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					Co-Phasing

Co-phasing or "stacking" has long been a way to get high gain from antennas. Co-phasing
involves placing two (or more!) identical antennas either side-by-side or one over top another
("stacking") at a certain distance apart (usually a 1/2 Wavelength or more) and feeding the
antennas in-phase. The result is 3 db more than just a single antenna. In my opinion, this is
the absolute way to go with beam antennas instead of going with say, 8 elements beams, it
would be much better to go with co-phasing two 4 element beams. If you look at the gain
figures for a 8 element beam, you see that you will end up with more gain if you co-phasing 4
elements instead. If you are considering co-phasing antennas for your mobile, better check
out the "Mobile" section first.

Before I get into the details of co-phasing, lets consider what antennas we should considered
co-phasing. The reason I say this is because co-phasing would not make sense on certain
antennas, when you could just use another type of antenna (with more gain) that would be
simpler. For instance, you could take two A99's (1/2 Wave verticals) and co-phase them, but,
why? It would be more simple to get a 2 element yagi, and mount it vertically. It would have
more gain than two co-phased A99s (and I hope you are not taking their advertised gain
figure of 9.9db and adding 3db onto it, if you think co-phasing two A99s gives you 12.9 db
(more than a 4 element beam!) you better go back and read how much gain your A99 really
has in the "Verticals" section).

Lets look at the pattern of a single 1/2 wave vertical and the effect that co-phasing has (by
showing the pattern of two co-phased 1/2 wave verticals). As you can see in figure 1 the
pattern is now focused mainly into two directions. If you want to have a pattern that is focused
into two directions only and do not want the single direction only that the 2 element yagi gives
you, you could make a yagi that does not have a reflector element, but two director elements.
This would have more gain than two co-phased A99s and take up a lot less space. Figure 2
show a possible arrangement for phasing two 1/2 Wave vertical antennas.
Figure 1 - Comparing the patterns of a single 1/2 Wave vertical and co-phased 1/2 Wave
verticals. This is the result of co-phasing any two omnidirectional antennas.
Figure 2 - How you would mount two 1/2 Wave verticals (or 5/8 Wave verticals) if you
wanted to co phased them. Maximum signal strength is straight into and out of the
figure (towards you, and straight in front of you).

The only antennas I could really recommend co-phasing are beams with 3 or more elements.
The work involved is serious, and with other antennas, there are simpler solutions to stacking.

Why co-phase antennas then? Well, co-phasing beams with 3 or more elements results in
seriously high-gain. If you are serious about phasing your antennas (any antennas, do not let
my ideas and opinions stop you from co-phasing your antennas) then lets get started.

Getting Down to Business

First off, stacking takes a lot of planning, time and money. More planning than anything.
Starting off with the distance you should use, let me discuss what good stacking distances
are. Most text books say that the spacing between co-phased antennas should be at least 1
wavelength (36 feet!). But in practice at 27MHz, we see that stacking at 36 feet is tough. The
rules go like this, for higher gain antennas larger stacking distances are needed to realize the
full 3 db gain increase. This means for your 4 element beam, to get the whole 3 db increase
you should get them as far apart as practical. I have instructions from Antennas Specialists
(the maker of the Moonraker 4) on how to stack 2 Moonraker 4's. The distance they
recommend is at least 24 feet. If it were me, folks, If I were going to attempt this, I would get it
out to at least 27 feet. There is no sense in putting up huge antennas and keeping them so
close. For lower gain antennas (the A99 (1/2 vertical) for example) it would be perfectly
acceptable to stack at 1/2 wavelength apart (18 feet). I would not recommend co-phasing any
CB antennas under 1/2 wavelength though (except for mobile antennas where you can only
go so wide). What happens is the radiation patterns overlap so much, see figure 3, that there
is no effect from co-phasing. The pattern combines and ends up the same shape as a pattern
from the single antenna. It is necessary to separate the two patterns far enough that overlap
is not great, and then you will get the effect of the pattern reforming and creating a much
narrow front lobe as shown in figure 4. Its as simple as that.
Figure 3 - On the left is the radiation pattern of co-phased beams that are too close to
each other (say 9 ft apart). The pattern on the right show the pattern of single beam.
When stacking distances are too close, there is not really any effect from stacking, the
pattern remains the same as having a single antenna.
Figure 4 - The result of stacking beams with a wide enough spacing. You can see that
the near field patterns of the single antennas just touch (this requires wide spacing,
say 36 feet or more), the resulting pattern is re-shaped and has the full 3db increase.

Lets look at some possible physical arrangements for co-phasing. Figure 5 shows two cubical
quads stacked side-by-side. This is the most common arrangement. A stacking boom must be
made to support the two antennas. HERE is the plan for a stacking boom designed by
Antenna Specialists. I do not know of anybody that commercially makes a stacking boom.
Another possible combination of stacking two antennas is shown in figure 6. This is okay if
you only need really high gain in one direction, because if you require that this arrangement
be able to be rotated, the WHOLE tower will have to turn! It has been done, but the
construction problems are formidable. You can even stack more than 2 antennas at a time.
Any even combination of antennas can be co-phased. Figure 7 shows an example.
Figure 5 - Possible physical arrange for co-phased cubical quads. They really aren't
stacked (one on top of the other like figure 6) but most people still call these "stacked"
beams.
Figure 6 - Another way to mount beams if you want to co-phase them. This is a set of 4
element Yagi's mounted over one another. As you can see, the whole tower would
need to be rotated in this arrangement. You can buy commercially available tower
components to solve this more easily than rotating the whole tower, but it is
expensive! I recommend mounting them side-by-side like figure 5 .
Figure 7 - You do not have to stick to just co-phasing two antennas. Any even
combination of antennas can be co-phased. The gain of this setup is monsterous! If
this were 4 element quads you would have 12db + 3db + 3db = 18db. You only get 3db
for adding another set of antennas. Would this every be a great setup. If you every do
this, you better tell me so I can come see it while its still up! I had pictures of stacked
Moonraker 6 antennas that I need to scan in. The antennas only survived a week on a
West Virginia mountain. The stacking boom was made from a piece of 40 Foot Tower!!!

