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-   -   Max F/b and max gain at same freq. (https://www.radiobanter.com/antenna/65920-max-f-b-max-gain-same-freq.html)

Roy Lewallen March 10th 05 11:34 PM

wrote:
Oh come on Wes look at your last posting where you poked fun at the idea of
a polygon phasor array. And look at the other postings where it was obvious
that many were not familiar with the same and needed more direction. Look at
Roy,
he admitted he knows nothing about the subject. . .


What subject is that? Phased arrays? Phasors? Vectors? Polygons? I made
no admission of the kind! Can you quote what I said and when I said it?

I learned about vectors in high school physics class, and phasors on my
own while in high school over 40 years ago now. Both were, of course,
nearly daily fare throughout my college EE curriculum, and frequently
used during my career as an electronics design engineer. As for phased
arrays, have you ever looked at Chapter 8 of the ARRL Antenna Book (of
the last 15 years or so), or my article in Vol. 2 of the ARRL Antenna
Compendium (1989), "The Simplest Phased Array Feed System -- That
Works"? The techniques I describe in both those publications do,
incidentally, work as claimed, and have been shown to do so many times.

Or do you mean I know nothing about the subject of voodoo science? If
so, I'm guilty as charged.

Roy Lewallen, W7EL

Cecil Moore March 10th 05 11:47 PM

wrote:
Look at Roy, he admitted he knows nothing about the subject
which when he next argues with the like of Cecil and others I will now have
to think twice instead of accepting his typical riposte that he supplies.


In the immortal words of the warden from "Cool Hand Luke",
"Whut we haave heah is ahh faiyuah tuh cahmmunicate." I don't
think it's anything personal. We-all just don't speak the same
language. Ah think Ah'm gonna amble over yonder directly.
--
73, Cecil
http://www.qsl.net/w5dxp


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[email protected] March 11th 05 12:13 AM

Lewallen" wrote in message
...
wrote:
Oh come on Wes look at your last posting where you poked fun at the idea
of a polygon phasor array. And look at the other postings where it was
obvious that many were not familiar with the same and needed more
direction. Look at Roy,
he admitted he knows nothing about the subject. . .


What subject is that? Phased arrays? Phasors? Vectors? Polygons? I made no
admission of the kind! Can you quote what I said and when I said it?


Roy you have no further to look than this thread and it appeared un der your
name



I learned about vectors in high school physics class, and phasors on my
own while in high school over 40 years ago now. Both were, of course,
nearly daily fare throughout my college EE curriculum, and frequently used
during my career as an electronics design engineer. As for phased arrays,
have you ever looked at Chapter 8 of the ARRL Antenna Book (of the last 15
years or so), or my article in Vol. 2 of the ARRL Antenna Compendium
(1989), "The Simplest Phased Array Feed System -- That Works"? The
techniques I describe in both those publications do, incidentally, work as
claimed, and have been shown to do so many times.


Yes I am aware of that and I expressed amazement at your lack of knoweledge
as expressed in this thread. At the same time I see you are referring to
stuff
that you wrote when you were younger and things change as you get older.
A case in point is the ELZEC program which frankly does not match up with
todays technology or competitive programs yet maintains a high price
presumably based on your past achievements.
But when you express your knoweledge as you did this week
and showed complete lack of knoweledge regarding the subject at hand then
it may well be a sign of the times as it were and you resorted to attack,
not the
underpinnings of what I stated but me as an individual. If you were a
profesional
you would have attacked the polygon example given at the onset of this
thread
but then you expressed lack of knoweledge of the subject and I commended
you for that but the passing of time places no mercy on any of us mortals
as
we age despite our personally perceived station in life.






Or do you mean I know nothing about the subject of voodoo science? If so,
I'm guilty as charged.



If the subject of vector arrays is voodoo then I agree you are guilty as
charged


Its a real shame that you are taking this attitude but if all you want is a
piece of me
then I am not going to go away

Regards
Art......KB9MZ......XG



Roy Lewallen, W7EL




[email protected] March 11th 05 12:47 AM

Yes I have those reference books but I do not have access to IRE procedings.
My quest was not an easy one and I reflected long as to why the NEC model
did not reflect an absolute zero Front to back. On reflection I realised
that a straight
element in an array is not necessarily the most efficient radiator. Then you
have the position
that a deformed radiator must have a definite coupling on other elements as
shown by Moxon
to have a resistive impedance, he used the bending of elements to pursue
this.
And there are other things to be concerned about such as element diameter
change as we move
away from the center as well as the element structure that is tubular and
not solid which would portray
a different aproach with respect to skin resistance. One thing I did look at
was the difference in F/B
when I went for maximum gain and the change that occured when I went for
maximum F/B and I was
surprised to see the F/R increase at a large rate and reach its maximum of
more than
50 percent improvement ( actually 100 % improvement for the low TOA )at the
loss of less than
one half db loss in gain because the range of maximum gain was reduced. In
retrospect this is not
surprising as the frontal lobe became larger in diameter at a lesser
percentage rate of what was
taken from the rear

Hopefully the weather will change soon so I can see exactly what is
happening with a full scale
array
Regards
Art

"Jerry Martes" wrote in message
news:Mf0Yd.43497$uc.34067@trnddc01...

Art

If your question is "is there any written work that pertains to how gain
and sidelobes are related", the answer is Yes. I dont know where back
issues of the IRE Proceedings can be found. But, the Proceedings of the
Professional Group on Antennas will have so much information on current
distribution on a planer array that you may not have enough time left to
read it all.
The current distribution across an antenna aperature has been studdied
very seriously.

I am not qualified to discuss phased arrays. I am convinced that max
gain will not be acheived with the same current distribution as for
minimum side lobes. I realize that you write only "back lobes". But,
thats a side lobe at that special angle
I am rather simple minded when it comes to phased arrays. I use
Referance Data For Radio Engineers as a referance book. It has alot of
information on phased arrays. I suspect all the information I have has
already been concidered by you.

Jerry


" wrote in
message news:2w_Xd.52445$Ze3.8223@attbi_s51...
O.K..O..K Seems like everybody has forgotton the basics of the polygon of
forces
and other uses of vector so I will go over the basics.
At the age of 14 yearsI entered the School of Engineering and Navigation
where they hashed things from first principles, Since I had little
schooling
during those war years it gave me an accelerated course on what I had
missed
during those schoolless years which meant a lot of homework and I had to
work like hell.
From the name of the school it was evident that I would get a quick
introduction
on vectors for forces and navigation
. This went as follows:
When you swim across a swimming pool then you can swim point to point.
If you swim across a river and tried to swim point to point you finish up
on the
other side but down, stream thus to get to the original point of the
endeavor you
must swim upstream. If you are a ship or a plane it is obvious that you
must have enought fuel
to get from point to point so this becomes very important.
Thus going back to the river swim you can draw a vector or line
that follows the path you took first to cross the river. Since you have
units such as time and distance
you can draw that line in scalar form. Then you add on to the tail end of
the line the journey upstream
again in scalar form which will be something less than a 90 degree angle.
If you then look back at the point that you started from it becomes
obvious that when you swim across stream
the angle you must follow is the angle which is shown from the beginning
of the triangle to
the point that you finished up. Next time you are on a plane look
downwards and pick up the flight pattern
of small private planes and you will see that their flight path is
different from the angle projected by the fuselage
All this is in accordance with Newton's law that 'every action has an
equal and opposite reaction.'
Now look below at my original post to what I said and you will see that I
applied a scalar drawing that consisted
of many scalae directions in the same way a sailing ship would do if it
had to keep changing
direction to get to shore. The first vector drawn for an element with
known phase and current was drawn
which happened to be a vertical line of known length. The next line was
then added at the end
to reflect the current and phase of the next element chosen and then onto
the next element chosen.
But this element presented a phase and current that was equal and
opposite to the one previously drawn
which meant that I was back to the tail end of my first vector chosen !
Thes two elements are termed destructive
In fact this happened several times
where vectors cancelled each other so we are just left with a singe
vector in our scalar drawing .This
meant to get back to the point of origin and remembering Newton's law
previously alluded to the scalar
drawing it represents a vector that is equal to the starting vector
drawn, THE SAME PHASE and same
CURRENT. Thus the polygon reflects an array where the phase is constant
but the currents are ADDITIVE
This represents the radiation pattern of a figure eight EXCEPT all the
radiation is now to one
side of the feed point and comprising of a single and larger circle.
All of this reflects exactly what I stated below except I assumed that
the pologon phase drawing was
already known to all, for which I apologise.
With NEC I constructed a model that closely followed this format though
the real world did not
make elements exactly equal but when I rehashed in my mind the basic
priciples the polygon aproach verified
that this aproach does give extraordinary front to back/rear figures that
gave rise to mistrust of the
softwear being used where you may remember that I commented on a model
that I made and where
the response was that the f/b was to high a point that had troubled me
for many a month.
Sorry for the long winded response which reflects what I have gone thru
with my postings which
apparently projected me as a total fool that gave rise to dirisive
comments.
Now I ask again, is there any written work that pertains to max gain and
f to b/rear being on the same frequency?
Best regards to all, no hard feelings
Art KB9MZ................XG




