This preview shows pages 1–2. Sign up to view the full content.
ECE 222B, Winter 2010
Homework Set 3: Due Tuesday, February 2nd.
1. A plane wave in medium 1 is incident on an interface (at z=0) with medium
2 with an angle of incidence
θ
i
. (See Figure 52 in Balanis for the geometry
of the problem). The permittivity and permeability is
ε
1
and
μ
0
in region
1, and
ε
2
and
μ
0
in region 2. Both permittivities are real (ideal media).
The incident wave is
circularly
polarized and the incident electric ﬁeld can
be written as
→
E
i
(
x,z
) =
E
A
(
b
x
0
+
j
b
y
)exp
h

j
→
β
i
·
→
r
i
,
where
E
A
is a constant and
b
x
0
= cos
θ
i
b
x

sin
θ
i
b
z.
If the wave is incident upon the surface at the Brewster angle, what is the
fraction of power transmitted?
2. (15 points) Assume that you are given an idealized plasma such that the
eﬀective permittivity is
²
=
²
0
"
1

ω
2
p
ω
2
#
where
ω
p
is a constant called the plasma frequency. You may assume that
μ
=
μ
0
.
(a) Assume that you are given a TEM wave propagating in the z direction
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.