"Mini-Beam
Geometry Basics"
By
Dick Stevens, N1RCT
There
is a natural progression of the geometry of
the "mini-beams" deriving from the basic yagi, which in itself owes a
lot to the common dipole. As an aid to seeing how several types of beam relate
to each other, I have drawn them all following the outline of the simple square
box shown here and all views are from directly above. . I have colored the
driven element Red and the parasitic element Green. Structural booms are shown
as dark gray, tubing as wide and wire as narrow. While the beams may get
proportionately much smaller, I have shown them in the same size box. I have not
included any of the hundreds of variations on a theme such as loading coils, top
hats, and the like. All the examples are horizontal mono-beams of two elements.
Some arrangements are much easier to make multi-band and/or multi-element. The
examples here are also all horizontal beams but if you visualize for a moment,
arrangements like the Quad (square or diamond) will appear to you. I would like
to be able to include the radiation pattern polar diagrams and the 3-D pictures
of the antennas but space on my ISP does not permit. In all these pictures, the
length of an element is about 1/2 wavelength.
Here
is the simple dipole, which is the most basic of all antennas. It has a maximum
gain in two directions, which reduces the power that can beamed in one desired
direction and increases the noise that will be picked up from behind when
listening. On the other hand, the dipole can "hear" a lot of stations
and not just ones it is pointed at, which can be an advantage in some
situations. The quest for an enormous front-to-back ( F/B ) ratio
can hurt in some situations we will talk about.
It is important to remember that electrons exchange energy only via
photons. An electric current (electrons) can generate photons which can be
absorbed by other electrons in the wire or released into space, where we call
the photons radio waves, visible light, X-Rays, etc depending on their frequency
/ energy. A parasitic element is picking up photons from the driven element and
the resulting current in the parasitic elements causes the electrons to give off
photons again if we have designed everything just right. This new stream of
photons interacts with the original stream from the driven element to cause the
peaks and valleys of the resulting radiation pattern. Radio
waves / photons do not physically reflect from a reflector but are
first attracted to and absorbed by free electrons in the tubing and then
re-emitted. They join the stream of other photons but are at a different point
in the sine wave (phase) which can cause them to add constructively or
destructively to other photons, resulting in the observed radiation pattern.
The
big evolutionary jump from the dipole is the Yagi-Uda
parasitic element addition. This makes a major increase in the forward gain and
a very high F/B ratio. The classic arrangement is on a boom which is about 1/4
wavelength long. (The popular short boom version is abt. 1/8 wavelength). The
dipole elements are also 1/4 wavelength, each side. Arranging this in our box
basically adds a parasitic element on the left hand side of the box, a
reflector. The two arms form an electronic circuit and energy is coupled or
induced from the driven element to parasitic reflector. This coupling is key to
any parasitic element and is the only way it can get the current from the driven
element that it immediately re-radiates but just enough later in time to cause
constructive interference in the desired direction and destructive interference
in the opposite direction. All parasitic element must capture current and then
re-radiate with just the right phase difference, caused by the distance the
radio waves had to travel, which is the element spacing.
The next step in the evolution of the mini-beam is to increase the coupling
between the elements by bending in the elements toward each other. This is a
" U " shaped element and I call it a Moxon beam as I first read about
it in Les Moxon G6XN 's book. To digress a moment, I have modeled all these
shapes using Antenna Optimizer by K6STI which permits modeling the geometry as
algebraic equations rather than constants like most other antenna programs. AO
will then attempt to optimize various antenna parameters by adjusting the
element dimensions. I developed a general set of equations which covers all the
antennas mentioned here and it is near magic to see program slowly change the
shape and angles of an antenna as it searches for the best arrangement. Thanks,
Brian. Those little tips on the beam ( shown narrow to simulate wire
instead of tubing ) make the antenna a little shorter and generally improve the
F/B, Gain, and SWR over the plain two-element yagi.
Once
we start bending elements willy-nilly, there are many ways to do it. The ends
could have pivoted in to make a shallow or deep "v" shapes; the main
element lengths do not have to be equal which gives rise to a trapezoid shape;
each element can be "folded" like a "folded dipole", etc. We
can also make the design so that the tips are a major part of the total length
and not just coupling reactance, which results in a much reduced turning radius
of the beam. This one is named after Fred Caton, VK2ABQ and has excellent
characteristics. It is also easily designed as a tri-bander with additional wire
elements in the center. As a very general statement, wire reduces the bandwidth
over tubing. This design uses four insulated rods to hold the wires in position.
The design calls for the element tips to be tied together using a coat button as
an insulator, so the tips come very close together. In fact, AO shows that they
can be overlapped (but insulated) for best F/B ratio.
If
we look at the VK2ABQ beam and say .. "lets make those insulated arms out
of aluminum and put them to work" ... We get the " X " beam
antenna, which is really more a " W " than an "
X ". A continuous light cord connecting the ends of the arms provides
considerable rigidity. This beam in general has a very poor front-to-back ratio,
typically 10 dB but up to about 17 dB can be achieved at the expense of forward
gain if desired. With this antenna, there is additional strong coupling achieved
at the center in the form of capacitive coupling while the end wires contribute
inductive coupling. Small adjustments to the outer wires make large changes in
the antenna complex resistance. This permits a wide variation of electrical
designs from a very wide bandwidth design at moderate gain to very high gain at
narrow bandwidth. The X Beam is my choice for RTTY contesting and I will be
writing articles on details of my designs, electrical and mechanical. For the
moment, I will point out that the poor front-to-back ratio of the X-Beam is an
advantage for me in contesting as I can work the USA off the back of the beam
while targeting Europe with the maximum gain direction.
The
last variation we will show is the " Hex " beam which is a re-angling
of the X-Beam arms from 45 degrees to 30 degrees and the addition of two
insulating arms to move the ends out at an angle. Actually, drawing this in a
box is not a pure hexagon; a circle with the arms as radii is the correct shape,
in order that the insulated rod be the same length as the other arms. This
arrangement solves the F/B problem of the X-Beam and further reduces the turning
radius (to about 10 feet for a 20M beam). Is this the ultimate? Probably, in a
practical sense, but we can visualize something like a Pfeiffer Quad element cut
up a bit. Les Moxon, G6XN has designs that get into the three-dimensional realm
by bending the insulated arms of the VK2ABQ beam up in the air and using them as
a 3-D multi-band antenna (which look much like the sail on a Polynesian
canoe).
Starting with the VK2ABQ design, these antennas are low
windage and low weight and are quite at home on a TV rotor and light-weight
tubing pole/towers. Often the gain of the resulting antenna structure can be
higher if we can get a light-weight, low windage antenna up higher than we could
a larger and heavier antenna. Height is all-important and the mini-beams are
much easier to get up high. The light weight of the pole and antenna permit
small ropes for guy wires .. I use 3/16" Dacron every 10' and the guy
anchors are ordinary screw hooks in trees and buildings. The resulting 52 foot
structure for 20 meters I use has quite a low visibility. The cost is a small
fraction of the conventional tower arrangements and the low angle gain at 52
feet is better than a THREE element monoband Yagi at 37 feet.
With inexpensive poles and rotors, monobanders for 15 and 10
meters on their own arrangements become practical and permit a second rig for
monitoring other bands while calling CQ on the main rig. Multi-band antennas are
not good for this.