ANTENNA INSTALLED PERFORMANCE AS
APPLIED TO LEOs
Introduction
This was the text of an invited presentation to
the QMWC (London, UK) Symposium on Antennas in a special session
devoted to Low Earth Orbit (LEO) Satellite systems.
There are a number of problem areas in designing
antennas for an LEO communications system which are caused by the
local structure. The local structure is defined as anything in
the vicinity of the antennas which affects the antenna. This
structure may be conducting, dielectric or lossy and may affect
the antenna match, its bandwidth and the radiation pattern in any
direction. The antenna may be affected in one or all of these
parameters.
In the case of systems which include LEOs, the
antenna on the ground is likely to have a low gain and a broad
beamwidth which makes the antenna more vulnerable to the local
structure. In the LEO itself, the antenna will have a high gain
but coupling to other antenna by way of the structure is
important.
Simple Example
A simple example is that of halfwave dipole
parallel to a cylinder of height, H, and diameter, D. If the
distance between the dipole and the axis of the cylinder, L, is
varied, then the dipole performance will vary with the distance,
L. In the far-field, that is, when L is large, there is no
effect. When L decreases to about 1.0 lambda, the radiation
pattern will change. When L is < 0.25 lambda, the cylinder is
in the nearfield of the dipole and the impedance changes. At a
distance L < 0.1 lambda, the centre frequency changes.
Figure 1a and 1B show the effect when the cylinder has a
diameter of 1.0 wavelengths and a height of 2 wavelengths.
Clearly the impedance and the centre frequency have changed with
changing L. The corresponding radiation patterns are shown in Figure 2.
Every real geometry for an installation is
different and analytical methods are of little help. For the
effect on match and centre frequency, a modelling tool is needed
which will provide the currents on the antenna and the structure.
The Method of Moments (MoM) can be used as can Finite Difference
Time Domain (FDTD) but there are problems with runtime and
memory. However only the structure nearest to the antenna needs
to be modelled. For the effect on radiation patterns, the whole
structure is needed and the Geometric Theory of Diffraction can
be used. Table 1 provides a Review of CEM Tools which can be
used.
Table 1 Review of CEM Tools
| Method |
Currents and Impedance |
Radiation Patterns |
Modelled by |
Materials |
Limitations |
| Method of Moments |
Yes |
Yes |
Small surface Elements, wires or conducting plates |
Conductors. Some codes include dielectrics |
Runtime/memory Structure <25 sq. l |
| FDTD |
Yes |
Yes |
Small volume elements |
Conductors and Dielectrics |
Runtime/memory Structure < 3 l cube |
| GTD/UTD |
No |
Yes |
Ray-tracing |
Conductors only |
Structure size > 1 l |
Application to Earth Terminals
The gain will be moderate, say, a peak gain of 15
dBi. The frequency is 1.8 GHz with circular polarisation and the
antenna will be mounted on a vehicle, for example, a lorry, small
boat, car, aircraft. All these structures can be partially
conducting and can contain dielectrics. On these vehicles, the
antenna boresight must be variable in order to access the
satellite at all times.
Figure 3 shows an array
antenna mounted on the metal roof of a bus, towards the front. Figure 4 shows the radiation pattern of the
array in free space with a beamwidth of 45.0 degrees. Figure 5 shows the Elevation radiation
pattern when the array is installed and with four different
Elevation angles, looking over the front of bus at Elevation 15.0
and 45.0 degrees and looking over the rear of the bus, also at
45.0 and 15.0 degrees Elevation. There is severe disruption of
the pattern at low Elevation angles and the gain has decreased
from the free space figure of 17 dBi. Figure
6 shows the effect of moving the array forward to a position
only 0.5 GHz from the front. The pattern is still distorted at an
Elevation of 15.0 degrees to the front and the peak gain has
decreased to 11.7 dBi.
Figure 7 and Figure 8 show a contour plot of the
radiation pattern from an antenna in free space and then mounted
on an aircraft.
Application to Spacecraft Antennas
These will have higher gain than the Earth
terminals discussed above and the local structure will have
little effect on match and bandwidth. A well-designed satellite
antenna will have low sidelobes to meet CCIR specifications on
radiation and so local structure is not an important effect on
the radiation pattern. The problem area for these antennas is
isolation. Since very good isolation is demanded, the solution
depends on the frequency and dimensions and since much of the
satellite structure will have to be included, MoM and FDTD is
unlikely to be of use. Ray tracing (Diffraction Theory) will have
to be used. Higher order interactions, that is, multiple bounce,
must be included in the calculations.
Accuracy
The accuracy of impedance depends on how well the
local structure has been modelled. It is usually necessary to
model the structure or the part nearest the antenna, optimise the
position, the antenna design and the structure and then build
part of the structure to check the modelling results. The
impedance from the model should be accurate to 10%.
Radiation patterns depend on how well the
structure has been modelled. typically +/- 1 dB for gains greater
than 0.0 dBi and +/- 3 dB for gains greater than -20 dBi.
Computations of isolation are less accurate and might be +/- 10%
in dB down to -60.0 dB and +/- 30.0 dB at -100 dB, for example,
-45.0 +/- 4.5 dB (Figure 9).
Conclusions
The installation site and geometry must be
examined for problems. For matching, use MoM/FDTD for the antenna
and as much of the structure as possible. Check on the centre
frequency and whether there is any need for special re-matching
when the antenna is installed. The same antenna may be installed
in many different sites and it may be more useful to rematch in
situ. for radiation patterns, use MoM if the structure very
small, otherwise GTD/UTD for both the earth and spacecraft
antennas. For isolation use MoM if the dimensions are very small,
otherwise use GTD/UTD and ray tracing.
|