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Geometrical Optics

  • L6-39: DISTORTION - PINCUSHION AND BARREL WITH 2 IRISES

    L6-39
    Show pincushion and barrel distortion.

    The optical system in the photograph includes the following: bright point source with condenser lens, ground glass screen, wire mesh object, first iris, 8 cm focal length lens, second iris, and distant screen, as seen in the photograph at the right above.

    Set the two irises to about one-third of their maximum opening to obtain a distortion free image (photograph at left below). Opening the second iris (preceding the lens) causes pincushion distortion (photograph at center below), while opening the first iris (following the lens) produces barrel distortion (photograph at right below).

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  • L6-40: DISTORTION - PINCUSHION AND BARREL

    L6-40
    Fast and simple way to show pincushion and barrel distortion.

    The optical system in the photograph includes the following: bright point source with condenser lens, 5cm focal length plano-convex lens with flat side toward light source, copper wire screen, and 10 cm diameter 23 cm focal length convex lens. The image of the wire mesh is cast on a screen at about 10 feet from the optical cart.

    To produce barrel distortion, position the wire mesh close to the first lens and position the large lens about 23 cm from the mesh to focus the image of the mesh on the screen, as shown in the photograph at the left below. The resulting barrel distortion is seen in the left center photograph.

    To produce pincushion distortion, position the wire mesh about 15 cm from the first lens and position the large lens about 23 cm from the mesh to focus the image of the mesh on the screen, as shown in the right center photograph below. The resulting pincushion distortion is seen in the photograph at the right.

    This demonstration also shows "curvature of field," because the focal position of the 23 cm lens is different to focus the center of the mesh than to focus the periphery.

    View from within a few feet to observe chromatic aberration.

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  • L6-41: DISTORTED IMAGE - PINCUSHION AND BARREL

    L6-41
    Slightly more complicated but better way to show pincushion and barrel distortion.

    This demonstration provides a more diverse technique for producing barrel and picushion distortion. The optical system in the photograph includes the following: bright point source with condenser lens, 5cm focal length plano-convex lens with flat side toward light source, copper wire screen, and 10 cm diameter (approximately) 15 cm focal length focusing concavo-convex meniscus lens. The image of the wire mesh is cast on a screen about 10 feet from the optical cart. The photographs below show the detailed setups used to achieve either barrel or pincushion distortion (top row) along with the distorted image produced using each setup (bottom row).

    In the pairs of photographs at the left and left center, the screen is positioned about 15 cm from the first lens, and the meniscus lens is positioned to focus the image of the wire mesh on the screen. To obtain barrel distortion the lens must be about 12 cm from the wire mesh and the convex side of the lens must be facing the screen (set at left). To obtain pincushion distortion the lens must be about 18 cm from the wire mesh and the convex side of the lens must be facing the light source (set at left center).

    In the pairs of photographs at the right center and right, the screen is positioned close to the first lens, and the meniscus lens is again positioned to focus the image of the wire mesh on the screen. To obtain barrel distortion the lens must be about 18 cm from the wire mesh and the convex side of the lens must be facing the light source (set at right center). To obtain pincushion distortion the lens must be about 12 cm from the wire mesh and the convex side of the lens must be facing the screen (set at right).

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  • L6-42: DISTORTION AND CORRECTION

    L6-42
    Illustrate pincushion and barrel distortion and correction thereof.
    This is a two-lens system with an iris between, modeling camera or projector lenses. For the purpose of this demonstration there are apertures preceding and following the lens doublet. Closing only the preceding aperture results in barrel distortion, and closing only the following aperture produces pincushion distortion. Closing only the aperture between the two lenses results in no distortion.
  • L6-43: DISTORTED PERSPECTIVE

    L6-43
    Distortion by a simple lens.

    Viewed from about 30 cm in front of a large diameter 20 cm focal length convex lens, the back edge of a matchbox about 10 cm behind the lens appears longer than the front edge.

    For large groups, a TV camera is positioned about 30 cm in front of the lens, as in the above photograph.

