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Fig. 11.57 Mapping upper-layer conductance S by the Singer-Fainberg method; ( a ) an initial model
of the S- anomaly, ( b ) the conductance S evaluated by the Singer-Fainberg inversion (Singer and
Fainberg, 1997)
1
2 S 1 ( x
H int
x
( x
,
y
,
0)
=−
,
y ) E y ( x
,
y
,
0)
(11
.
32)
1
2 S 1 ( x
H int
y
( x
,
y
,
0)
=
,
y ) E x ( x
,
y
,
0)
.
In the vector form
=
y ) H τ ( x
1
2 S 1 ( x
H int
τ
( x
,
y )
=
,
y ) [ R (
/
2] E τ ( x
,
y )
( x
,
,
y )
a
(11
.
33)
= [ I ]
y ) H τ ( x
H ext
τ
H int
τ
( x
,
y )
=
H τ ( x
,
y )
( x
,
y )
( x
,
,
y )
,
b
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