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Geometrical Optics

  • L2-63: TELEIDOSCOPE

    L2-63
    Demonstrate a kaleidoscope with rotating mirrors.

    The teleidoscope is a kaleidoscope with a telescopic eye. Rather than using bits of colored glass, the teleidoscope projects the light rays down into the tube and mirrors create multiple reflections. Each reflection forms one section of the pattern.

    For the teleidoscopic effect move the lamp, not the teleidoscope. Or, move objects in front of the lamp such as a printed page. Set lamp on LOW. CAUTION: Do NOT let the light shine directly into the TV camera.

    L2
  • L2-64: DUCK-IN KALEIDOSCOPE

    L2-64
    Allow individuals and small groups of people to experience kaleidoscopic effects.

    The kaleidoscope consists of three 4'x6' mirrors forming an equilateral triangle about three feet off the floor. Several series of reflections can be observed as the participant moves about the inside of the kaleidoscope.

    Shown below are a few pictures of Gwen having fun in the Kaleidoscope. If Gwen can have this much fun alone, just think of how much fun can be had by a bunch of people in there together!

    This was more or less in permanent residence in the Physics Lecture Hall Lobby for several years, but has been retired for the time being.

    l2-64al2-64b

    l2-64c

  • L2-65: METAMORPHOSIS OF A CUBE

    L2-65
    Show multiple reflections in an artistic way.
    Look through the peephole to see an infinite series of reflections of the objects inside.
  • L3-01: OPTICAL BOARD - CONVEX SPHERICAL MIRROR

    L3-01
    Show reflection of light rays from a convex mirror.
    Parallel rays incident on a spherical convex mirror appear to diverge from the focal point of the mirror as the apparent source. Use a convex lens to obtain parallel rays. Choice of baffle and distance of baffle from source determine the number of rays and their spacing.
    FS0
  • L3-02: OPTICAL BOARD - RAY DIAGRAM - CONVEX MIRROR

    L3-02
    Determine the image position for an object in front of a convex mirror using the three principal rays.
    This is a very short focal length circular mirror which will form a virtual image inside the mirror. The tip of the object arrow is a rotating front surface mirror; the optic axis is located by light passing through the center of a half-silvered mirror, part of which is reflected by the mirror at the tip of the object. The three principal rays can be formed by rotating the mirror, and their projection within the convex mirror marked by masking tape. Use of other rays verifies that all rays from the source point converge on the image point. The convex lens before the mirror setup keeps the rays narrow.

    l3-02a

    l3-02b

  • L3-03 LARGE CONVEX MIRROR (60cm)

    L3-03
    Shows the image from a convex mirror
    Just observe your image in the mirror. Note that this type of mirror is used in stores, school buses, and other commercial applications. Because it produces an erect and small image, it can be used as the right hand rear view mirror in a car to see over several lanes of traffic. Because the image is smaller and therefore looks farther away, rear view mirrors carry the warning "Objects in this mirror are closer than they appear."
    OS8
  • L3-11: OPTICAL BOARD - CONCAVE SPHERICAL MIRROR

    L3-11
    Illustrate reflection from a concave spherical mirror.
    A series of parallel rays are formed using a slit baffle and with concave and convex lenses. These rays are incident onto a concave spherical mirror, which focuses them to a point with some spherical aberration, as can be seen in the photograph. Number and spacing of rays are adjustable by choice of baffle and position of baffle. A baffle with sets of rays of different color can be used to draw attention to the different aberration of different sets of rays.
    FS0

    l3-11a

  • L3-12: OPTICAL BOARD - RAY DIAGRAM - CONCAVE MIRROR

    L3-12
    Locate the image of a concave mirror by using the three principal rays.

    This is a long focal length concave parabolic mirror that produces an image between the object and the focal point of the mirror for the setup photographed. The central ray passes through a half-silvered mirror which deflects half of the light to the tip of the object arrow. The upper mirror can be rotated to create any of the three principal rays. A convex lens at the left keeps the light ray narrow.

    The object can be moved within the focal point of the mirror to produce an enlarged virtual image behind the mirror.

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    l3-12b

  • L3-13: OPTICAL BOARD - SPHERICAL ABERRATION IN CONCAVE MIRROR

    L3-13
    Show spherical aberration in a spherical mirror.

    Spherical aberration can be shown using a number of rays to show how they focus. The number and spacing of rays can be changed by choice of slit baffle and changing the position of the baffle. A baffle with pairs of rays equidistant from the optical axis of different colors can be used to emphasize the difference between pairs of rays.

    Using a rectangular open baffle the caustic can be illustrated, as in the photograph at the right above.

    l3-13a

  • L3-14 LARGE CONCAVE MIRROR (60cm)

    L3-14
    Shows types of images from a concave mirror
    Observe and describe the image of the class sitting in front of the mirror when the mirror is at a reasonably large distance away (inverted, small, real). Ask your students if they have this kind of mirror at home. After they say no, hold the mirror close to your face an let them view the image by turning your back to the class, producing an upright, large, virtual image.
    OS8

    geo

  • L3-15: ROTATING LIQUID MIRROR

    L3-15
    Demonstrate focusing by the parabolic surface of a rotating liquid.

    A container of glycerine darkened by blue food coloring is rotated at 45 RPM so that it forms a parabolic mirror with a focal length of about 22 cm. A lighted object 70 cm above the surface forms a virtual erect image 70 cm below the surface when the liquid is quiescent, and a real, inverted image 32 cm above the surface when the liquid is rotating. A ruler is positioned at the height of the real image for reference.