    L6, OM1
  • L6-51: OPTICAL BOARD - FRESNEL LENS

    L6-51
    Demonstrate construction of a Fresnel lens.
    Set up the hyperbolic convex lens with the seven-ray slit baffle so that the entire aperture of the lens is used (left). Then replace the regular lens with the hyperbolic Fresnel lens, on which one of the light rays uses each separate segment in the lens (right). This shows how to construct a lens which focuses like a standard double convex lens but uses much less material.

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  • L6-52: FRESNEL LENSES - MISCELLANEOUS

    L6-52
    Allow individual experience with plastic Fresnel lenses.

    Several types of Fresnel lenses are included: (1) a sheet of 20 identical divergent (concave) Fresnel lenses (seen in the photograph at the right above), (2) a 12" diameter divergent (concave) flexible Fresnel lens, called a "Lensor" (seen in the photograph in the center above), and (3) convergent (convex) Fresnel lenses of 5.9, 12.5, 14.5, 15.2, 22.5, and 30.5 cm focal lengths, among others.

    The convex Fresnel lenses were obtained from a facility which manufactures optically programmed traffic signals (See Demonstration L6-54: OPTICALLY PROGRAMMED TRAFFIC SIGNAL - MODEL.)

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  • L6-53: FRESNEL LENS MAGNIFIER

    L6-53
    Demonstrate magnification by a thin plastic Fresnel lens.
    A mounted convex Fresnel lens is placed in front of an oil can, creating a magnified image.
    L6

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  • L6-54: OPTICALLY PROGRAMMED TRAFFIC SIGNAL - MODEL

    L6-54
    Illustrate the optics of an optically programmed traffic signal.

    The overhead projector platform is covered by two color filters, arranged so that the left section is green and the right section is red, and the entire projector except the exit lens is covered by a box. When the lens is aimed at the class, the red and the green areas are focused such that any student sees either red or green, as in the photograph at the right above.

    Optically programmed traffic signals make use of Fresnel lenses in a similar type of optical system to allow the light to be seen only in certain lanes of traffic. Optically programmed traffic signals can be identified because they should be rigidly attached to some support and they are rather soft colors (not bright like direct lights).

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  • L6-55: FRESNEL FLASHLIGHT

    L6-55
    Show an application of the Fresnel lens.
    A "Fresnel flashlight" has a Fresnel lens covering the central area of the glass, causing light which would normally spread out over a large cone to be focused into a nearly parallel beam. Unfortunately, when you compare the light output of this Fresnel flashlight with that of a normal flashlight it really doesn't seem brighter. But it's a nice idea for peddling flashlights.

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  • L6-56: FRESNEL SPOTLIGHT

    L6-56
    Illustrate how Fresnel lenses are used in theatre spotlights.
    The lens of this spotlight has a very short focal length, yet is quite thin and light because it is a Fresnel lens. The bulb in the spotlight can be moved along the optic axis to change the size of the area lit by the spotlight.

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  • L6-71: OPTICAL DISC

    L6-71
    Demonstrate a number of ray optics phenomena.
    Ths setup works well for small groups, and is suggested for those taking demonstrations to area schools, etc. A large range of demonstrations is available for the Optical Disc, most of which are described in the Demonstration Reference File, including plane mirrors, convex and concave lenses, periscope, diamond model, spherical and chromatic aberration, near-sighted and far-sighted eye, and dispersion by a prism.
  • L6-91: ANAMORPHIC LENS

    L6-91
    Show application of anamorphic lenses to wide-screen movies.

    A frame of a wide-screen movie is projected through a normal lens (far right above) and an anamorphic lens (center) which magnifies the horizontal axis more than the vertical axis. The anamorphic lens is constructed using two cylindrical lenses with different focal lengths. In this demonstration the beam is split after passing through the film. One half of the beam is focused onto the screen by the spherical lens; the other half is focused by the combination of a 20cm cylindrical lens focusing horizontally and a 30cm focal length cylindrical lens focusing verticlally.

    Projectionists apparently call this a " 'scope lens." Such a lens is available (see picture at left above) for individual viewing.

  • L7-02: FOCAL PLANE SHUTTER - CHALKBOARD MODEL

    L7-02
    Illustrate how a focal plane shutter works.

    This model uses the electrically operated blackboards in the physics lecture halls to model a focal plane shutter.

