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Let the Earth's inhomogeneities be elongated in the
x-
direction. To provide
the high sensitivity of the magnetic field to geoelectric structures, we set
E
o
=
E
o
x
1
x
,
H
o
y
1
y
. Then, we get a system of integral equations for normalized
horizontal components of the anomalous magnetic field:
H
o
=
y
)
H
o
x
(
x
y
)
H
o
y
(
x
Z
xx
(
x
Z
xy
(
x
,
,
y
)
+
,
,
y
)
∞
∞
Z
xz
(
x
,
y
)
dx
o
dy
o
H
o
x
(
x
o
,
+
y
o
)
(
x
2
π
x
−
x
o
)
2
+
(
y
−
y
o
)
2
+
z
2
−∞
−∞
∞
∞
Z
xz
(
x
,
y
)
dx
o
dy
o
H
o
y
(
x
o
,
(
x
+
y
o
)
2
π
y
−
x
o
)
2
+
(
y
−
y
o
)
2
+
z
2
−∞
−∞
∞
∞
i
o
2
dx
o
dy
o
H
o
y
(
x
o
,
Z
xy
(
x
+
y
o
)
(
x
=
Z
N
−
,
y
)
π
−
x
o
)
2
+
(
y
−
y
o
)
2
+
z
2
−∞
−∞
(5
.
86)
and
y
)
H
o
x
(
x
y
)
H
o
y
(
x
Z
yx
(
x
Z
yy
(
x
,
,
y
)
+
,
,
y
)
∞
∞
Z
yz
(
x
,
y
)
dx
o
dy
o
H
o
x
(
x
o
,
+
y
o
)
(
x
2
π
x
−
x
o
)
2
+
(
y
−
y
o
)
2
+
z
2
−∞
−∞
∞
∞
Z
yz
(
x
(5
.
87)
,
y
)
dx
o
dy
o
H
o
y
(
x
o
,
+
y
o
)
(
x
2
π
y
−
x
o
)
2
+
(
y
−
y
o
)
2
+
z
2
−∞
−∞
∞
∞
i
o
2
dx
o
dy
o
H
o
x
(
x
o
,
Z
yy
(
x
+
(
x
=−
,
,
y
o
)
y
)
π
−
x
o
)
2
+
(
y
−
y
o
)
2
+
z
2
−∞
−∞
H
o
x
H
o
y
H
o
y
.
Solving these integral equations and using (5.48), (5.50), we find the magnetotel-
luric field excited by the plane wave of given polarization. Calculating the mag-
netotelluric fields for two different polarizations, we can compute the impedance
and tipper matrices relating to the plane-wave excitation of the medium under
investigation.
H
o
x
/
H
o
y
,
H
o
y
/
where
Z
N
is the normal impedance and
=
=
5.2.5 Model Experiments on the Synthesis of the Magnetic Field
Let us consider numerical experiments on the synthesis of the magnetic field from
a given impedance or tipper (Fig. 5.2). The model consists of the homogeneous
upper layer of resistivity
1
resting on a resistive basement of resistivity
2
, which
