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Geometrical Optics

  • L5-02: TOTAL INTERNAL REFLECTION IN LONG TANK

    L5-02
    Demonstrate total internal reflection of a laser light.
    The laser light enters the end of the water tank and undergoes a series of internal reflections from the top surface of the water and the bottom of the tank.
    L5, LS1
  • L5-03: FISH IN TANK - TOTAL INTERNAL REFLECTION

    L5-03
    Illustrate total internal reflection.
    The fish is seen once directly through the side. Other views are reflected off the back of the tank, reflected off the water surface, and reflected off both the water surface and the back of the tank. To see this view the tank must be observed from below and at an angle, as shown in the photograph at the right.
  • L5-04: MICROWAVES - TOTAL INTERNAL REFLECTION

    L5-04
    Demonstrate total internal reflection of microwaves in a paraffin prism.
    The microwave beam enters the paraffin 90 degree prism normal to one short surface, reflects internally off the longer surface, and exits normal to the second short surface. Rotate the prism to maximize the internally reflected beam. Removing the paraffin block removes the beam from the receiver, which can then be positioned directly in front of the transmitter to get the beam back.

    l5-04a

  • L5-05: IMAGE INVERSION BY PRISM

    L5-05
    Demonstrate that a right angle prism can invert an image.

    An arrow/circle object is placed in front of a bright light source, and this object is focused onto a distant screen by a 20cm convex lens, as seen in the photograph at the left. Inserting the prism inverts the image IN THE VERTICAL DIRECTION ONLY, as seen in the photograph at the center. Note that a pentaprism is used to invert the image in both directions simultaneously.

    The optical arrangement is shown in the photograph at the right.

    This technique is sometimes used in optical instruments.

    l5-05

    l5-05a

     

  • L5-11 LASER WATERFALL

    L5-11
    Demonstrates total internal reflection of a laser beam in a water jet

    A clear plastic tank with a plugged spout is elevated above a second, shallower tank. The upper tank is filled with water. A laser is aligned so that it passes through the upper tank and is centered on the spout.

    When the spout is unplugged, the water streams out into the lower tank. Several internal reflections of the laser beam should be visible in the outgoing stream of water, down to the point where it becomes too turbulent to see clearly.

    As the water level in the tank drops, the water flow becomes so slow that the stream bends too sharply and there is no internal reflection, and the laser beam ceases to follow the flow of water.

    Background:

    The laser here is illustrating internal reflection: depending on the index of refraction of the water and the angle the light hits it at, more light can be reflected back and forth within the stream of water than passes through it. At a certain point, it exhibits total internal reflection, where essentially all of the light is traveling along the stream rather than heading straight out the side.

    This demonstration can beneficially be used in combination with demonstrations of fibreoptic technology such as L5-13 or L5-23.

    OS2, LS1
  • L5-12 PLEXIGLASS SPIRAL

    L5-12
    Demonstrates total internal reflection
    Due to total internal reflection the light from the lamp remains mostly confined within the spiral plexiglass rod, and only exits at the end, where the angle between the surface and the incoming light exceeds the critical angle
  • L5-13: PLEXIGLASS SPIRAL WITH LASER

    L5-13
    Demonstrate total internal reflection with laser light.
    Due to total internal reflection the light from the laser remains mostly confined within the spiral plexiglass rod, and only exits at the end, where the angle between the surface and the incoming light exceeds the critical angle. Actually, some light escapes at scratches along the spiral, as can be seen in the photograph.
    L5, OM1
  • L5-14: LASER AND PLEXIGLASS TUBE

    L5-14
    Demonstrates total internal reflection
    The laser beam enters the plastic tube at a cutout along the top edge, and follows around the tube while spiralling downward
  • L5-21: FIBER OPTICS ARRAY

    L5-21
    Demonstrate fiber optics in an exciting way.
    One end of a fiber optics bundle is placed against a printed card in front of a light bulb and the other end viewed by the TV camera. PHYSICS IS PHUN can be clearly read, if not believed by the students. The photograph at the right shows the setup.

    l5-21a

  • L5-22: FIBER OPTICS ARRAY - PROJECTION

    L5-22
    Demonstrate fiber optics in an interesting way.
    One end of a fiber optics bundle is placed against a slide, and the other end is projected on a screen using a movie projector lens. The subject in the photograph above is two characters in a "BC" cartoon, but the low fiber resolution makes it difficult to identify.

    l5-22a

  • L5-23 FIBER OPTICS TREE

    L5-23
    Demonstrates total internal reflection
    An array of optical fibers is mounted above a light source with coloured filters. The light is guided along the fibers by total internal reflection, creating an attractive display.
    L5

    Geometrical Optics

  • L5-24: FIBER OPTICS COMMUNICATION LINE

    L5-24
    Demonstrate transmission of laser light by a real fiber optics communication line.

    One end of the fiber optics strand is held pointed into a laser beam, and the other end held by a student who is free to move about. The light emerging out the other end can easily be seen over the entire lecture hall, even when some of the cable is coiled up.

    Sections of fiber optics cable are used which were left over from the installation of fiber optics cabling in underground conduits all over the University of Maryland campus. These cables are now being used for both data and video transmission. The fiber optics strands below have adapters so that they can be plugged into an optical source directly.

    l5-24

    l5-24a

    l5-24b

  • L5-31: FRUSTRATED TOTAL INTERNAL REFLECTION - PRISM AND LENS

    L5-31
    Demonstrate the existence of the evanescent (boundary) wave in the less dense medium, when the incident wave suffers total internal reflection.