" wrote in
message news:dySVd.30807$r55.174@attbi_s52...
I have just come to realise that if one drew a polygon of element phases
in a array
and all elements were 180 degrees to its companion element and excluding
the
driven element, the max gain and max front to back will occur at the
SAME frequency!
Until now I was of the understanding that these two max figures could
not occur at
the same frequency. Is there anything written about this possibility?
Regards
Art








Richard Clark March 11th 05 01:05 AM

On Mon, 07 Mar 2005 01:02:18 GMT, "
wrote:
It would appear that I have come across something new.


"Kraus forgive them,
For they know not where they've polygon wrong"

73's
Richard Clark, KB7QHC

Dave Platt March 11th 05 01:16 AM

In article 5p5Yd.114985$4q6.47585@attbi_s01,
wrote:

Roy you have no further to look than this thread and it appeared un der your
name


Art, I read what he said:

"Sorry, Art, but the reason I don't appreciate your ideas isn't
because I don't understand vectors or analysis from first principles or
because I have some sort of prejudice against something in your background.
It's simply that you're unable to communicate your ideas in a way I can
understand them..."

If you believe that Roy is saying that he doesn't understand vectors,
you're completely misunderstanding what he wrote. You mis-parsed his
(admittedly complex) sentence structure.

He is saying that:

[1] He does understand vectors and analysis from first principles,
[2] He has no prejudice against your background,

but that

[3] You aren't able to communicate your ideas in a way he finds
understandable, and
[4] His failure to appreciate your ideas results from point [3].

Your belief that Roy admitted not understanding vectors or analysis is
purely a result of your mis-reading what he wrote. He didn't say
that. You've acknowledged that you're not a good communicator...
well, I'm afraid you failed to understand Roy's communication
accurately.

Roy isn't alone in his inability to understand what you're trying to
express. I read back through your original question about phase and
magnitude resultants from radiators arranged in a polygon, and quite
honestly there just wasn't enough information in what you posted for
anyone to gain a clear and unambiguous understanding of just what you
were talking about. You wanted to know whether anyone had
investigated or studied such arrangements or systems... but you didn't
specify what *kind* of polygon (regular, irregular, chaotic, fractal,
etc.), what sort of drive or feed arrangments you were assuming to
create the currents to create the signals in the proper magnitudes and
phases, etc.

In short, your query could have been about almost *any* sort of
multi-element antenna, because you didn't give enough information
to enable any reader to figure out what sort of antennas you were
referring to and which you were ignoring.

We can't read your mind. If you cannot express yourself clearly, and
misunderstand what people write in response, then there's just no way
for anyone to help you with your ideas.

As others have pointed out, there are many *decades* of studies,
papers, designs, etc. having to do with multiple radiators in specific
phase/magnitude arrangments. The use of actively-driven phased
dipole or monopole arrays dates back at least to the 1930s, I believe.

It's easy to calculate the resultants for multiple-radiator phased
arrays of various sorts. The hard part is getting each element to
radiate the magnitude and phase you want, in the proper relationships,
with an active feed arrangment that's practical to implement and which
has the other characteristics you desire (e.g. broadbanded behavior).
I gather that there are some simple-seeming problems in power division
and phase splitting for which no good, general solutions are known
even today. Things get even tougher if you want to depend on
parasitic excitement of some of the elements.

Simply adding up phase vectors isn't hard... but it doesn't equate to
designing an actual working antenna. It's sort of like the old joke
about a physicist's cookbook: "First, assume the availability of a
spherical chicken of uniform density." The recipe is easy once you
have the chicken... :-)

--
Dave Platt AE6EO
Hosting the Jade Warrior home page:
http://www.radagast.org/jade-warrior
I do _not_ wish to receive unsolicited commercial email, and I will
boycott any company which has the gall to send me such ads!

[email protected] March 11th 05 01:26 AM


Richard Clark wrote:
On Mon, 07 Mar 2005 01:02:18 GMT, "
wrote:
It would appear that I have come across something new.


"Kraus forgive them,
For they know not where they've polygon wrong"


You said it...This is hilarious...Better than the comedy
channel.. Poor ole Art just doesn't get it...At all...
It wouldn't matter what we said, if it does not align with
his thinking, we are all ignorant, or we are trying to
crucify him to a rohn 45 tower...It doesn't matter that
the problem has nothing to do with polygons, phased arrays,
or anything else under the sun. The problem is he wants to
keep his "device" a secret, so he can claim it a new
invention. So he's afraid to give any details at all.
In doing this, he fails to realize no one has a clue to what
he is trying to describe 92% of the time...Myself, I think
this is just another round the world attempt to justify the
validity of that Rube Goldburg looking antenna he has been
trying to plug since whenever....Years it would seem...
MK


Jim Kelley March 11th 05 02:12 AM



wrote:

Yes I am aware of that and I expressed amazement at your lack of knoweledge
as expressed in this thread. At the same time I see you are referring to
stuff
that you wrote when you were younger and things change as you get older.
A case in point is the ELZEC program which frankly does not match up with
todays technology or competitive programs yet maintains a high price
presumably based on your past achievements.
But when you express your knoweledge as you did this week
and showed complete lack of knoweledge regarding the subject at hand then
it may well be a sign of the times as it were and you resorted to attack,
not the
underpinnings of what I stated but me as an individual. If you were a
profesional
you would have attacked the polygon example given at the onset of this
thread
but then you expressed lack of knoweledge of the subject and I commended
you for that but the passing of time places no mercy on any of us mortals
as
we age despite our personally perceived station in life.


What you described would be at best be described in contemporary
venacular as a polyline. As has been explained, a polygon is a closed
shape. A polyline could form a polygon in the special case where the
phase angles sum to 360 and the line segments are of proper length and
in a particular order. I think most of us here know that Roy of all
people has no trouble at all with such a concept. I also have been
following the thread, and what you didn't describe is how any of that
relates to the antenna question you asked. Hence the mix-up.

73, ac6xg


[email protected] March 11th 05 03:45 AM

O.K. Jim you have my respect so I will go over things again.
I commented that I always thought that it was impossible to have
max gain at the same frequency that one obtained max F/B F/R.
Presumably you read that.

