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A multilayer transparent block is made of a layer of cubic zirconium, CZ, (n=2.18) attached to...

A multilayer transparent block is made of a layer of cubic zirconium, CZ, (n=2.18) attached to a
layer of quartz (n=1.54). The block is in air. Laser light enters the block from the CZ side with
an incident angle of 27 degrees. The light exits the bottom of the block going from quartz into
air.
a. Sketch the block in air with a ray diagram of the path of the light from air, into cubic
zirconium, into quartz and out the far side into air. Angles don’t have to be exact but they must
show if refracted angles are larger or smaller than incident angles.
b. At what boundary(ies) could total internal reflection occur? Calculate the critical angle(s).
c. What is the angle of refraction at the air-cubic zirconium boundary?
d. What is the incident angle of the light at the CZ-quartz boundary? What is the refracted angle as
the light crosses this boundary?
e. What is the refracted angle of the light as it enters air from the quartz?

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