    The image can be viewed directly individually from above or it can be shown to the entire class using the TV camera and monitor. The difference in the focus for the two images is seen very nicely; the real image is clearly in focus with the ruler, while the virtual image is both inverted and out of focus. Below are views of the image as seen by the video camera mounted next to the object cross: image of cross with liquid at rest (second left), camera focused on ruler with liquid at rest (center), and image with liquid rotating, showing image and ruler in focus at the same point (right).

    Many modern telescope mirrors up to 25 feet in diameter are constructed using this technique of "spin-casting." A container of molten glass is rotated as it cools, forming a nearly perfect parabolic mirror, the surface of which is then ground to eliminate small errors and coated with a reflecting material.

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  • L3-16 FOCUSING OF HEAT WAVES BY MIRRORS

    L3-16
    Demonstrates that concave mirrors can focus heat waves
    Two parabolic concave mirrors are used to focus heat from a nichrome heater and light a match.
    L3, PW1
  • L3-17: FOCUSING OF HEAT WAVES - ARC LAMP AND PARABOLIC MIRROR

    L3-17
    Demonstrate focusing of heat waves by a concave mirror.
    The arc lamp with condenser lens produces a nearly parallel beam of heat. The parabolic concave mirror focuses the heat onto the match head, lighting the match in about ten seconds from a distance of about ten feet.

    l3-17a

  • L3-18: FOCUSING OF HEAT WAVES - OVERHEAD PROJECTOR

    L3-18
    Illustrate focusing of heat in a very dramatic way.

    This demonstration uses one of the old overhead transparency projectors that focuses the light by a large parabolic mirror under the platform (rather than a Fresnel lens on the platform as in newer models), as seen in the images above. The heat filter and the mirror system above the projector have both been removed. There is sufficient heat focused about two feet above the projector to burn a piece of black paper in a few seconds. In a dark room, the focal point can be clearly seen as the smoke from the paper scatters the light.

    Engagement Suggestions

    Invite students to predict what would happen if you used white paper rather than black.

    • • Would it still burn?
    • • Would it take more or less time to ignite?
    Background

    This demonstration illustrates two important points. It clearly shows that light can be focused to a point by a curved reflector. It is also an illustration of infrared radiation, and the connection between light and heat. When appropriate to the course, consider combining this with a discussion of the wavelengths of the electromagnetic spectrum, and the relationships of energy, heat, and temperature.

    FS1

    l3-18a

  • L3-19 PENNY AND PARABOLIC MIRRORS

    L3-19
    Classic illusion of penny levitating above a pair of parabolic concave mirrors
    This commercial apparatus forms a real image of a penny glued to the bottom mirror. Two concave parabolic mirrors with the correct focal length and spacing create an image of the penny levitating on the opening of the upper mirror. The illusion can be viewed within a limited angle, so it is most effective for individual observation. A ray drawing is included which shows how the image is produced.

    Invite students to place their hand through the image, to get a feel (or not) for what's happening. Have them consider where such images might be used.

    L3
  • L3-20: APPARENT REFLECTION FROM REAL IMAGE

    L3-20
    Illusion of laser beam reflecting off an image!

    The laser beam is directed onto the image of the penny from demonstration L3-19: PENNY AND PARABOLIC MIRRORS. It appears to be reflecting from the image, although the multiple reflections seem to disperse the laser beam so that it does not emerge intact.

    A little fog from the fog machine shows the incoming laser beam. Notice that because laser light is more dense than air some of it remains in the illusion chamber after the laser is turned off (photograph at right).

    L3, LS1

    l3-20a

    l3-20b

  • L3-21: LIGHT BULB AND PARABOLIC MIRROR

    L3-21
    Optical illusion with real image of a concave mirror
    A light bulb is mounted upside down in the black box and positioned at the center of curvature of the mirror. The image is real, inverted, and located at the same position as the object, as seen in the photograph. The bulb can be unscrewed and removed, but it remains lit in the socket! This has a limited field of view, but can be rotated on the stand so that all viewers can see it.
    L3
  • L3-22: MIRAGE

    l3-22
    Demonstrate an optical illusion using concave mirrors.
    Place any small object in the lower mirror, taking care to center it. Almost any small object works well: a ring, strawberry, sugar cube, butterfly, marbles, coins, nuts and bolts, jelly beans, buttons, flowers, vitamins - you name it. Set the upper mirror on top. Instantly, the object appear floating above the mirrored circle, in life-like color and solid appearance. Shine a light on it. Look at it from all sides. But reach to touch it, and your fingers go right through. There's nothing there but thin air!
    L3
  • L3-23: IMAGE ON SCREEN USING CONCAVE MIRROR

    L3-23
    Show an image produced by a concave mirror.
    A lighted object and a concave mirror set up as photographed produce a real image, which is cast onto a screen. Two mirrors are available: 100 cm focal length and 30 cm focal length. The optical table is positioned three to four meters from the screen, and the mirrors can be adjusted slightly to obtain a good focus.
  • L3-24: OPTICAL BOARD - SPHERICAL AND PARABOLIC MIRRORS

    L3-24
    Demonstrate the difference in spherical aberration between concave spherical and parabolic mirrors.
    A double optical board mirror assembly includes circular and parabolic mirrors with the same focal length. The circular mirror focuses parallel rays with aberrations as seen in the photograph at the left. Rotating the assembly inserts the parabolic mirror, which is free from spherical aberrations, as can be seen in the photograph at the right. The number and spacing of rays can be varied by choice of slit baffle and position of slit baffle. A slit baffle is available for which rays at different distances from the central ray are colored differently. A pair of concave and convex lenses at the left in the photograph are used to produce the parallel rays.

    l3-24a