Department of Electrical and
Computer Engineering
ECSE 352 Electromagnetic Waves and Optics
6 Special cases of wave reflection
3.6 Special cases of wave reflection
References: Section 13.6
AGK 2005
3.61
Overview
In the previous class we derived the Fresnel
equations that relate transmission and reflection to
the angle of incidence and the wave polarization. In
this class we will seek conditions where we can have
either
totalreflection
or
total transmission
. As we
will see, there are several important applications of
hese conditions
these conditions.
©AGK 2005
ECSE 352 3.62
Learning outcomes
After taking this class you should be able to:
• Explain what is meant by total internal reflection
• Calculate the conditions for total internal
eflection
reflection
• Explain what is meant by total transmission and
Brewster’s angle
• Calculate the conditions for total transmission
• State applications for total internal reflection and
Brewster’s angle.
©AGK 2005
ECSE 352 3.63
Contents
• Conditions for total internal reflection
– Applications
• Conditions for total transmission
ppli
ti ns
– Applications
©AGK 2005
ECSE 352 3.64
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View Full DocumentReview: Fresnel coefficients
• Equations that relate reflected and refracted amplitudes to
he incident field amplitude
the incident field amplitude
ppolarization:
spolarization:
η
1
η
1
θ
1
θ
r
10
22
11
cos
cos
E
η
θη θ
−
−
= Γ
=
10
21
12
cos
cos
E
−
−
= Γ =
η
2
η
2
θ
2
10
2
2
1
1
cos
cos
p
E
+
Γ
+
c
o
s
10
2
1
1
2
cos
cos
s
E
+
Γ
+
c
o
s
20
10
2
2
1
1
2c
cos
cos
p
E
E
ηθ
τ
+
==
+
20
10
2
1
1
2
cos
cos
s
E
E
+
+
©AGK 2005
ECSE 352 3.65
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 Spring '10
 mi
 Snell's Law, Total internal reflection, Geometrical optics, Fresnel equations, Brewster angle

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