I then stated a theoretical situation where elements worked in pairs but
equal and opposite except
the driven element
You read that I assume
So to draw a "polygon" of the array element phases and current we start with
the driven element,
a vertical line of scalar length and then move on to add a scaler length and
phase to the end of the
director "length.
Hopefully you are still with me

But remember I stated that all other elements were equal and opposite in a
twosome form
to another element, thus even tho we we have gone thru the normal routine we
still arrive at the end
of the driven element scalar line.
Hopefully you are still with me

So to close the scalar diagram we have a line that represents an element
that is in phase
with the director i.e additive. This diagram does not show that the element
pairs are doing
nothing and therefore of no use, those elements still radiate but they
oppose each other
with the final result that to close the diagram an element is required that
has the same
phase and magnitude as the fed element
Still with me I hope

With a single dipole over ground we get a figure 8 radiation pattern
but we have just shown how an array can be theoreticaly formed that
results in a unidirectional form where one part of the figure 8 pattern
has been cancelled and at the same time we have two radiation patterns
on the same side of the feed point in additive fashion in the form of a
perfect circle which is larger than either of the circles formed in the
figure 8
pattern.

Yes a lot of steps in this thought process but stick with me

Looking at the final large circle we can say that the demise of the rear
pattern
equates with maximum gain and where the lobe width has become larger
instead of the normal narrowing effect that we get with a Yagi
Still with me?

We can also see that using such an array can avoid the manufacture of side
lobes
whether they are frontal or otherwise as our "Polygon" is symetrical where
one
made for a yagi is not such that errant reflective rays are created.

To wrap things up: the thread was created because I had created such an
array
using NEC with 300 segments per half wave which produced awesome front to
rear figures which some readers questioned the feasability. I also
questioned the results
of the model for many months ,UNTIL I came up with the cited analogy
The model matched the analogy tho the pairs of elements were not exactly
equal
but very close and the resulting pattern matched the analogy in that it
became
LARGER. With two strikes in agreement I then sort for a final crunch mode
and that was
to make what is a mechanical difficult array to build as well as expensive
for something
that still had lingering questions. The winter has been harsh but with a
little time spent
each day during the last six months I now need one half day of good weather
without wind
to place this new fangled array at the tower top and without the need of the
heavy rotor
( prop pitch) which was needed for its equivalent long boom yagi.( I do this
without help
and I am not as strong as I used to be now that I am past 70)
I don't understand the derisve comments regarding my beliefs and the
ensueing
experimentation and building except there is a prevailing thought in the
U.S.
that it is impossible to discover anything new as every thing possible was
already
known, but else where in the world the average ham still experiments to
pursue
new knoweledge.
The world is really seen as out of step with the U.S. in more that one way
and this
thread portrays just one more thing to add to the list.
Regards
Art...... KB9MZ,,,,,, XG

\
I then illustrated where such an array could be drawn polygon fashion
You read that I assume
"Jim Kelley" wrote in message
...


wrote:

Yes I am aware of that and I expressed amazement at your lack of
knoweledge
as expressed in this thread. At the same time I see you are referring to
stuff
that you wrote when you were younger and things change as you get older.
A case in point is the ELZEC program which frankly does not match up with
todays technology or competitive programs yet maintains a high price
presumably based on your past achievements.
But when you express your knoweledge as you did this week
and showed complete lack of knoweledge regarding the subject at hand then
it may well be a sign of the times as it were and you resorted to attack,
not the
underpinnings of what I stated but me as an individual. If you were a
profesional
you would have attacked the polygon example given at the onset of this
thread
but then you expressed lack of knoweledge of the subject and I commended
you for that but the passing of time places no mercy on any of us
mortals as
we age despite our personally perceived station in life.


What you described would be at best be described in contemporary venacular
as a polyline. As has been explained, a polygon is a closed shape. A
polyline could form a polygon in the special case where the phase angles
sum to 360 and the line segments are of proper length and in a particular
order. I think most of us here know that Roy of all people has no trouble
at all with such a concept. I also have been following the thread, and
what you didn't describe is how any of that relates to the antenna
question you asked. Hence the mix-up.

73, ac6xg




Wes Stewart March 11th 05 04:25 AM

On Thu, 10 Mar 2005 22:56:37 GMT, "
wrote:

Oh come on Wes look at your last posting where you poked fun at the idea of
a polygon phasor array. And look at the other postings where it was obvious
that many were not familiar with the same and needed more direction. Look at
Roy,
he admitted he knows nothing about the subject


He did no such thing. Not only are you having difficulty expressing
yourself, you have similar difficulty understanding what others are
trying to tell you. I'm not trying to be cruel or harsh, but that's
just the way it is.


which when he next argues with the like of Cecil and others I will now have
to think twice instead of accepting his typical
riposte that he supplies. But I give Roy credit for being honest in the face
of personal embarassment regarding his lack of knoweledge
You say it was not necesary to provide a long convoluted pseudo treatise on
vectors but many asked for it and you made a joke of the idea,
Regarding front to rear occuring at the same frequency. An operator wants as
much gain as possible when communicating
so he does not need to resort to more power than needed. For best
communication it is nice to block of interference to the rear and thus he
needs best front to rear at the frequency of communication even tho it is of
interest that he had better rejection at a lower frequency. The fact of the
matter is that it is not the frequency being used, he has to live with a
lesser value of rejection, your opinion may well be different.


So if I understand you correctly ( a *really* dubious proposition) I
would have much better success with my 20 meter antenna if I embraced
your philosophy. My current antenna is of my design, a three-element
monoband Yagi-Uda parasitic array. You can see it in the picture on
qrz.com. It is an honest to goodness actual antenna. I have 310
countries confirmed on 20 meters most of them (The hard ones) worked
with this antenna. All at the "too-low" height (according to you) of
45' above ground. I would be delighted to send you an EZNEC,
Multinec, or NEC file that describes the antenna. The model accounts
for boom to mast connection, element taper, etc. (per Leeson,
"Physical Design of Yagi Antennas."), includes the stub matching feed
system and appears to accurately describe the antenna to the best of
my limited capability to measure it.

Over the band of interest, 14.0 to 14.25 MHz., the modeled free-space
FB exceeds 20 dB and the gain varies from ~ 7.9 to 8.15 dBi. The FB
peaks at ~ 14.12 MHz and the gain is maximum at 8.15 dBi at 14.25 MHz.
Pray tell, what operational advantage am I giving up because the gain
at 14.12 MHz (the FB peak) is *only* about 8.0 dBi instead of 8.15
dBi?


Now you also remarked that you do not want explanations, just the meat. I
gave what you call a "treatise" that explained the theoretical
underpinnings of what I have stated. It would be unwise at this point to
declare success without not only having a NEC model to confirm it but also a
20 meter antenna and not say a 144 meg equivalent. Today we had snow, wind
and rain so I could not complete the job.If by chance the antenna gives a
third aproval i.e.Nec model then polygon discussion plus the antenna then I
will forward it to RADCOM for peer review. It is at that time you can vent
your displeasure that you rejected my offer to share the actual mathematical
and physical findings. If you were looking for a way to undermine what I had
stated then my " treatise" now arms you with the knoweledge to disprove what
I have stated as it is one factor that convinces me of my origonal findings.
If you need more information regarding vectors I will be happy to aid you in
your quest


No, I don't needed any more of your help with vectors. I wish you
every success with your RADCOM paper.