    Electromagnetic boundary conditions across a totally reflecting surface lead to a wave that dies off exponentially (within a few wavelengths) beyond the surface, but does not carry energy across it. However, this wave can be transmitted if it is made to interact with dense matter sufficiently close to the surface. The demonstration shows the hypotenuse face of a right angle prism acting like a perfect mirror, except for a spot around the point of contact with the lens. If the angle of incidence (on the hypotenuse) is close to the critical angle (42 degrees), a set of Newton's rings appear around the "spot." These can be used to measure the distance of penetration.

    Close one eye. Let the reflected light come from a light area, the transmitted light from a darker area, or vice-versa.

  • L5-32: FRUSTRATED TOTAL INTERNAL REFLECTION - TWO PRISMS

    L5-32
    Demonstrate the existence of the evanescent (boundary) wave in the less dense medium, when the incident wave suffers total internal reflection.

    Electromagnetic boundary conditions across a totally reflecting surface lead to a wave that dies off exponentially (within a few wavelengths) beyond the surface, but does not carry energy across it. However, this wave can be transmitted if it is made to interact with dense matter sufficiently close to the surface. The demonstration shows the hypotenuse face of a right angle prism acting like a perfect mirror, except for a spot around the point of contact with a second prism. If the angle of incidence (on the hypotenuse) is close to the critical angle (42 degrees), a bright spot will appear where the two prisms close to within a few wavelengths, allowing the wave to tunnel through.

    The spot can easily be seen on the overhead projector.

  • L5-33: FRUSTRATED TOTAL INTERNAL REFLECTION - TWO PRISMS AND LASER

    L5-33
    Demonstrate the existence of the evanescent (boundary) wave in the less dense medium, when the incident wave suffers total internal reflection.

    Electromagnetic boundary conditions across a totally reflecting surface lead to a wave that dies off exponentially (within a few wavelengths) beyond the surface, but does not carry energy across it. However, this wave can be transmitted if it is made to interact with dense matter sufficiently close to the surface. The demonstration shows the hypotenuse face of a right angle prism acting like a perfect mirror (light internally reflected upward onto screen), except for a spot around the point of contact with a second prism. If the angle of incidence (on the hypotenuse) is close to the critical angle (42 degrees), a bright spot will appear where the two prisms close to within a few wavelengths, allowing the wave to tunnel through.

    The spot can easily be seen on the white screen.

  • L5-34: FRUSTRATED TOTAL INTERNAL REFLECTION - MICROWAVES

    L5-34
    Demonstrate frustrated total internal reflection using microwaves.

    A beam of 12cm microwaves reflects internally on the hypotenuse of a right angle paraffin prism. Bringing the hypotenuse of a second identical paraffin prism within a few cm of the first prism allows the wave to be transmitted straight through the two prisms.

    The microwave sensing antenna can be located at the position of the internally reflected ray to show that this ray disappears when the second prism is moved close. Alternatively, the antenna can be located in the straight through direction to show that waves continue in a straight line when frustrated total internal reflection occurs, as shown in the photograph at the right above.

    Note that with a single prism the evanescent wave extends a few wavelengths beyond the surface of the prism. The intensity of the microwaves decreases exponentially, so they are easily observed up to about 50cm from the exit surface of the prism.

     

    l5-34a

  • L6-01: OPTICAL BOARD - CONVERGING SPHERICAL LENS

    L6-01
    Show focusing of a spherical (cylindrical) convex lens.
    Parallel rays incident on an 18 inch long convex cylindrical lens converge at the focal point of the lens. For a large aperture the spherical aberration is clearly seen, and chromatic aberration can be seen by blocking part of an extreme ray. Number of slits, and their color and spacing, can be changed by choice of slit baffle and distance of baffle from source.
  • L6-02: OPTICAL BOARD - CIRCULAR SLAB

    L6-02
    Show focusing of a circular lens.
    Parallel rays incident on a 12 inch diameter circular plastic disc converge at the focal point. Spherical aberration is clearly seen. Number of slits and their spacing can be changed by choice of slit baffle and distance of baffle from source. This cylinder can also be used to produce a nice rainbow; see Demonstration N1-44: RAINBOW - OPTICAL BOARD.
  • L6-03: OPTICAL BOARD - HYPERBOLIC LENS

    L6-03
    Show focusing of a hyperbolic lens.
    The shapes of the surfaces of a lens which exactly focuses a point object to a point image are hyperbolas. Parallel rays incident on an 18 inch long spherical lens converge at the focal point, but have lots of spherical aberration, as seen in the photograph at the left. A hyperbolic lens is virtually free from spherical aberration, as seen in the photograph at the right. Chromatic aberration is still present, as can be seen by blocking off part of one of the extreme rays. Number of slits and their spacing can be changed by choice of slit baffle and distance of baffle from source.

    l6-03a

  • L6-04: OPTICAL BOARD - RAY DIAGRAM - REAL IMAGE POS LENS

    L6-04
    Use principal rays to locate a real image produced by a convex lens.
    The central ray passing through a half-silvered mirror serves as the optic axis, and the vertical ray between the two mirrors serves as the object arrow. By rotating the mirror at the tip of the arrow the three principal rays (or other rays) can be produced, all of which intersect at the image point (arrow tip). The focal points of the lens, about 17" (43cm) from the lens surface, can be indicated using squares of masking tape or black tape. A single converging lens in front of the object is used to keep the ray narrow. The object must be close to the left side of the optical board to keep the image (inverted arrow at far right) on the board.

    l6-04a

    l6-04b