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R = R o .
1
R
dU o ( R )
dR
C o =
Substituting (5.14) into (5.12), we get
E x
E y
E z
=
C o ( y
y o )
( z ) Z N ( z )
,
=−
C o ( x
x o )
( z ) Z N ( z )
,
=
0
,
C o
H x
H y
H z
=
C o ( x
x o )
( z )
,
=
C o ( y
y o )
( z )
,
=−
o
( z ) Z N ( z )
.
i
.
(5
15)
It is evident that the normal field defined by (5.15) can be considered as a field
of remote magnetic dipole located at the centre O of the source domain I. This field
is the superposition of three independent modes.
Determine the normal magnetic field at the origin of coordinates (at the centre
M o of the observation domain S. In virtue of (5.15)
H x ( x
H x o ,
=
0
,
y
=
0
,
z
=
0)
=−
C o x o =
H y ( x
H y o ,
=
0
,
y
=
0
,
z
=
0)
=−
C o y o =
.
(5
16)
C o
H z
( x
=
0
,
y
=
0
,
z
=
0)
=−
o Z N (0)
=
H z o .
i
Plugging (5.16) into (5.15), we get
i
o y
( z ) Z N ( z )
Z N (0)
E x
H y o
H z o
=
( z ) Z N ( z )
,
i
o x
( z ) Z N ( z )
Z N (0)
E y
H x o
H z o
=−
( z ) Z N ( z )
+
,
E z
=
0
.
and
i
o x
( z )
Z N (0)
i
o y
( z )
Z N (0)
H x
H x o
H z o
H y
H y o
H z o
=
( z )
,
=
( z )
,
( z ) Z N ( z )
H z
H z o
=
Z N (0) .
Grouping the field components that have the same factor H x o ,
H z o , we obtain
three independent modes: two plane-wave modes with polarization in the orthogonal
directions:
H y o ,
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