[email protected] March 11th 05 05:44 AM

Wes you are off on a tangent again. Go back the the initial posting on this
thread.
It says nothing about your poor antenna or even my antenna as I do not have
one.
It refers to gain and front to rear at the same frequency It does not
refer to an actual physical antenna. None of your postings refer in any
sense
can be seen as a technical response that directly refutes the accuracy of
what I stated.
In your responces I see nothing but snide remarkes or deviation from the
posed subject
by introducing your personal antenna exploits with your own particular
antenna
which I say is at an incorrect height. There is nothing in the initiating
post that
refers to an actual antenna or even ones that are at an incorrect height.
The true facts behind that initial posting that I had a NEC derived model
with extra ordinary back to front figures which made other people
suspicious
including me when I posted that info on another thread.
.. I was looking for answers to my findings.
This post consisted solely of presenting a theoretical analysis that
reflected
the possibility of max gain and max front to rear could appear at the same
frequency.
Nobody even tried to challenge the analogy becauuse everybody believes
all is known about antennas so there was no point in even to attempt to
understand the given analogy. Instead snide remarks were made and
diversionary tactics
in changing the subject to actual antennas such as yours.
The subject and question of this thread was made in the hope that
technically the analogy
made was incorrect and thus allows me personally to discount the accurracy
of my
modelling or on the other hand state they can find no fault with my analogy.
What did I get ? Knee jerk reaction and mirth at the possibility that
something new
had possibly been found when all had taken the position that it is safe to
debunk
because every thing is known. Not one person itemised a particular line
that
gave them particular problems electing to pursue different issues that they
have.
and not to respond to the initial request such as you bring up your own
personal
anternna. And remember, in an effort to circumvent this "roast" aproach
I offered to share everything I had with you but you preferred to continue
with
The "roast " aproach. Your antenna and your personal achievements are the
same
as what Roy did when he introduced his past achievements which again does
nothing
to vote pro or con to my theoretical analogy in a technical way.
Don't you realise that other silent viewers around the world are wondering
why the
few are having difficulty with the question. I sure hope that there are
many hams reading
how the so called gurus are dismissing everything other say. Is this the new
way America
feels about those outside of these borders?
Regards
Art....KB9MZ.......XG

"Wes Stewart" wrote in message
...
On Thu, 10 Mar 2005 22:56:37 GMT, "
wrote:

Oh come on Wes look at your last posting where you poked fun at the idea
of
a polygon phasor array. And look at the other postings where it was
obvious
that many were not familiar with the same and needed more direction. Look
at
Roy,
he admitted he knows nothing about the subject


He did no such thing. Not only are you having difficulty expressing
yourself, you have similar difficulty understanding what others are
trying to tell you. I'm not trying to be cruel or harsh, but that's
just the way it is.


which when he next argues with the like of Cecil and others I will now
have
to think twice instead of accepting his typical
riposte that he supplies. But I give Roy credit for being honest in the
face
of personal embarassment regarding his lack of knoweledge
You say it was not necesary to provide a long convoluted pseudo treatise
on
vectors but many asked for it and you made a joke of the idea,
Regarding front to rear occuring at the same frequency. An operator wants
as
much gain as possible when communicating
so he does not need to resort to more power than needed. For best
communication it is nice to block of interference to the rear and thus he
needs best front to rear at the frequency of communication even tho it is
of
interest that he had better rejection at a lower frequency. The fact of
the
matter is that it is not the frequency being used, he has to live with a
lesser value of rejection, your opinion may well be different.


So if I understand you correctly ( a *really* dubious proposition) I
would have much better success with my 20 meter antenna if I embraced
your philosophy. My current antenna is of my design, a three-element
monoband Yagi-Uda parasitic array. You can see it in the picture on
qrz.com. It is an honest to goodness actual antenna. I have 310
countries confirmed on 20 meters most of them (The hard ones) worked
with this antenna. All at the "too-low" height (according to you) of
45' above ground. I would be delighted to send you an EZNEC,
Multinec, or NEC file that describes the antenna. The model accounts
for boom to mast connection, element taper, etc. (per Leeson,
"Physical Design of Yagi Antennas."), includes the stub matching feed
system and appears to accurately describe the antenna to the best of
my limited capability to measure it.

Over the band of interest, 14.0 to 14.25 MHz., the modeled free-space
FB exceeds 20 dB and the gain varies from ~ 7.9 to 8.15 dBi. The FB
peaks at ~ 14.12 MHz and the gain is maximum at 8.15 dBi at 14.25 MHz.
Pray tell, what operational advantage am I giving up because the gain
at 14.12 MHz (the FB peak) is *only* about 8.0 dBi instead of 8.15
dBi?


Now you also remarked that you do not want explanations, just the meat. I
gave what you call a "treatise" that explained the theoretical
underpinnings of what I have stated. It would be unwise at this point to
declare success without not only having a NEC model to confirm it but also
a
20 meter antenna and not say a 144 meg equivalent. Today we had snow, wind
and rain so I could not complete the job.If by chance the antenna gives a
third aproval i.e.Nec model then polygon discussion plus the antenna then
I
will forward it to RADCOM for peer review. It is at that time you can vent
your displeasure that you rejected my offer to share the actual
mathematical
and physical findings. If you were looking for a way to undermine what I
had
stated then my " treatise" now arms you with the knoweledge to disprove
what
I have stated as it is one factor that convinces me of my origonal
findings.
If you need more information regarding vectors I will be happy to aid you
in
your quest


No, I don't needed any more of your help with vectors. I wish you
every success with your RADCOM paper.




Richard Harrison March 11th 05 05:10 PM

Art Unwin wrote:
"I have just come to realise that if one drew a polygon of element
phases in an array and all elements were 180 degrees to its companion
element and excluding the driven elemment, the max gain and max front to
back will occur at the same frequency!"

Would an antenna made entirely of pairs of identical out of phase
elements be a good antenna?

A "polygon of element phases" must refer to the resultant current in
each element and their combined effect at a point (P) for example in
the far field. Art must have resolved and composed vectors or phasors at
some time. The resultant of any number of vectors can all add to zero or
to some other number and direction. A zero sum often happens in physics
when systems are in equiblirium. Newton said that any action results in
an equal and opposite reaction. Application of a new force often causes
no loss in equilibrium, just a corresponding added reaction.

The reflected wave from an antenna may change in magnitude in proportion
to an incidebt wave yet be nearly exactly equal in magnitude and
180-degrees out of phase with the incident wave, if the reflection is
perfect.

A polygon is a closed plane bounded by straight sides. It can represenht
forces.

Art asked if there were anything written about complete front to back
cancellation in two radiators carrying oppositely directed signals if I
understood the question. Indeed Kraus of W8JK fame has a lot to say
about the possibility.

Kraus writes about an "Array of Two Driven 1/2-wavelength El;ements.
General Case with Equal Currents of Any Phase Relation." in his 1950
edition of "Antennas".

It includes on page 294, field patterns for physical spacings and feed
phasings. For example, at a spacing of 1/8-wavelength and a phasing of
135-degrees, there is complete cancellation in one direction while there
is maximum radiation in the opposite direction.
That`s the good news. Now the bad.

On page 297 Kraus says:
"However, in the flat-top (an advantage placing all elements at maximum
height) antenna such losses may have considerable effect on the gain (as
the feedpoint resistance is very low). Therefore, the question of losses
and of radiating efficiency will be treated in this section in
connection with a discussion of arrays of two closely spaced,
out-of-phase elements. The term "closely-spaced" will be taken to mean
that the elements are spaced 1/4 wavelength or less."

Then, Kraus shows another fly in the ointment on page 300:

"Hence the Q for 1/8 wavelength spacing is about four times the Q for
1/4 wavelength spacing. Very large Q indicates a large amount of stored
energy near the antenna in proportion to the energy radiated per cycle.
This also means that the antenna acts like a sharply tuned circuit."

So much for bandwidth!



Best regards, Richard Harrison, KB5WZI


[email protected] March 11th 05 06:09 PM

Richard
So the principle is good tho in Kraus case he used two feeds instead of one.
Doing it his way with just 2 elements makes it very sensirive to frequency
which obviously not a good thing as you point out.
Your post does have my interest as I would like to see what gain he arrived
at by placig all radiation to the front.
In my case the gain just fell short of 16dbi I will look it up in the
antenna books, thanks for pointing that one out
Best regards
Art KB9MZ......XG
"Richard Harrison" wrote in message
...
Art Unwin wrote:
"I have just come to realise that if one drew a polygon of element
phases in an array and all elements were 180 degrees to its companion
element and excluding the driven elemment, the max gain and max front to
back will occur at the same frequency!"

Would an antenna made entirely of pairs of identical out of phase
elements be a good antenna?

