Transactions on Antennas and Propagation



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122
M
is between
H
and
V
. For
2
cos
H
t
and
2
sin
V
t
, if the former is considerably larger than the latter,
M
H
, and if the latter is considerably larger than the former,
M
V
. Usually for half-wave wall radomes, the amplitude of T
H
and T
V
can differ greatly, and several times difference may occur. Compared with traditional half-wave wall radomes, the amplitude of T
H
and T
V
of inhomogeneous radomes which provide an excellent impedance match has two characteristics they are much larger (nearly 1) [20], and they are much closer to each other. These characteristics have a great effect on the radome IPD and will be described in Section III. It can be readily found from (3) that when t
H
and t
V
are similar,
M
will be determined by
H
,
V
and polarization angle
H
and
V
always have the same distribution, whereas their value interval maybe different. If
H
and
V
have nearly the same interval,
M
will have a similar distribution as
H
and
V
. Otherwise this will not hold. A special case is that
M
will have a similar distribution as polarization angle when the interval of
H
and
V
is separated greatly, that is, one is considerably larger than the other. These cases will be detailedly discussed in the following.
B. The combination of two intervals
Consider two intervals [a
1
, b
1
] and [a
2
, b
2
] which constitute anew total interval [a
0
, b
0
], where a
0
=min(a
1
, a
2
) and b
0
=max(b
1
,
b
2
). The interval lengths are denoted as l
1
, l
2
and l
0
, respectively. The two intervals can be classified into two categories they overlap or they separate. Fig. 3 plots the relation of the two intervals when b
2
b
1
(thus, b
0
= b
2
). ab) Fig. 3 Relation of two intervals. (a) Overlap. (b) Separation. In Fig. 3, l
3
represents the overlap length, which can be readily understood in (a, whereas in (bi li3 means the distance of the two intervals. Here we define the generalized overlap length as
l
3
=min(b
2
, b
1
)-max(a
2
, a
1
) (4) which is not confined by the assumption b
2
b
1
. Define interval length ratio and overlap ratio by normalizing the interval length and generalized overlap length by l
0
, respectively, that is,
0
/ ,
i
i
l
l l
1,
i
2,3
. (5) In this way,
3
l
is in the range (-1,1] and a positive/negative value means overlap/separation exists. In (3), if the overlap ratio of the intervals of
3
l
H
and
V
is very large (close to 1),
M
will have the same distribution as
H
and
V
, whereas if
l
3
is very small (close to -1),
M
will have a different distribution. When is close to -1, consider two cases
3
l
(1)
V
>
H
. This is the common casein radome design. In this way, as shown in Fig. bi Vi is close to the maximum value of the total interval and
H
is close to the minimum value. From (3), it can be seen that when is large (close to

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Transactions on Antennas and Propagation
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4 90°),

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