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Geometrical Optics

  • L2-03: MICROWAVES - REFLECTION

    L2-03
    Demonstrate that microwaves undergo specular reflection.
    Position the source, reflector, and receiver such that the reflected intensity is maximized. Rotation of the reflector or moving the transmitter or receiver perpendicular to the central ray of the microwave beam will reduce the intensity by making the angles of incidence and reflection unequal.

    l2-03a

  • L2-04: VIRTUAL IMAGE DETECTOR - PLANE MIRROR

    L2-04
    Show the nature of a virtual image.
    This is a large-scale demonstration of a virtual image created by a plane mirror. The object and image are lab stands positioned at equal distances in front of and behind the mirror. It can be shown that the virtual image formed by the mirror lines up with the second, physical stand - the image is in the same location, as far behind the mirror as the real stand is in front of it.

    Alternatively, a single stand can be placed in front of the mirror, and strings attached to nails along the top. Invite student volunteers to stretch out the strings as rays that converge at the location of the image. Then show that the you can put the second stand at the point where the strings meet and it lines up with the image.

    L2, OS11

    geo

  • L2-05 PERVERTED IMAGE - AXES IN MIRROR

    L2-05
    Investigation of the nature of images from a plane mirror
    A plane mirror with three small coordinate axes, one left-handed and two right-handed. Position one right-handed coordinate system in front of the mirror and ask a student to line up the second right-handed coordinate system so that it looks like the image in the mirror. It will quickly be seen to be impossible. Try again with the left-handed coordinate system. That this can be done indicates that the mirror inverts one of the axes, but which one? Everyone agrees that the mirror does not invert top-to-bottom. Stand in front of the mirror and wiggle your right hand; the hand on the same side wiggles in the mirror, indicating no left-to-right inversion!
    L2, OS6
  • L2-06 MAGIC TRICK - DISAPPEARING RABBIT

    L2-06
    Plane-mirror magic trick


    A box has been divided diagonally by a flat mirror. A hatch in the top lets a toy rabbit be dropped in to the space behind the mirror.
    Engagement Suggestion
    • • The box is first shown to the group. Then the black cloth is placed over the front of the box, the trap door on top of the box opened, and the rabbit put into the box through the trap door.
    • • Invite students to predict what they will see when the cloth is removed.
    • • When the black cloth is removed the rabbit has vanished into thin air (behind the mirror).
    • • Challenge then to analyze how this has happened
    • • Explain the positioning of the mirror, and invite them to consider what it would look like with the mirror at different angles.
    Background
    Because the mirror is mounted at a 45 degree angle, it reflects the bottom of the box to look like the rear of the box. So viewed from the front, the box appears empty. This is a common technique for creating such illusions.
    L2
  • L2-07: PERVERTED IMAGE - LIGHT

    L2-07
    Demonstrate that a plane mirror does not produce a left-to-right inversion.
    A transparency with the word LIGHT in box letters is held in front of a plane mirror. Q: How will the image appear in the in the mirror: (a) inverted up-down, (b) inverted left-right, (c) inverted front-back, or (d) not inverted at all.
    L2

    l2-07a

  • L2-21: OPTICAL BOARD - HALF-SILVERED MIRROR

    L2-21
    Illustrate a half-silvered mirror.

    The optical board is set up with a mutli-slit baffle, a collimating lens, and a partially silvered mirror. Light from the point source passes through a slit baffle and is collimated into a series of parallel rays by a convex lens. When the rays hit the partially-silvered mirror, some of the light is reflected and some passes through the mirror.
    Background
    This effect of partial reflection is often used as a bean splitter, splitting a single beam of light to follow two different paths. In this application, it may be used as a part of an interferometer, which measures very small changes in distance by looking at how the two light waves go in and out of phase with each other.
  • L2-22: INFINITY MIRROR

    L2-22
    Illusion with half-silvered mirror.

    A single square array of small lights has a full-silvered mirror in back and a half-silvered mirror in front. A long black box placed in back of the infinity mirror appears to have many rows of lights in it until it is removed!

    An interesting sidelight is to use this device to indicate the dynamic range of the eye. Each successive row of lights has an intensity of about 1/2. Approximately twenty rows of lights can be seen by the typical naked eye, so the dynamic range of the eye is at least as great as 2^20, or 1,048,576 to 1.

    L2, FS1

    l2-22a

  • L2-23: MIRROR BOX

    L2-23
    Use a half-silvered mirror in a weird way.

    The large box has holes in each end for people to insert their heads, and a half-silvered mirror in the middle. A special variac has been wired so that when the knob is turned lights in each end of the box change intensity with one getting brighter while the other gets dimmer, and vice versa. Each viewer will see a metamorphosis of his or her face to that of the person on the other side. This device was made by an art student as a class project and donated to the Lecture-Demonstration Facility.