A "polygon of element phases" must refer to the resultant current in
each element and their combined effect at a point (P) for example in
the far field. Art must have resolved and composed vectors or phasors at
some time. The resultant of any number of vectors can all add to zero or
to some other number and direction. A zero sum often happens in physics
when systems are in equiblirium. Newton said that any action results in
an equal and opposite reaction. Application of a new force often causes
no loss in equilibrium, just a corresponding added reaction.

The reflected wave from an antenna may change in magnitude in proportion
to an incidebt wave yet be nearly exactly equal in magnitude and
180-degrees out of phase with the incident wave, if the reflection is
perfect.

A polygon is a closed plane bounded by straight sides. It can represenht
forces.

Art asked if there were anything written about complete front to back
cancellation in two radiators carrying oppositely directed signals if I
understood the question. Indeed Kraus of W8JK fame has a lot to say
about the possibility.

Kraus writes about an "Array of Two Driven 1/2-wavelength El;ements.
General Case with Equal Currents of Any Phase Relation." in his 1950
edition of "Antennas".

It includes on page 294, field patterns for physical spacings and feed
phasings. For example, at a spacing of 1/8-wavelength and a phasing of
135-degrees, there is complete cancellation in one direction while there
is maximum radiation in the opposite direction.
That`s the good news. Now the bad.

On page 297 Kraus says:
"However, in the flat-top (an advantage placing all elements at maximum
height) antenna such losses may have considerable effect on the gain (as
the feedpoint resistance is very low). Therefore, the question of losses
and of radiating efficiency will be treated in this section in
connection with a discussion of arrays of two closely spaced,
out-of-phase elements. The term "closely-spaced" will be taken to mean
that the elements are spaced 1/4 wavelength or less."

Then, Kraus shows another fly in the ointment on page 300:

"Hence the Q for 1/8 wavelength spacing is about four times the Q for
1/4 wavelength spacing. Very large Q indicates a large amount of stored
energy near the antenna in proportion to the energy radiated per cycle.
This also means that the antenna acts like a sharply tuned circuit."

So much for bandwidth!



Best regards, Richard Harrison, KB5WZI




[email protected] March 11th 05 06:36 PM

Richard
I looked thru The ARRL antenna book and I cannot find
any antenna let alone the two element phased array
that showed ZERO radiation to the rear of the feed point.
Is it possible you are pointing to F/B for minimum radiation
where I am refering to zero front to rear:
Regards
Art

"Richard Harrison" wrote in message
...
Art Unwin wrote:
"I have just come to realise that if one drew a polygon of element
phases in an array and all elements were 180 degrees to its companion
element and excluding the driven elemment, the max gain and max front to
back will occur at the same frequency!"

Would an antenna made entirely of pairs of identical out of phase
elements be a good antenna?

A "polygon of element phases" must refer to the resultant current in
each element and their combined effect at a point (P) for example in
the far field. Art must have resolved and composed vectors or phasors at
some time. The resultant of any number of vectors can all add to zero or
to some other number and direction. A zero sum often happens in physics
when systems are in equiblirium. Newton said that any action results in
an equal and opposite reaction. Application of a new force often causes
no loss in equilibrium, just a corresponding added reaction.

The reflected wave from an antenna may change in magnitude in proportion
to an incidebt wave yet be nearly exactly equal in magnitude and
180-degrees out of phase with the incident wave, if the reflection is
perfect.

A polygon is a closed plane bounded by straight sides. It can represenht
forces.

Art asked if there were anything written about complete front to back
cancellation in two radiators carrying oppositely directed signals if I
understood the question. Indeed Kraus of W8JK fame has a lot to say
about the possibility.

Kraus writes about an "Array of Two Driven 1/2-wavelength El;ements.
General Case with Equal Currents of Any Phase Relation." in his 1950
edition of "Antennas".

It includes on page 294, field patterns for physical spacings and feed
phasings. For example, at a spacing of 1/8-wavelength and a phasing of
135-degrees, there is complete cancellation in one direction while there
is maximum radiation in the opposite direction.
That`s the good news. Now the bad.

On page 297 Kraus says:
"However, in the flat-top (an advantage placing all elements at maximum
height) antenna such losses may have considerable effect on the gain (as
the feedpoint resistance is very low). Therefore, the question of losses
and of radiating efficiency will be treated in this section in
connection with a discussion of arrays of two closely spaced,
out-of-phase elements. The term "closely-spaced" will be taken to mean
that the elements are spaced 1/4 wavelength or less."

Then, Kraus shows another fly in the ointment on page 300:

"Hence the Q for 1/8 wavelength spacing is about four times the Q for
1/4 wavelength spacing. Very large Q indicates a large amount of stored
energy near the antenna in proportion to the energy radiated per cycle.
This also means that the antenna acts like a sharply tuned circuit."

So much for bandwidth!



Best regards, Richard Harrison, KB5WZI




Cecil Moore March 11th 05 07:03 PM

wrote:
Richard
I looked thru The ARRL antenna book and I cannot find
any antenna let alone the two element phased array
that showed ZERO radiation to the rear of the feed point.


In my ARRL Antenna Book, 15th edition, page 8-6: Two phased
verticals with 1/8WL spacing and phased at 135 degrees shows
a perfect cardioid with zero radiation in a direction 180
degrees from the direction of maximum gain, i.e. directly
to the rear.
--
73, Cecil
http://www.qsl.net/w5dxp

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[email protected] March 11th 05 08:06 PM

Yes Cecil, a cardioid pattern ,which cannot produce zero radiation at the
rear 180 degrees of the feed point.
Remember we started of with a figure 8 or two balloon pattern so for total
reversal of radiation the front lobe
must finish up as a perfect circle . Said another way, the two ballons are
merged thus making a larger single balloon
Best Regards
Art



"Cecil Moore" wrote in message
...
wrote:
Richard
I looked thru The ARRL antenna book and I cannot find
any antenna let alone the two element phased array
that showed ZERO radiation to the rear of the feed point.


In my ARRL Antenna Book, 15th edition, page 8-6: Two phased
verticals with 1/8WL spacing and phased at 135 degrees shows
a perfect cardioid with zero radiation in a direction 180
degrees from the direction of maximum gain, i.e. directly
to the rear.
--
73, Cecil
http://www.qsl.net/w5dxp

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Richard Harrison March 11th 05 08:31 PM

Art, KB9MZ wrote:
"---I would like to see the gain he arrives at---."

Kraus gives the W8JK close-spaced beam (spacing:1/8-wavelength) a gain
of 5.8 dBi on page 552 in his 2002 3rd edition of "Antennas". A dipole
in free-space has a gain of 2.14 dB over an isotropic, so the W8JK has a
gain of 3.66 dBd. This makes the W8JLK comparable in gain to other
2-element beams in Arnold B. Bailey`s "TV and Other Receiving Antennas"
catalog.

Best regards, Richard Harrison, KB5WZI


Richard Harrison March 11th 05 09:47 PM

Art, KB9MZ wrote:
"I looked through the ARRL book and I cannot find any antenna let alone
the two element phased array that showed zero radiation to the rear of
the feed point."

I was quoting the patterns in Kraus` 1950 edition of "Antennas" on page
294.

However, there is a measured by D.C. Cleckner of Ohio State University
pattern of a 3-element Yagi-Uda with more than 7 dB gain and almost zero
radiation in the direction of 180-degrees from the maximum. It is on
page 246. This has 0.1-wavelength spacing between elements.

Best regards, Richard Harrison, KB5WZI


Gene Fuller March 11th 05 10:43 PM

Art,

Why not?

The cardioid pattern from a two-element array was reported back as least
as far as 1937, by the famous George H. Brown. In the ideal case (free
space, no losses, etc.) the radiation directly to the rear is precisely
zero.

If you add various real world effects then the back lobe is not
precisely zero, and this is shown in the ARRL Antenna Book referenced by
Cecil.

A detailed description of all of this is in Kraus' Antennas, 2nd Ed., in
Chapter 11. He uses equations, and he does not mention coordination of
balloon patterns, so perhaps you have another new invention.

