Follow

Geometrical Optics

  • L3-25: IMAGE LOCATION WITH TV CAMERA - CONCAVE MIRROR

    L3-25
    Locate the image position for a concave mirror.

    Focus the TV camera on the image of its lens created by the concave mirror (or the "X" printed on a paper mounted on the lens). Move the ruler toward the mirror until it is in focus, demonstrating that the image is at that point. The pictures below show the meter stick too close to the camera, at the focus of the camera, and too close to the mirror. The background consists of a large amount of unrelated physics demonstration equipment.

    l3-25a

    l3-25b

    l3-25c

  • L3-26: PENDULUM AND SPHERICAL MIRROR

    L3-26
    Optical illusion using concave mirror.
    A pendulum hangs at the center of curvature of a hemispherical mirror. When the pendulum is pushed so that it moves in circles around the center of curvature, the image also moves in circles around the center of curvature, but on the opposite side of the center of curvature.
    L3
  • L3-31 GIANT 160cm MIRROR - CONCAVE AND CONVEX

    L3-31
    Demonstrates images from concave and convex mirrors
    This five-foot diameter, 132cm (252-inch) radius of curvature parabolic mirror was originally designed as a solar collector on a satellite. Both convex and concave sides can be used with large classes or individually.

    Students can stand in front of the concave side at different distances to find the focal point. Invite students to predict the orientation of the image they see at different points, then try it out.

    FS0
  • L3-32: CYLINDRICAL MIRROR DEMONSTRATOR

    L3-32
    Demonstration of cylindrical concave and convex mirrors.
    This device contains concave and convex cylindrical mirrors as well as a plane mirror. Hold it up and look at the images. Sort of like a mirror fun house, isn't it?

    In small classes, this can be passed around to students. Challenge them to come up with ways to determine the focal length.

    L3

    l3-32a

  • L3-33: VANITY MIRROR

    L3-33
    Show the image produced by a cocave mirror.
    A standard hand-held vanity or shaving mirror, flat on one side, concave on the other. Pass it around for the class to examine, or simply use it to admire yourself.
  • L3-41: ANAMORPHIC ART

    L3-41
    Demonstrate a type of anamorphic art.
    Anamorphic art is art which has been drawn in a highly distorted fashion, but which is seen as normal or undistorted when viewed from a certain point or with the aid of some (normally distorting) optical device, such as a cylindrical or a conical mirror. The above picture, drawn by Larry Geusz, a former student in our introductory optics course for non-science students, is viewed using a conical mirror placed at the center of the drawing. The distorted larger drawing is seen in a "normal" view in the small central circle. Notice that the picture is drawn "inside out," so the entire outer circle corresponds to the center point in the reflected image. It is best viewed with one eye on the axis of the cone and the other eye closed.

    l3-41a

    anamorph1

    anamorph2

    anamorph2a

     

  • L3-42: CHAOS - FOUR REFLECTING SPHERES

    L3-42
    Demonstrate the mathematical concept of chaos using the complex multiple reflections off four spheres.
    Four large shiny spheres - the type used as English garden gazing spheres - are placed together as shown in the photograph at the left above. Complex multiple reflections illustrate the behavior of fractals, as seen in the close-up photograph at the right. This apparatus may be in residence in a departmental showcase, in which case a smaller version will be delivered, one using Christmas balls.

    l3-42a

  • L4-01 OPTICAL BOARD - RECTANGULAR SLAB

    L4-01
    Demonstrates refraction. Shows displacement of rays in a uniform slab of glass
    A slit baffle with concave and convex mirrors are used to produce a beam of parallel rays of light. A rectangular slab of lucite placed at an angle in the rays of light produces refraction at each surface, leading to displacement of the light rays. The central ray in the picture is reflected internally off the end surface of the slab and directed upward.
    FS0
  • L4-02 REFRACTION - BEER MUG IN WATER

    L4-02
    Illustrates refraction
    Due to refraction of the light at the walls of the mug, the mug looks like it has very thin walls and is really filled with liquid. When the mug is placed into water, as in the photograph, the real situation becomes apparent: the mug has very thick glass walls, and holds much less liquid than you think
  • L4-03 REFRACTION - ROD IN WATER

    L4-03
    Demonstrates refraction
    The rod, inserted into the water tank and viewed from an angle, shows a discontinuity at the surface of the water. Insert the other end of the rod at an angle into the water; the rod looks bent when viewed at an angle.

    Invite different students to view the tank from different angles and draw what the rod looks like. Have them compare their experiences and discuss.

