Transactions on Antennas and Propagation



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122
M
is almost the same as
V
which is large, whereas when is small (close to 0°),
M
is almost the same as
H
which is small. Therefore,
M
has a similar distribution as
(2)
V
<
H
. In this way,
V
is close to the minimum value of the total interval and
H
is close to the maximum value. Thus, when is large (close to 90°),
M
is almost the same as
V
and is small, whereas when is small (close to 0°),
M
is almost the same as
H
and is large. Thus,
M
has a distribution inverse with Therefore, when is close to -1,
3
l
M
is mainly determined by the distribution of polarization angle and is almost irrelevant to the distribution of
H
and
V
. Virtually, from our trials (partly shown in Section III, it is found that even a
3
l
close to 0 (irrespective of positive or negative) can also yield a good similarity between
M
and
, if
H
and
V
have similar interval length. To study the effect of interval length, anew concept, interval range ratio, is defined as
1 2
12
l
1 2
, )
, )
l l
l l
min(
max(
(6) which has the value between 0 and 1, and a larger value means that the two intervals have more similar interval length. It should be pointed out that when overlap ratio is close to 0 irrespective of positive or negative, and
H
and
V
have small range ratio, the distribution of
M
will be unpredictable and can be dissimilar with
H
or
V
or It would be interesting to find away to judge the distribution of
M
from the interval overlap ratio and range ratio. A formula is defined as follows to help make the decision
3 3 12
jg l
l l (7) The principle of (7) is that for positive , jg increases with and l
12
, while for negative , jg decreases with the magnitude of and l
12
. Thus, jg is large when is positive and and l
12
are large, while jg is small when is negative and and l
12
are large. With the increase of jg from the minimum to maximum, the distribution of
3
l
l
3
l
3
l
3
| l
3
l
3
l
|
3
l
3
M
varies gradually from being similar with to being similar with
H
and
V
In fact, both and l
12 demonstrate the difference of the two additive intervals, and jg, as a combination of these two factors, is an overall measure of the interval difference in relative dimension. IPD difference between parallel and perpendicular polarization transmission coefficients, i.e., the difference between
3
l
H
and
V
, is known as an important factor in leading to BSE, and this point is considered in studying radome BSE characteristics with the help of jg.
C. Permittivity profile with the 1/r
2
law representation
The permittivity decreases symmetrically according to an inverse-square profile from a given maximum value at the plane of symmetry and tends towards unity at the two radome surfaces bounded by air. The relative permittivity across the radome wall is assumed as [20]
2 2
( )
[ |
| 1]
r
b
r
a d r
(8) where
r
is the relative permittivity, r is the distance from one radome surface (cf. Fig. 4), d is half of the radome thickness, is curvature coefficient within the range of [0,1), and the coefficients a and b are given as
1
(
) /(1
)

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