73,
Gene
W4SZ



wrote:
Yes Cecil, a cardioid pattern ,which cannot produce zero radiation at the
rear 180 degrees of the feed point.
Remember we started of with a figure 8 or two balloon pattern so for total
reversal of radiation the front lobe
must finish up as a perfect circle . Said another way, the two ballons are
merged thus making a larger single balloon
Best Regards
Art



"Cecil Moore" wrote in message
...

wrote:

Richard
I looked thru The ARRL antenna book and I cannot find
any antenna let alone the two element phased array
that showed ZERO radiation to the rear of the feed point.


In my ARRL Antenna Book, 15th edition, page 8-6: Two phased
verticals with 1/8WL spacing and phased at 135 degrees shows
a perfect cardioid with zero radiation in a direction 180
degrees from the direction of maximum gain, i.e. directly
to the rear.
--
73, Cecil
http://www.qsl.net/w5dxp

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[email protected] March 11th 05 11:05 PM

A cardioid pattern has radiation in the 180 degree portion behind the feed
point

Regards
Art

"Gene Fuller" wrote in message
...
Art,

Why not?

The cardioid pattern from a two-element array was reported back as least
as far as 1937, by the famous George H. Brown. In the ideal case (free
space, no losses, etc.) the radiation directly to the rear is precisely
zero.

If you add various real world effects then the back lobe is not precisely
zero, and this is shown in the ARRL Antenna Book referenced by Cecil.

A detailed description of all of this is in Kraus' Antennas, 2nd Ed., in
Chapter 11. He uses equations, and he does not mention coordination of
balloon patterns, so perhaps you have another new invention.

73,
Gene
W4SZ



wrote:
Yes Cecil, a cardioid pattern ,which cannot produce zero radiation at the
rear 180 degrees of the feed point.
Remember we started of with a figure 8 or two balloon pattern so for
total reversal of radiation the front lobe
must finish up as a perfect circle . Said another way, the two ballons
are merged thus making a larger single balloon
Best Regards
Art



"Cecil Moore" wrote in message
...

wrote:

Richard
I looked thru The ARRL antenna book and I cannot find
any antenna let alone the two element phased array
that showed ZERO radiation to the rear of the feed point.

In my ARRL Antenna Book, 15th edition, page 8-6: Two phased
verticals with 1/8WL spacing and phased at 135 degrees shows
a perfect cardioid with zero radiation in a direction 180
degrees from the direction of maximum gain, i.e. directly
to the rear.
--
73, Cecil
http://www.qsl.net/w5dxp

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[email protected] March 12th 05 12:38 AM




The formula for z which you gave would give me nightmares.
Are you absolutely sure that what you have written is correct?
Perhaps first principles was overstated n my posting

Art

"Richard Clark" wrote in message
...
On Fri, 11 Mar 2005 23:05:28 GMT, "
wrote:

A cardioid pattern has radiation in the 180 degree portion behind the feed
point

first described by Johann Castillon made a Fellow of the Royal Society
of London in 1753:
r = 2a(1 + cos(theta))
where theta = 180 such that:
r = 2a(1 + cos(180))
r = 2a(1 + -1)
r = 0

Hi Art,

Understandably, the term you are so unfamiliar with, insofar as no
rearward radiation (not the same as no radiation to 180 degrees) is
Lambertian. As may be expected, the term is derived from the work of
mathematician Johann Heinrich Lambert (1728-1777).

It is a distribution curve derived from reflections off of a "diffuse
surface" (note, not the same thing as reflections off of a specular
antenna element):
(x²+y²+z²)² = z

At 300 years+ both are pretty old works that each easily qualify
within the purview of "first principles" if one is serious about
radiation.

73's
Richard Clark, KB7QHC




Richard Harrison March 12th 05 01:21 AM

I wrote:
"However, there is a measured by D.C. Glockner of Ohio State University
pattern of the 3-element Yagi-Uda with more than 7 dB gain and almost
zero radiation from the direction of 180-degrees from the maximum. It is
on page 246."

No correction required but I should add that the book is the 3rd edition
(2002) of "Antennas" by John D. Kraus et al.

Best regards, Richard Harrison, KB5WZI


[email protected] March 12th 05 02:05 AM

I did rotate it and placed it on the ground, the gain dropped
by 4db and the circular lobe
pointed straight up. Some time I will look at same at 1 WL
Art
"Cecil Moore" wrote in message
...
wrote:
If the phases and and magnitudes of the paired elements
are exactly the same, then radiation to the rear is zero.


If you rotate the elements by 90 degrees, can you make the
radiation toward the ground zero?
--
73, Cecil
http://www.qsl.net/w5dxp


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Richard Clark March 12th 05 02:12 AM

On Sat, 12 Mar 2005 00:38:31 GMT, "
wrote:
The formula for z which you gave would give me nightmares.


Hi Art,

That is the Cartesian form. A 2D polar form would follow:

I = I0 · A · cos (phi) · cos (theta) / Pi
where
I is the intensity at a point with elevation theta
A is the area of the surface
I0 is the radiation directed normal to a diffuse surface
phi is the angle of incidence (all angles being considered)

A variant for conforming radiators is found in:

I = I0 · cos (theta)

Observation will reveal why this is called Lambert's Cosine Law.
Simple draughting techniques will reveal the circular distribution
curve.

A simple example of the last equation is found in the common, unlensed
LED. Insofar as radios go, I expect the same response would follow
from placing an isotropic source above a diffuse reflector (you would
then have to use the first equation).

73's
Richard Clark, KB7QHC

Cecil Moore March 12th 05 02:14 AM

wrote:
A cardioid pattern has radiation in the 180 degree portion behind the feed
point


You want zero radiation in an entire hemisphere?
Arecibo probably meets that specification. :-)
--
73, Cecil
http://www.qsl.net/w5dxp


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[email protected] March 12th 05 03:14 AM

Yup.
They have now upgraded the mountain road so you don't have to take a spare
rear axle with you now.
Art
"Cecil Moore" wrote in message
...
wrote:
A cardioid pattern has radiation in the 180 degree portion behind the
feed point


You want zero radiation in an entire hemisphere?
Arecibo probably meets that specification. :-)
--
73, Cecil
http://www.qsl.net/w5dxp


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[email protected] March 12th 05 03:15 AM

But that formula for z does not appear to be correct!
Art
"Richard Clark" wrote in message
...
On Sat, 12 Mar 2005 00:38:31 GMT, "
wrote:
The formula for z which you gave would give me nightmares.


Hi Art,

That is the Cartesian form. A 2D polar form would follow:

I = I0 · A · cos (phi) · cos (theta) / Pi
where
I is the intensity at a point with elevation theta
A is the area of the surface
I0 is the radiation directed normal to a diffuse surface
phi is the angle of incidence (all angles being considered)

A variant for conforming radiators is found in:

I = I0 · cos (theta)

Observation will reveal why this is called Lambert's Cosine Law.
Simple draughting techniques will reveal the circular distribution
curve.

A simple example of the last equation is found in the common, unlensed
LED. Insofar as radios go, I expect the same response would follow
from placing an isotropic source above a diffuse reflector (you would
then have to use the first equation).

73's
Richard Clark, KB7QHC




Richard Clark March 12th 05 08:03 AM

On Sat, 12 Mar 2005 03:15:42 GMT, "
wrote:
But that formula for z does not appear to be correct!


Hi Art,

As I said, you are not working in Cartesians in the first place with
"polygons." It is a formula for computer generation of the surface.

