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by which the ray turns (comparing the direction of propagation before and after the
reflection) is
δθ
θ
2
180
2
=°
−
r
. The final contribution is the refraction suffered by the ray
upon leaving the sphere:
3
=
−
ir
again. Therefore,
dev
1
2
3
180
2
4 .
=++=°
+−
(b) We substitute
θθ
r
n
i
=
−
sin ( sin
)
1
1
into the expression derived in part (a), using the two
given values for
n
. The higher curve is for the blue light.
(c) We can expand the graph and try to estimate the minimum, or search for it with a
more sophisticated numerical procedure. We find that the
dev
minimum for red light is
137.63°
≈
137.6°, and this occurs at
i
= 59.52°.
(d) For blue light, we find that the
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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