Information Technology Reference
In-Depth Information
Fig. 7.16
The three-segment
model
f
are the same as in (7.62), and
Z
N
,
Z
N
are normal
impedances for the side segments and the central segment.
Solutions of these equations are
where notations
g
,
f
and
g
,
⎧
⎨
Z
N
Ae
−
g
|
y
|
/
f
+
|
y
| ≥
v
Z
⊥
(
y
)
=
(7
.
74)
B
cos h
g
f
⎩
Z
N
+
y
|
y
| ≤
v.
The coefficients
A
and
B
are determined by satisfying conditions (7.64) at the
edges of the central segment,
|
|
=
v
y
. Thus, we obtain
⎧
⎨
⎡
⎤
⎣
2
2
⎦
1
−
Z
N
e
−
g
(
|
y
|−
v
)
/
f
1
−
|
y
| ≥
v
cot h
g
+
f
v
Z
⊥
(
y
)
⎡
⎤
=
⎩
⎣
2
2
cos h
g
f
⎦
1
−
Z
N
1
+
y
|
y
| ≤
v,
sin h
g
cot h
g
f
v
+
f
v
(7
.
75)
where
S
1
S
1
1
f
f
=
o
S
1
h
2
−
i
=
=
o
S
1
h
2
.
1
−
i
The transverse apparent resistivities are
