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Method of Moments
In the technique of Method of Moments, the object is modelled
as a structure of wires of differing radii. Conducting surfaces
are modelled as a grid of wires. The radius must be such that the
total surface area of the wires is the same as the total surface
area of the true structure. Assumptions are made about the form
the currents take on each wire which might be, for example, a
polynomial with several unknown coefficients. In order to avoid
ambiguity, the length of each wire must be restricted to less
than 0.25 wavelengths. In practise, this length should be less
than 0.1 wavelength. The solution for the coefficients on each
wire is the core of the technique. Since a matrix inversion is
required to obtain all the unknown coefficients, the maximum
permissible number of segments of about 10000 is about the limit.
This method has been used widely for HF antennas on aircraft,
antenna farms on ships, tanks and many other vehicles. Figure 1 shows part of a van with an
extending mast carrying a bicone. Details of the bicone and its
current flow when excited at the centre are shown in Figure 2 and Figure 3.
The restrictions imposed by memory and runtime mean that this
method is limited to less than 100 MHz for antennas on structures
although design of antennas and small structures are not so
limited. MoM codes may be used to
- design and analyse antennas. Examples from MAAS previous
work are wideband dipoles, shunt-fed monopoles, TEM and
ridged horns, LPDAs, helices
- optimise antenna performance. For example, the geometry
of a Yagi antenna was varied to minimise the backlobe
radiation over a specified bandwidth. This optimised
antenna has been successfully manufactured and meets the
design requirements.
- compute the impedance, nearfield and farfield patterns of
an antenna on a structure. MAAS work has included
monopoles and arrays on aircraft, bicones, LPDAs and
dipoles mounted on vans, antennas on lattice masts.
MAAS Expertise
MAAS is an expert in the use of MoM codes and has worked in
this field for more than 10 years. The standard US program for
Method of Moments (NEC) in its latest version is used. For
optimisation, the program NEC-OPT is used. For pre and
post-processing, an in-house program, NECPLT, is used (See Figure
1 and Figure 2). NEC-WIN Professional is also used.
MAAS has contributed to the pool of knowledge on NEC by
publishing papers on validation where NEC results have been
compared with analytical approaches, measurements and the results
from other programs such as ALDAS (a GTD program which computes
the installed performance on a structure).
Figure 1 MoM model segments for a
frequency of 250 MHz

Figure 2 Bicone of Figure 1 showing
currents at 50 MHz

Figure 3 Bicone of Figure 1 showing
currents at 150 MHz and also the segmentation
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