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field
H
qt
that provide a minimum and a maximum of
. Generally these fields are
τ
elliptically polarized.
In accordance with (4.2) and (4.9),
W
zx
H
x
+
W
zy
H
y
W
zy
H
y
)(
W
zx
H
x
+
W
zy
H
y
)
(
W
zx
H
x
+
2
=
=
=
W
−
,
H
y
H
y
2
2
2
|
H
x
|
+
2
|
H
x
|
+
where
W
zx
H
y
−
W
zy
H
x
2
=
≥
0
.
H
y
2
2
|
H
x
|
+
Here the bar denotes the complex conjugation.
The quasi-longitudinal field
H
ql
corresponds to condition
min
=
0. Thus, we
τ
have the equation
W
zx
H
ql
W
zy
H
ql
+
=
0
,
x
y
which gives the polarization ratio
H
ql
W
zx
W
zy
.
y
H
ql
P
ql
H
=
=−
(4
.
21)
x
The quasi-transverse field
H
qt
corresponds to condition
τ
=
0
W
zy
2
2
max
=
=
W
=
|
W
zx
|
+
.
(4
.
22)
Thus, we have the equation
W
zx
H
qt
W
zy
H
qt
−
=
0
,
y
x
which gives the polarization ratio
H
qt
W
zy
W
zx
.
P
qt
H
y
H
qt
=
=
(4
.
23)
x
As is evident from (4.21) and (4.23),
P
ql
H
P
qt
H
=−
1
.
(4
.
24)
The polarization ratios for the quasi-longitudinal and quasi-transverse magnetic
fields comply with (2.24). This means that fields
H
ql
and
H
qt
are orthogonal.
τ
τ