    L4
  • L4-04: REFRACTION - CAN IN WATER TANK

    L4-04
    Illustrate refraction
    The can rests halfway into a water bath. Viewed at an angle, the can appears discontinuous at the water surface. The wimps who can't explain the neat picture at the left can go with the more classic view at the right.
    L4

    l4-04a

  • L4-05: REFRACTION IN FISH TANK - PORTABLE

    L4-05
    To illustrate refraction.
    Due to refraction, the single fish hanging in the corner of the tank, appears to be one, two, or three fish (as in the photograph), depending on the surface(s) through which it is viewed.

    l4-05

  • L4-06 REFRACTION IN CLOUDY WATER

    L4-06
    Demonstrates a light ray bends when it enters a different medium at an oblique angle.
    The ray from the laser refracts when entering the surface of the cloudy water. The path of the laser beam in the water may be rendered more visible by adding a touch of powdered creamer to the water.
  • L4-21: SNELL'S LAW - IMAGE DISTORTION

    L4-21
    To illustrate a paradox involving Snell's law.

    The rays refracting in the horizontal and the vertical planes bend differently when exiting the dish, causing the ball bearing to become distorted when viewed through the top surface of the water.

    It apparently is a non-trivial problem to show that the image produced by a horizontal fan of rays is not at the same location as that produced by the more easily handled vertical fan of rays.

    L4
  • L4-22: MIRAGE - LASER AND HOT WIRE

    L4-22
    Demonstrate how an optical mirage is created

    A laser beam is spread into a horizontal line by a cylindrical lens, and passes over a current-carrying wire aligned along the original laser beam. The hot wire causes the air to have a very strong decreasing temperature gradient a long the central section of the laser light line, so that section bends upward. The bent laser line is displayed on the wall or screen across a long distance (perhaps the width of the room), as seen below.

    Upward bending of blue light from the sky as it propagates along sun-heated sand in the desert causes blue light to appear to be coming from the ground, creating the classic illusion of a lake in the desert.

    L4, FS1, PS1
  • L4-23 BENDING OF LASER BEAM IN SUGAR SOLUTION

    L4-23
    Demonstrates a medium with a continually varying index of refraction
    Placing sugar along the bottom of a long, narrow water tank, as the sugar dissolves it creates an index of refraction gradient with the greater index of refraction nearer the bottom of the tank. A laser beam bends continuously in the sugar solution and reflects off the bottom of the tank, as shown in the photograph. Observation of the path of the laser beam is enhanced by adding a pinch of powdered coffee creamer.

    Geometrical Optics

  • L4-31 DISAPPEARANCE OF GLASS IN LIQUID

    L4-31
    Demonstrates how index of refraction affects what wesee in a fluid bath
    Glass seems to disappear when immersed in a liquid with the same index of refraction. The bottles, left to right, contain air, water, and two with microscope immersion oil, a liquid with almost the same index of refraction as glass. In the immersion oil, the glass shaft is almost invisible! An air bubble moving up and down in the shaft takes on an odd appearance, as it will be constrained by the shaft but will appear to be moving in free space.

    A video camera is optionally available to make this more visible in large lecture halls.

    L4
  • L4-41: MICROWAVES - REFRACTION BY PRISM

    L4-41
    Demonstrate refraction of microwaves by a paraffin prism.
    The wax prism bends the microwave beam as it enters or exits the prism. The path of the microwave beam is similar to that of a light beam passing through a glass prism.

    l4-41a

  • L4-42: MICROWAVES - INDEX OF REFRACTION

    L4-42
    Determine the index of refraction of paraffin for microwaves.

    By measuring the minimum angle of deviation a for a microwave beam passing through an equilateral paraffin prism, the index of refraction N can be calculated:

    N = 2 sin ( 30 degrees + a / 2 ).

  • L5-01: OPTICAL BOARD - TOTAL INTERNAL REFLECTION

    L5-01
    Demonstrate total internal reflection and the critical angle.

    Rotate the semicircular slab of plexiglass with the light ray entering and exiting through the curved surface. Starting with the ray incident nearly perpendicular to the flat internal surface, rotate the semicircular slab until the critical point is reached and total internal reflection is obtained. Reflection at entrance can be avoided by having the light enter perpendicular to the surface. A single slit baffle and convex lens are used to produce a narrow ray of light.

    The Brewster angle can also be demonstrated by rotating the semicircular slab so that the transmitted refracted ray and the internally reflected ray are perpendicular. See Demonstration M7-11: OPTICAL BOARD - BREWSTER'S ANGLE.

    FS0

    l5-01a

    l5-01b