Monday 3 June 2013

Bridge Light - A thin layer of air trapped between two pieces of Plexiglas™ produces rainbow-colored interference patterns




   
Bridge Light
 
A thin layer of air trapped between two pieces of Plexiglas™ produces rainbow-colored interference patterns
When light hits two slightly separated transparent surfaces, part of the light will be reflected from each surface. If the distance between the surfaces is a multiple of half or whole wavelengths of the light, constructive and destructive interference will occur, producing an interference pattern. 
 
  • 2 sheets of Plexiglas™, 1/4 or 1/8 inch (.64 or .33 cm) thick and approximately 1 foot (30 cm) square. (Size is not critical.)
  • 1 piece of dark construction paper
  • One 3 x 5 inch (8 x 13 cm) piece of transparent red plastic
  • Electrical or duct tape
  • A light source, such as a desk lamp
 
(15 minutes or less)

Peel the paper from the Plexiglas™ and smooth off all edges with sandpaper if necessary. Be careful not to scratch the surfaces. Clean the top and bottom surfaces with alcohol and a soft cloth. Press the plates tightly together and tape around the edges to hold them in place. Tape a sheet of dark construction paper to one plate to make the interference patterns more visible. 
 
(15 minutes or more)

Hold the plates, with the dark-paper side on the bottom, in any strong source of white light. Observe the rainbow-colored interference patterns. The patterns will change as you bend, twist, or press on the plates. Notice that the patterns strongly resemble the contour lines on a topographic map.
Place the red plastic between the light source and the plates. Notice that the patterns are now just red and black. 
 

Light waves reflect from the surfaces of two plastic sheets separated by a thin air gap. These light waves meet after reflecting from the two surfaces. When two waves meet, they can add together, cancel each other, or partially cancel each other. This adding and canceling of light waves, called constructive interference and destructive interference, creates the rainbow-colored patterns that you see.

White light is made up of all different colors mixed together. When light waves of a particular color meet and cancel each other, that color is subtracted from white light. For example, if the blue light waves cancel, you see what is left of white light after the blue has been removed--yellow (the complementary color of blue).

The thickness of the gap between the plates determines which colors of light cancel out at any one point. For example, if the separation of the plates is roughly equal to one-half the wavelength of blue light (or some multiple of it), the crests of waves of blue light reflected from the top surface of the air gap will match up with the troughs of waves reflected from the bottom surface, causing the blue light to cancel out.

This is what happens: Imagine that the distance between the two plates is one-half the wavelength of blue light. When a wave hits the top of the air layer, part reflects and part continues on. Compared to the part that reflects from the top of the air layer, the part that continues on and reflects from the bottom travels an extra wavelength through the air layer (half a wavelength down and half a wavelength back). In addition, the wave that reflects from the bottom is inverted. The net effect is that the blue light waves reflected from the two surfaces recombine trough-to-peak, and cancel each other out.

Because the interference pattern depends on the amount of separation between the plates, what you're actually seeing is a topographical map of the distance between plates.
When you place a red filter in front of the light source, only red and black fringes will appear. Where destructive interference takes place, there is no red light left to reach your eyes, so you see black. Where the waves constructively interfere, you see red.

If you can find a sodium-vapor lamp (a yellow street lamp, for example), try placing the plates under its light. The sodium vapor gives off sodium's predominant fingerprint: a very pure yellow light.

The beautiful rainbow colors you see in soap bubbles and on pieces of metal heated to high temperatures are produced in the same way: by light reflecting from the top and bottom of a thin transparent layer.


When you open a package of new, clean microscope slides, you can often see colored interference patterns created by the thin air space between the glass slides

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