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m and
d
/v
=
on
2
. In the case that
2
=
1000 Ohm
·
0
.
28 the conductive central
⊥
−
segment is hardly screened: the
curve has a well-defined minimum reflecting
the conductive segment of the layer
3
and its ascending branch is close to the locally
⊥
−
normal ¨
n
−
curve (descending branch of the
curve is shifted down because of
m and
d
/v
=
the
S
−
effect). But with
2
=
5000 Ohm
·
0
.
64 the minimum of the
m and
d
/v
≥
⊥
−
4 vanishes at all.
Here we observe the strong screening of the conductive central segment. This effect
does not affect the longitudinal
curve flattens and with
2
≥
25000 Ohm
·
1
.
−
curves, which are close to the locally normal
¨
n
−
curve but have steeper ascending branch due to inductive influence of resistive
side segments.
7.3 Three-Dimensional Conductance Models
Let us consider several thin-sheet models, which admit analytic representations of
the three-dimensional
S
-effect.
7.3.1 The Dmitriev-Barashkov Basic Model
The three-dimensional model of the
S
-effect, suggested by Dmitriev and Barashkov
(Barashkov, 1983; Barashkov and Dmitriev, 1987), is shown in Fig. 7.29. Here
1
(
x
,
y
)
→
1
=
const
,
S
1
(
x
,
y
)
→
S
1
=
const
√
x
2
√
x
2
+
y
2
→∞
+
y
2
→∞
(7
.
92)
2
>>
1
h
2
>>
h
1
,
R
2
>>
R
1
3
=
0
,
where
S
1
(
x
,
y
)
=
h
1
/
1
(
x
,
y
),
R
1
=
h
1
1
,
R
2
=
h
2
2
. The function
1
(
x
,
y
)is
twice differentiable.
Here we briefly run through cumbersome mathematics. The problem is solved
in thin-sheet
S
-approximation and involves two polarizations of the normal electro-
magnetic field:
(x,y)
Fig. 7.29
The
Dmitriev-Barashkov basic
model
