridescence is created by the interference of light, here due to scattering of the light off a series of equally-spaced steps in the structure of the beetle shell. The color can be seen to result from interference by observing that the hue (wavelength) changes as you view the beetle from slightly different angles.
  • M3-01 MICHELSON INTERFEROMETER - LASER LIGHT

    M3-01
    Shows laser light fringes using a Michelson interferometer
    This experiment uses the laser and white light combination Michelson interferometer setup. The laser light is expanded by a 2 cm focal length convex lens and reflected into the interferometer by a front surface plane mirror. Either circular or straight line fringes can be displayed by adjusting the tilting mirror. The light exiting the interferometer is focused onto a distant screen, providing a field about one foot in diameter, clearly visible over the entire lecture hall.
    FS1
  • M3-02: MICHELSON INTERFEROMETER - WHITE LIGHT

    M2-02
    Show white light fringes using a Michelson interferometer.

    This experiment uses the laser and white light combination Michelson interferometer setup. Because alignment requires a laser, this demonstration will be delivered (and can be used) with a laser installed. White light from a bright point source is collimated by a condenser lens and passes through a heat filter directly into the interferometer. The light exiting the interferometer is focused onto a distant screen, providing a field about one foot in diameter, clearly visible over the entire lecture hall. The fringe colors can be seen to be negative colors, that is, complementary colors to the colors to the spectral colors which are eliminated by destructive interference.

    The photographs above show some of the color patterns using this interferometer.

    This demonstration is very sensitive to alignment and temperature, and is not recommended for routine classroom use.

    FS1

    m3-02am3-02bm3-02cm3-02d

     

  • M3-03: MICHELSON INTERFEROMETER - MERCURY LIGHT

    M3-03
    Show mercury light fringes with a Michelson interferometer.
    This arrangement will project beautiful mercury fringes of medium brilliance onto a projection screen. (CURRENTLY UN-AVAILABLE)
  • M3-04: MICHELSON INTERFEROMETER - SODIUM LIGHT

    M3-04
    Show the interference of sodium yellow light with a Michelson interferometer.
    This experiment uses a large sodium source with the Michelson interferometer to produce fringes. The pattern is not bright enough to project, so it is displayed for the class using TV. With the two optical paths very nearly equal, the two yellow lines are in phase and the interference pattern has very good definition. Adjust the moving mirror so that the path lengths are not equal to obtain less contrast in the pattern.

    This demonstration is very sensitive to alignment and temperature, and is not recommended for routine classroom use.