Information Technology Reference
In-Depth Information
By substituting (5.29) in (5.27) and (5.28
c
) we get the impedance relations
E
x
=
Z
xx
H
x
+
Z
xy
H
y
,
(5
.
30)
E
y
=
Z
yx
H
x
+
Z
yy
H
y
,
where
E
(1)
x
H
(2)
y
E
(2)
x
H
(1)
y
E
(2)
x
H
(1)
x
E
(1)
x
H
(2)
x
−
−
Z
xx
=
H
(2
x
,
Z
xy
=
H
(2
x
,
H
(1)
H
(2)
H
(1)
H
(1)
H
(2)
H
(1)
−
−
x
y
y
x
y
y
(5
.
31)
E
(1)
y
H
(2)
y
E
(2)
y
H
(1)
y
E
(2)
y
H
(1)
x
E
(1)
y
H
(2)
x
−
−
Z
yx
=
H
(2
x
,
Z
yy
=
H
(2
x
,
H
(1)
H
(2)
H
(1)
H
(1)
H
(2)
H
(1)
−
−
x
y
y
x
y
y
and the Wiese-Parkinson relation
H
z
=
W
zx
H
x
+
W
zy
H
y
,
(5
.
32)
where
H
(1)
z
H
(2)
y
H
(2)
z
H
(1)
y
H
(2)
z
H
(1)
x
H
(1)
z
H
(2)
x
−
−
W
zx
=
H
(2
x
,
W
zx
=
.
.
W
zy
(5
33)
H
(1)
H
(2)
H
(1)
H
(1)
H
(2)
H
(1)
H
(2)
−
−
x
y
y
x
y
y
x
5.1.3 The Source Effect
Now we have to find out how these determinations change due to the source effect
that generates the normal field with the vertical magnetic component. Considering
all three modes of the normal field (two plane-wave modes and the source-effect
mode), we get
E
(
m
)
E
N(
m
)
E
A(
m
)
=
+
,
(5
.
34)
H
(
m
)
H
N(
m
)
H
A(
m
)
=
+
,
m
=
1
,
2
,
3
.
The total field on the Earth's surface is
H
x
o
E
(1)
H
y
o
E
(2)
H
z
o
E
(3)
=
+
+
,
E
(5
.
35)
H
x
o
H
(1)
H
y
o
H
(2)
H
z
o
H
(3)
H
=
+
+
,