    A second hole in one end allows the action to be viewed by a video camera and displayed for the entire class, as seen in the photographs below.

    eogl2-23al2-23b

    l2-23c

  • L2-24: PARTIALLY SILVERED CYLINDER

    L2-24
    Demonstrate Partially Silvered Surfaces
    A small clear light bulb is placed in a plastic cylinder which is covered with a half-silvered aluminized mylar sheet. When the light is off, the outside is brighter and the light bulb cannot be seen. When the light is on, the glowing filament can easily be seen through the aluminized mylar.
    L2
  • L2-25: LIGHT BULB IN WATER

    L2-25
    Do a magic trick using partially reflected light.
    Light from a light bulb located in the front (enclosed) part of the box is reflected off a glass plate such that the reflection (and thus the lit bulb) appears to be in a beaker of water.
  • L2-26: HALF-SILVERED MIRROR - RAT IN TUBE

    L2-26
    Illustrate use of a half-silvered mirror.
    A stuffed rat is placed at the end of a long tube which is lit from the other end. If one tries to look for the rat directly, one's head gets in the way of the light source or the light source blocks one's view. By placing a half-silvered mirror diagonally at the entrance to the tube, one can view the rat with a TV camera perpendicular to the axis of the tube. This idea has commercial applications, such as the teleprompter placed in front of a TV camera..
  • L2-27: Infinity Mirror - Portable

    L2-27
    Illusion with half-silvered mirror.

    This is a smaller, more easily portable version of demonstration L2-22, suitable for use in small classrooms. A ring of lights is repeatedly reflected by a rear mirror and a partially silvered front window, creating the illusion of lights vanishing into the distance.

    L2

    L2-27: mirror device illuminated on table, showing shallow housing for lights behind mirrored face

  • L2-41: OPTICAL BOARD - CORNER REFLECTOR

    L2-41
    Show how a corner reflector works in two dimensions.

    A ray of light strikes the two surfaces of the corner reflector and returns antiparallel to the original light ray. For a three-dimensional corner reflector the outgoing light ray also leaves antiparallel to the incoming light ray. The lens keeps the ray narrow.

    A set of three rays of different colors can also be used with this two-dimensional corner reflector to show that the rays return inverted with respect to their initial orientation.

  • L2-42: CORNER REFLECTOR - MIRROR TILES

    L2-42
    Show what a corner reflector does
    Close one eye and look into the corner reflector. Because the corner reflector reflects light directly back where it came from, you will see your eye inverted in the center of the corner reflector. You can also use a laser with this corner reflector and trace rays with chalk dust.
    L2
  • L2-43: CORNER REFLECTOR - ROTATING

    L2-43
    Show that the reflected ray from a corner reflector is parallel to the incoming ray.
    A corner reflector mounted on a rotator is positioned in a laser beam. As the corner reflector rotates the beam moves around on the white screen through which the beam from the laser emerges.
  • L2-44: CORNER REFLECTOR - HAND HELD

    L2-44
    Demonstrate dramatically how a corner reflector works.

    The laser is mounted on a stand with the beam coming out a hole in the white baffle, and aimed across the room or to the rear of the lecture hall. Hold the corner reflector in the beam and the reflected beam will return to be easily seen on the white card. Rotate the corner reflector and change its angle, showing that the beam still returns to the card. The specular reflection of the laser beam off the front surface of the glass will also be seen moving around the room.

    Background:

    This mirror element is of the type used to construct the reflector for the lunar ranging experiment, you can read more at TERP: Mirrors on the Moon and Big Think: We Use Lasers To Keep Track Of The Moon.

    L2, FS1

    l2-44

  • L2-45: MICROWAVES - CORNER REFLECTOR

    L2-45
    A two-dimensional microwave corner reflector.
    The corner reflector reflects the microwaves back to their point of origin, as does a two-dimensional optical corner reflector.
    K8
  • L2-46: CORNER REFLECTOR - MODELS

    L2-46
    Model how the rays reflect in a corner reflector.
    Two models are available showing how rays reflect in a three-dimensional corner reflector. In case anyone else has one, it looks like we're collecting them.
  • L2-61: MIRROR TILES WITH LIGHT BULB

    L2-61
    Show multiple reflections using two mirrors
    Two hinged mirror tiles are positioned at an acute angle with a single light bulb between them. The succession of images makes it appear that there are many more bulbs, with the exact number dependent on the angle between the two mirror tiles.

    geo

  • L2-62: MULTIPLE REFLECTIONS WITH MIRROR TILES

    L2-62
    Show multiple reflections in a three-dimensional system of mirrors.
    A corner reflector is formed using three orthogonal mirror tiles.