If you absolutely need to understand the formula, read through the
code that is used to construct the distribution curve:
#define sz 2000000
#define bc 19
static double fr() {return rand()/(double)~(131);}
static double sq(double x){return x*x;}
int hi[bc]; int out=0;
int main(){
{int j=bc; while(j--) hi[j]=0;}
{int j=sz; while(j--) {
double x = fr()*1.4-.7, y=fr()*1.4-.7, z=fr();
if(sq(x*x+y*y+z*z) z) {
++hi[(int)(z/sqrt(x*x+y*y+z*z)*bc)];}
else ++out;}}
{int j; for(j=0; jbc; ++j) printf("%d %d %8.2f\n",
j, hi[j], (sz-out)*(j+.5)/(bc*bc/2));}
printf ("%d out of box.\n", out);
}

If you still don't understand, the polar coordinate formulas are just
as useful, simpler, and take very little work to construct a "polygon"
that obtains complete closure. It is, after all, a construction much
like any of a number of classic curves. You need only conform to the
requirements of a Lambertian surface or emitter to obtain the curve
you describe.

73's
Richard Clark, KB7QHC

[email protected] March 13th 05 11:15 PM

Put the antenna half way up and a small part broke!
Have put the antenna to one side
and I will pick it up again during the summer
Regards
Art

" wrote in message
news:dySVd.30807$r55.174@attbi_s52...
I have just come to realise that if one drew a polygon of element phases in
a array
and all elements were 180 degrees to its companion element and excluding
the
driven element, the max gain and max front to back will occur at the SAME
frequency!
Until now I was of the understanding that these two max figures could not
occur at
the same frequency. Is there anything written about this possibility?
Regards
Art




Roy Lewallen March 14th 05 05:40 AM

Gene Fuller wrote:
Art,

Why not?

The cardioid pattern from a two-element array was reported back as least
as far as 1937, by the famous George H. Brown. In the ideal case (free
space, no losses, etc.) the radiation directly to the rear is precisely
zero.

If you add various real world effects then the back lobe is not
precisely zero, and this is shown in the ARRL Antenna Book referenced by
Cecil.
. . .


Actually, this isn't quite true. If you manage to get perfectly phased
and equal magnitude currents in two identical elements where the phase
angle equals 180 degrees minus the element spacing (such as the classic
90-degree fed, 90-degree spaced cardioid), you don't get an infinite
front-back ratio. In the case of the cardioid with typical diameter
quarter wavelength elements, you end up with around a 35 dB front/back
ratio. With longer elements, close to a half wavelength, the front/back
ratio can deteriorate to less than 10 dB when base currents are
identical in magnitude and correctly phased. The reason is that the
mutual coupling between elements alters the current distribution on the
elements. The mutual coupling from element 1 to element 2 isn't the same
as the coupling from element 2 to element 1 (the mutual Z is the same,
but the coupled voltage and coupled impedance aren't). The net result is
that the two elements have different current distributions, so despite
having identical magnitude base currents the two elements don't generate
equal magnitude fields. The overall fields from the two elements end up
being imperfectly phased, also.

This occurs for theoretically perfect and perfectly fed elements, and
isn't due to "real world" effects.

I published some comments about this effect in "Technical
Correspondence" in July 1990 QST ("The Impact of Current Distribution on
Array Patterns"). I'm certainly not the first to have observed it --
some papers published as early as the '40s are referenced in my article.
But I had never seen its effect on front/back ratio of cardioids
mentioned before. Modern versions of the ARRL Antenna Book clearly show
the small reverse lobe of a typical antenna with quarter wavelength
elements.

I stumbled across it when doing some modeling with ELNEC, the
predecessor of EZNEC, and originally thought it was an error in the
program. You'll see it in a plot from the Cardioid.EZ EZNEC example file
(which is also included with the demo program), and a brief explanation
in the corresponding Antenna Notes file.

A theoretically infinite front/back ratio can be achieved by
modification of the base currents. The amount of modification required
depends on the length and diameter of the elements. Only a small
modification is needed if elements are a quarter wavelength high and
small diameter, but in that case, real world effects will probably have
at least as much and likely more of an effect on the front/back than the
current distribution phenomenon. Rather drastic modification is required
of the base currents of elements approaching a half wavelength high,
however, as elaborated in the "Technical Correspondence" piece.

Roy Lewallen, W7EL

Gene Fuller March 14th 05 03:51 PM

Hi Roy,

I have read many of your articles, and I have no doubt you are correct.

However, in the ideal case, specifically in the limit as the wire
diameter goes to zero, the current perturbation from mutual inductance
vanishes. (The mutual inductance does not vanish, only its impact on
current distribution.)

I just spent a few minutes playing around with EZNEC 3, and I was able
to achieve a null of -52 dBi (-57 dBmax) for two half-wave elements,
with nominal 90 degree spacing and 90 degree phasing. The wire size was
as small as possible. This null was in the symmetry plane and directly
in the anti-end-fire direction of course. I expect with more
computational precision, and perhaps fine tuning frequencies and
dimensions this null could be driven farther. The reported current
imbalance was a maximum of 0.2%, mid-way between the center and the ends
of the wires. The phase imbalance between the wires was a maximum of 0.2
degrees.

I am not trying to say this is practical. I was just pointing out the
Art's use of polygons and canceling phasors was not particularly unique.

We have since learned that what Art is trying to accomplish is to
eliminate all radiation in the back hemisphere. The cardioid example is
obviously moot for his quest.

73,
Gene
W4SZ

Roy Lewallen wrote:
Gene Fuller wrote:

Art,

Why not?

The cardioid pattern from a two-element array was reported back as
least as far as 1937, by the famous George H. Brown. In the ideal case
(free space, no losses, etc.) the radiation directly to the rear is
precisely zero.

If you add various real world effects then the back lobe is not
precisely zero, and this is shown in the ARRL Antenna Book referenced
by Cecil.
. . .



Actually, this isn't quite true. If you manage to get perfectly phased
and equal magnitude currents in two identical elements where the phase
angle equals 180 degrees minus the element spacing (such as the classic
90-degree fed, 90-degree spaced cardioid), you don't get an infinite
front-back ratio. In the case of the cardioid with typical diameter
quarter wavelength elements, you end up with around a 35 dB front/back
ratio. With longer elements, close to a half wavelength, the front/back
ratio can deteriorate to less than 10 dB when base currents are
identical in magnitude and correctly phased. The reason is that the
mutual coupling between elements alters the current distribution on the
elements. The mutual coupling from element 1 to element 2 isn't the same
as the coupling from element 2 to element 1 (the mutual Z is the same,
but the coupled voltage and coupled impedance aren't). The net result is
that the two elements have different current distributions, so despite
having identical magnitude base currents the two elements don't generate
equal magnitude fields. The overall fields from the two elements end up
being imperfectly phased, also.

This occurs for theoretically perfect and perfectly fed elements, and
isn't due to "real world" effects.

I published some comments about this effect in "Technical
Correspondence" in July 1990 QST ("The Impact of Current Distribution on
Array Patterns"). I'm certainly not the first to have observed it --
some papers published as early as the '40s are referenced in my article.
But I had never seen its effect on front/back ratio of cardioids
mentioned before. Modern versions of the ARRL Antenna Book clearly show
the small reverse lobe of a typical antenna with quarter wavelength
elements.

I stumbled across it when doing some modeling with ELNEC, the
predecessor of EZNEC, and originally thought it was an error in the
program. You'll see it in a plot from the Cardioid.EZ EZNEC example file
(which is also included with the demo program), and a brief explanation
in the corresponding Antenna Notes file.

A theoretically infinite front/back ratio can be achieved by
modification of the base currents. The amount of modification required
depends on the length and diameter of the elements. Only a small
modification is needed if elements are a quarter wavelength high and
small diameter, but in that case, real world effects will probably have
at least as much and likely more of an effect on the front/back than the
current distribution phenomenon. Rather drastic modification is required
of the base currents of elements approaching a half wavelength high,
however, as elaborated in the "Technical Correspondence" piece.

