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58. (a) We refer to the entry point for the original incident ray as point
A
(which we take to be on the left
side of the prism, as in Fig. 3449), the prism vertex as point
B
, and the point where the interior
ray strikes the right surface of the prism as point
C
. The angle between line
AB
and the interior ray
is
β
(the complement of the angle of refraction at the ±rst surface), and the angle between the line
BC
and the interior ray is
α
(the complement of its angle of incidence when it strikes the second
surface). When the incident ray is at the minimum angle for which light is able to exit the prism,
the light exits along the second face. That is, the angle of refraction at the second face is 90
◦
,and
the angle of incidence there for the interior ray is the critical angle for total internal reﬂection. Let
θ
1
be the angle of incidence for the original incident ray and
θ
2
be the angle of refraction at the
±rst face, and let
θ
3
be the angle of incidence at the second face. The law of refraction, applied
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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