I will leave the construction planning of supporting such huge antenna setups to you! I would
suggest using aluminum for the stacking boom and use guy cables (3 of them) on the
stacking boom made of phillystran. Phillystran is a insulating material that will not stretch and
is invisible to RF. Hey, if you are going for it, do it right! Minimize the effect your supporting
structure has on your antennas patterns. Steel guy cables cause undesirable pattern
interference. HERE is another document from Antenna Specialists on how to orient your
Moonraker 4 antennas on the stacking boom. HERE is one last document of a crazy guy
climbing a skinny tower to put rather large stacked Moonraker 4's up.

The All-Important Step

Now that we have down the distance we should use and the arrangements we can use to
stack antennas, most importantly we must get the feedline right! You must feed your
antennas properly. It is not called co-phasing for nothing. If you use random amounts of coax,
your beam will be fed out-of-phase with one another..let's just say this is not what you want!
Figure 8 shows the all important arrangement of coax you must use to feed your phased
antennas right. A odd multiple of 1/4 Wavelength 75 Ohm coax must be used. Check out the
"Coax Basics" section for information on cutting coax to certain lengths.




Figure 8 - The most important step in getting your co-phased antennas to work right.
75 Ohm coax is used as an impedance transformer to match placing two 50 Ohm loads
in parallel back to 50 Ohms. Note this is only for co-phasing two 50 Ohm antennas. I
am not going to cover harnesses for more than two antennas, if you are going to co-
phase more than 2 antennas at a time, you better be reading more than just my web
page for co-phasing! Also....each side of the harness must be the same length.

I will go over some common coax types here to help you out. Please, please, do not "assume"
that you can just cut your coax close enough and you can just adjust the antennas. This step
will make or break your setup. You must verify your coax type, get the right velocity factor and
cut it right. Again pick a frequency in the middle of where you talk...or pick the exactly
frequency you use most.

Here are some examples (for common 75 Ohm coax):

Coax         1/4 Wavelength for channel 40 (27.405 MHz)
RG-6                                                6' 8 3/4"
RG-11                                                 5' 11"
RG-11 Foam                                         7' 2 3/16"
RG-59                                                 5' 11"
RG-59 Foam                                          7' 1 1/8"


More example. Say we have built our stacking boom for our Moonraker 4's 27 feet long (our
Moonrakers will be 27 feet apart boom to boom) and we got RG-59 Foam Coax to use for the
co-phase harness. We must make each leg to the antenna (from the Tee connector) 21' 3
1/4". As you can see, if we stretch that out straight across we are going to have a ton of
excess coax, we only need 13 1/2 foot for each leg, but we have to use 21' 3 1/4" on each
side to match them up right and feed them in phase. Take the excess and spiral it down the
stacking boom. Do not do it in a tight coil, but make a long wide-spaced spiral around the
stacking boom towards each antenna starting after the Tee connector.
Tuning the antennas

Before you place your antennas up on the stacking boom with the co-phase harness you
should adjust each one individually. I would place it up on the stacking boom where it will be,
then hook the coax straight from the radio to it (preferably use 1/2 multiples of 50 Ohm coax
from the radio to the tee connector, or antenna in this case) then tune the antenna for
whatever ever frequency you are centering your design on. Remember, your antennas have
to be adjusted for the exact same frequency and the co-phase harness must be cut for that
frequency also. So after you get both antennas adjusted to have the exact same SWR curves
as one another, you are ready to connect up your co-phase harness. Be sure that you have
oriented both antennas in the same manner. For instance if the gamma match is pointing right
on the right antenna, be sure that it is ALSO pointing RIGHT on the left antenna. If you have
followed these directions, your array should be close to where you tuned the individual
antennas for. It will not come out exactly where you tuned the individual antennas for because
the odd 1/4 wavelength multiple of coax is going to induce confusion to your SWR meter
again (only 1/2 wave multiples give accurate readings)... but remember the actually SWR at
the antennas feedpoints in theory will be were you set them for. If SWR is way out of whack,
you may have to go back and readjust your antennas again. Or, try rewinding your co-phase
harnesses again in a different way. Instead of making wide space wraps around the stacking
boom, run the coax straight down to the antenna from the tee, and wrap a tight coil around
the stacking boom right where it connects onto the antenna. The wraps of coax should be
touching each other. This acts as a RF choke (prevents RF from flowing on the outside of the
coax) and prevents feed line from interacting with the antenna pattern. This may be the cause
of your problems. If you antenna uses a gamma match or balun you should not have this
problem though. But, may the force be with you!

				
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posted:8/23/2012
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