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1996-06-30
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ELEMENTS OF MININEC THEORY
MININEC solves a set of complex relations involving a number of
aspects of electromagnetic propagation. Detail understanding of these
is not necessary to make practical use of the program. However, a
basic understanding of the principles is helpful in setting up the
data input and run conditions for the program. Planning can reduce the
time needed for a run, can give the best accuracy, and lead to proper
interpretation of results.
The following is not a complete exposition of the theory. For one
thing, it has been kept free of mathematics, only concepts being
covered. The actual program is based on the mathematics of
electromagnetic propagation. For full analysis, the following
(unclassified, general distribution documents) should be consulted:
Mininec: a MINI-NUMERICAL ELECTROMAGNETICS CODE, Alfredo J Julian,
James C Logan and John W Rockway, Naval Ocean System Center Technical
Document 516, 6 September, 1982,
The New MININEC (Version 3): A Mini-Numerical Electromagnetic Code, J.
C. Logan and J. W. Rockway, Naval Ocean System Center, Technical
Document 938. September 1986.
Both of these are available from The National Technical Information
Service, 5285 Port Royal Road, Springfield, VA, 22161.
The Basic Concepts
Mininec deals with wires, or elements which are thin enough to be
treated as wires. For simplicity, wires are assumed to be straight.
Each wire is assumed to be divided into segments, such as -----, but
with the segments long enough to connect to each other. Note that
Mininec treats wire ends as being half-segments, so this wire would be
a 4-segment dipole.
Somewhere in the assembly of wire segments which make up the antenna,
there must be at least a single segment which is fed by a current from
an external source. For example clarity, assume that there is a single
driven segment, and that this is the center segment of the lower of a
pair of wires, as =====.
The radio frequency current flowing in this driven segment induces an
electric field in the surrounding space. The intensity of this is a
function of the distance and angle from the driven wire. A result of
the difference of intensity is that each of the segments of the top
wire sees a different intensity, maximum for its center segment and
decreasing towardd the ends. The field difference causes a difference
in the electric charge along the wire, that is, a potential difference
between one place to another.
As a consequence of this potential difference, current will flow in
the segments of the top wire. Equally, there will be a potential
difference for the non-driven segments of the bottom wire, and current
flowing in each segment. Since current is now flowing in all segments,
each will produce a field component, and in turn, a current component
in all other segments. Solution of the antenna performance requires
that all of these currents be evaluated.
Since the process relates to voltages and currents, it is convenient
to express their inter-relation in accord with the alternating current
version of Ohm's law, as:
Current=Voltage/Impedance
Where each of the three quantities has many components, one for each
wire segment for current and voltage, and the square of this number
for impedance.
Mininec solves these relations from the antenna geometry, plus the
supplied driving current. In the process, it also provides data for
other important items, the major ones being:
Driving Impedance
Input Power
Mutual Impedance
Since the current in each segment is now known, and the geometry, the
radiation field can be calculated by array theory. This gives the
radiation pattern. Front/back and front/side ratios can be
calculated.
Refinements
A number of refinements are available. Two or more wires can be
connected at a point, to form antennas such as the "T". Impedances can
be introduced at any segment, as in loaded antennas or for impedance
matching.
One of the important added faactors is the presence or absence of the
earth. Mininec assumes either that the earth is remote, or that the
part directly under the antenna is perfect. This corresponds to adding
a image antenna identical to the source, and underground by the
antenna height. However, the radiation pattern is calculated either
for a remote earth, or for a near earth using provided earth
constants. An option for these is a perfect earth.
Practical Computer Limits
Storing the arrays used by Mininec, especially the impedance array,
takes memory. As a result, a given computer will have a limit to the
antenna complexity it can handle. Similalary, because of the enormous
number of computations necessary, Mininec will be slow when dealing
with antennas with a large number of wire segments.
This matter of run time should not discourage use of Mininec on large
problems. The solution is simply to accept the time necessary, and to
do something else while the computer is running. For example, for a
full scan of pattern versus frequency over an entire band, it is
convenient to start the run in the evening, and have the results the
next morning. (Just be certain that there is a surge protector on the
power line. An unninterruptable power supply is nice also, but a
re-run is just as good, and costs much less).
See the file MNinput for hints on getting good accuracy with
reasonable time.