A 5.0-cm-thick transparent sheet has been manufactured as a composite of 5 different transparent material layers of equal thickness. The material layers are numbered 1 through 5 from top to bottom and possess the following optical characteristics:
Material Number
Refractive Index (n)
1
2
3
4
5
1.50
1.66
2.00
2.20
2.00
Coherent (constant wavelength and frequency) light beams are directed towards the composite sheet from a laser. Given that the index of refraction of air is 1.00,
1. Construct a schematic profile illustrating the layering of the
composite sheet.
2. Construct ray-path diagrams illustrating the expected parthway of
the coherent light beam when directed at the following angles
to the normal to the surface of layer 1:
10 degrees
20 degrees
30 degrees
45 degrees
60 degrees
3. Based on your ray-path diagram and your knowledge of refraction,
at which of the given angular orientations should we observe
a. total internal reflection,
b. total refraction with the light ray exiting through the side of the
composite, and
c. total refraction with the light ray exiting through the bottom of