    Move the rear board to its lowest visible position and move the front board out of sight (down). Now start the rear board moving up; this is the shutter opening. Then start the front board up; this is the shutter closing. If you allow the rear board to get to the top before you start the front one, this illustrates how the shutter works at slow shutter speeds. If you start the front board up before the rear one gets to the top you simulate faster shutter speeds. Stop the boards when the entire area is covered. Move them back down together to show how winding works to reset the shutter.

    For obvious reasons, this demonstration is only feasible in the large Physics lecture halls.
  • L7-03: SHUTTER SPEED OF A CAMERA

    L7-03
    Measure the shutter speed of a camera.

    The laser beam is aligned with the photocell in the black aluminum cylinder, which is connected to a timer with large display. The camera is mounted on an optical post with the standard camera thread on one end, and positioned so that the laser beam will reach the photocell when the shutter is open. Reset the counter and cock the camera, and timer will measure the shutter opening time when the "picture is taken." Alignment is simpler if the lens is removed from single lens reflex cameras.

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  • L7-04: DEPTH OF FIELD AND FIELD OF VIEW

    L7-04
    Demonstrate depth of field as a function of aperture setting, and to demonstrate field of view as a function of zoom setting on a TV lens.

    (1) Depth of field: Open the lens aperture with the Fresnel spotlight off, set the camera to full zoom (100), and place the camera at the closest distance at which it is possible to focus on the nearest can. Focus on the middle can, and observe the focusing of the extreme cans (photograph at right). Then turn on the spotlight so that it illuminates all of the cans and close the f-stop so that the lighting level is the same as before. Observe that the depth of field increases, because the increase in light level allows use of a smaller aperture (photograph at left).

    Field of view: Vary the zoom and observe the change in the size of the field of view.

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  • L7-05: VIDEO CAMERA WITH VARIOUS LENSES

    L7-05
    Demonstrate various lenses for a video camera.
    Interchange a standard 45mm lens and a zoom lens on the TV camera to show on the monitor what the optics does. Install one of the five close-up lenses onto the standard lens to view small objects. The above right photograph shows the zoom lens controls. The photographs below show the near point for the standard 45mm lens without and with a supplemental 10cm close-up lens.

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  • L7-06: MINICAM WITH WIDE-ANGLE, TELEPHOTO AND MACROZOOM LENS

    L7-06
    Illustrate the optics of a "modern" minicam.

    Illustrate how the various optical features of the camera work as well as other features of the minicam as desired. Show the picture on the video rear projection screen above the blackboards. Controls for the camera are shown in detail in the photographs below.

    The photograph at the center shows the main focus and shutter controls. At the right are the manual controls for focus and zoom, along with the macrozoom control lever (near bottom of picture). The photograph at the left shows the ON/OFF button for videorecording, the built-in microphone (top), and the rocker switch for telephoto and wide angle adjustment (center of picture).

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  • L7-11: OPTICAL BOARD - ASTRONOMICAL TELESCOPE

    L7-11
    Model the optics of an astronomical telescope.

    A lens at the left (out of picture) produces parallel light, as from a star. The second lens (at left in photograph) is the telescope objective, and the lens at the right is the eyepiece. The parallel beam of rays entering the objective lens is wider than that emerging from the eyepiece, indicating the ability of the telescope to "gather" light. When the position of the "star" is changed (photograph at right) by moving the source up (rays entering the telescope at a downward angle), the image is moved down and the angle at which it is viewed (inverted) is magnified relative to the incoming light, indicating the ability of the telescope to increase the angular separation of the stars it is viewing.

    Choice of slit baffle and distance of baffle from source determine the number of rays and their spacing.

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  • L7-12: OPTICAL BOARD - TELEPHOTO LENS

    L7-12
    Ilustrate the location of the principal planes in a telephoto lens.
    Form a "telephoto lens" from the combination of one double-convex lens and two plano-concave lenses (forming one double concave lens), separated by ten inches center-to-center. By producing parallel rays with the convex lens at the left, one can locate the focus and trace rays back to locate the principal plane. Reverse the "telephoto lens" elements to locate the other principal plane. For comparison with the measurement, the foci and principal planes can be calculated using f(c)=20", f(d)=-20", and t=10". Choice of slit baffle and distance of baffle from the light source determine the number of rays and their spacing.