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and [
h
] is the transformed magnetic distortion tensor whose matrix contains two
unknown components on the secondary diagonal:
0
10
01
h
xx
R
0
[
h
]
[
h
]
D
[
Z
R
]
=
[
I
]
+
=
+
h
yy
0
R
−
0
.
(3
49)
h
xx
R
1
=
.
h
yy
R
−
1
Substituting (3.47) into (3.46), we get
G
[
T
][
S
][
A
][
Z
R
][
h
]
−
1
[
Z
S
]
=
.
(3
.
50)
This matrix equation holds the form of the initial equation (3.46), but it includes the
transformed tensors [
Z
R
] and [
h
] instead of the regional impedance tensor [
Z
R
]
and magnetic distortion tensor [
h
].
By analogy with (3.26) we introduce the apparent regional impedance [
Z
R
] ab-
sorbing the product
G
[
A
]:
⎡
⎣
⎤
G
1
0
R
1
˜
R
1
+
a
0
01
0
[
Z
R
]
⎦
=
=
,
(3
.
51)
˜
R
2
R
2
−
a
−
0
−
0
where
R
1
R
2
G
(1
+
a
)
G
(1
−
a
)
˜
˜
R
1
R
2
=
1
,
=
2
.
h
yx
h
xy
R
R
1
+
1
−
In this notation
[
T
][
S
][
Z
R
][
h
]
−
1
[
Z
S
]
=
.
(3
.
52)
Here
[
h
]
D
[
A
]
−
1
G
[
h
]
[
h
]
D
[
Z
R
]
G
[
A
][
Z
R
]
[
h
]
D
[
Z
R
]
=
[
I
]
+
=
[
I
]
+
=
[
I
]
+
,
(3
.
53)
where [
h
]
D
is the diagonal tensor
h
xx
[
h
]
D
[
A
]
−
1
G
0
[
h
]
D
=
=
h
yy
0
with components
h
yy
G
(1
h
xx
G
(1
h
xx
=
h
yy
=
a
)
,
a
)
.
+
−