Roy Lewallen, W7EL


[email protected] March 14th 05 04:11 PM

Gene,
At a matter of interest during the 80s I tried to get to zero
radiation at 180 degree point
since Lawson stated it was possible. After covering the half acre under the
long boom
with a ground screen, in fraustration, I finally gave up
with the pursuit. On one of my present models the rear radiation never
exceed 40db
for more than 180 degrees but as Roy pointed out earlier you still have to
deal with
the higher angles which was the case with my model in that when the angle
reached
30 degrees elevation we were back to 20 db..
The center "plume" radiation seems difficult to eradicate.
I think I will try your suggetion of radiators with radiators
of 0.01 diameter to see what happens
Regards
Art





"Gene Fuller" wrote in message
...
Hi Roy,

I have read many of your articles, and I have no doubt you are correct.

However, in the ideal case, specifically in the limit as the wire diameter
goes to zero, the current perturbation from mutual inductance vanishes.
(The mutual inductance does not vanish, only its impact on current
distribution.)

I just spent a few minutes playing around with EZNEC 3, and I was able to
achieve a null of -52 dBi (-57 dBmax) for two half-wave elements, with
nominal 90 degree spacing and 90 degree phasing. The wire size was as
small as possible. This null was in the symmetry plane and directly in the
anti-end-fire direction of course. I expect with more computational
precision, and perhaps fine tuning frequencies and dimensions this null
could be driven farther. The reported current imbalance was a maximum of
0.2%, mid-way between the center and the ends of the wires. The phase
imbalance between the wires was a maximum of 0.2 degrees.

I am not trying to say this is practical. I was just pointing out the
Art's use of polygons and canceling phasors was not particularly unique.

We have since learned that what Art is trying to accomplish is to
eliminate all radiation in the back hemisphere. The cardioid example is
obviously moot for his quest.

73,
Gene
W4SZ

Roy Lewallen wrote:
Gene Fuller wrote:

Art,

Why not?

The cardioid pattern from a two-element array was reported back as least
as far as 1937, by the famous George H. Brown. In the ideal case (free
space, no losses, etc.) the radiation directly to the rear is precisely
zero.

If you add various real world effects then the back lobe is not
precisely zero, and this is shown in the ARRL Antenna Book referenced by
Cecil.
. . .



Actually, this isn't quite true. If you manage to get perfectly phased
and equal magnitude currents in two identical elements where the phase
angle equals 180 degrees minus the element spacing (such as the classic
90-degree fed, 90-degree spaced cardioid), you don't get an infinite
front-back ratio. In the case of the cardioid with typical diameter
quarter wavelength elements, you end up with around a 35 dB front/back
ratio. With longer elements, close to a half wavelength, the front/back
ratio can deteriorate to less than 10 dB when base currents are identical
in magnitude and correctly phased. The reason is that the mutual coupling
between elements alters the current distribution on the elements. The
mutual coupling from element 1 to element 2 isn't the same as the
coupling from element 2 to element 1 (the mutual Z is the same, but the
coupled voltage and coupled impedance aren't). The net result is that the
two elements have different current distributions, so despite having
identical magnitude base currents the two elements don't generate equal
magnitude fields. The overall fields from the two elements end up being
imperfectly phased, also.

This occurs for theoretically perfect and perfectly fed elements, and
isn't due to "real world" effects.

I published some comments about this effect in "Technical Correspondence"
in July 1990 QST ("The Impact of Current Distribution on Array
Patterns"). I'm certainly not the first to have observed it --
some papers published as early as the '40s are referenced in my article.
But I had never seen its effect on front/back ratio of cardioids
mentioned before. Modern versions of the ARRL Antenna Book clearly show
the small reverse lobe of a typical antenna with quarter wavelength
elements.

I stumbled across it when doing some modeling with ELNEC, the predecessor
of EZNEC, and originally thought it was an error in the program. You'll
see it in a plot from the Cardioid.EZ EZNEC example file (which is also
included with the demo program), and a brief explanation in the
corresponding Antenna Notes file.

A theoretically infinite front/back ratio can be achieved by modification
of the base currents. The amount of modification required depends on the
length and diameter of the elements. Only a small modification is needed
if elements are a quarter wavelength high and small diameter, but in that
case, real world effects will probably have at least as much and likely
more of an effect on the front/back than the current distribution
phenomenon. Rather drastic modification is required of the base currents
of elements approaching a half wavelength high, however, as elaborated in
the "Technical Correspondence" piece.

Roy Lewallen, W7EL




Roy Lewallen March 17th 05 04:09 AM

Yes, as the wire diameter goes to zero, the current distribution
approaches the same on all elements. But in some cases (where the
element height is in the vicinity of a half wavelength) the wires have
to get impossibly thin to achieve good f/b with equal magnitude and
correctly phased base currents. I guess you could categorize needing a
finite diameter wire as a "real world effect" and a zero diameter wire
as "theoretically perfect". As I mentioned, it's not hard to do well at
a quarter wavelength height, but much harder at heights approaching a
half wavelength. For example, I took the EZNEC Cardioid.ez example file
and increased the element heights to 0.4 meter (0.4 wavelength) using 25
segments/element. With wire diameter of 10^-15 mm, the front/back ratio
was still 32 dB. With the original wire diameter of about 0.24 mm, the
front/back was less than 15 dB. And things get worse yet as the elements
get closer to a half wavelength high. But in practice, even at a quarter
wavelength height, people using phased towers might encounter an
unexpectedly low f/b ratio.

For anyone who's interested, I've posted the Technical Correspondence
piece on my web site. You can get it at
http://eznec.com/Amateur/Articles/Current_Dist.pdf.

Roy Lewallen, W7EL

Gene Fuller wrote:
Hi Roy,

I have read many of your articles, and I have no doubt you are correct.

However, in the ideal case, specifically in the limit as the wire
diameter goes to zero, the current perturbation from mutual inductance
vanishes. (The mutual inductance does not vanish, only its impact on
current distribution.)

I just spent a few minutes playing around with EZNEC 3, and I was able
to achieve a null of -52 dBi (-57 dBmax) for two half-wave elements,
with nominal 90 degree spacing and 90 degree phasing. The wire size was
as small as possible. This null was in the symmetry plane and directly
in the anti-end-fire direction of course. I expect with more
computational precision, and perhaps fine tuning frequencies and
dimensions this null could be driven farther. The reported current
imbalance was a maximum of 0.2%, mid-way between the center and the ends
of the wires. The phase imbalance between the wires was a maximum of 0.2
degrees.

I am not trying to say this is practical. I was just pointing out the
Art's use of polygons and canceling phasors was not particularly unique.

We have since learned that what Art is trying to accomplish is to
eliminate all radiation in the back hemisphere. The cardioid example is
obviously moot for his quest.

73,
Gene
W4SZ

Roy Lewallen wrote:

Gene Fuller wrote:

Art,

Why not?

The cardioid pattern from a two-element array was reported back as
least as far as 1937, by the famous George H. Brown. In the ideal
case (free space, no losses, etc.) the radiation directly to the rear
is precisely zero.

If you add various real world effects then the back lobe is not
precisely zero, and this is shown in the ARRL Antenna Book referenced
by Cecil.
. . .




Actually, this isn't quite true. If you manage to get perfectly phased
and equal magnitude currents in two identical elements where the phase
angle equals 180 degrees minus the element spacing (such as the
classic 90-degree fed, 90-degree spaced cardioid), you don't get an
infinite front-back ratio. In the case of the cardioid with typical
diameter quarter wavelength elements, you end up with around a 35 dB
front/back ratio. With longer elements, close to a half wavelength,
the front/back ratio can deteriorate to less than 10 dB when base
currents are identical in magnitude and correctly phased. The reason
is that the mutual coupling between elements alters the current
distribution on the elements. The mutual coupling from element 1 to
element 2 isn't the same as the coupling from element 2 to element 1
(the mutual Z is the same, but the coupled voltage and coupled
impedance aren't). The net result is that the two elements have
different current distributions, so despite having identical magnitude
base currents the two elements don't generate equal magnitude fields.
The overall fields from the two elements end up being imperfectly
phased, also.

This occurs for theoretically perfect and perfectly fed elements, and
isn't due to "real world" effects.

I published some comments about this effect in "Technical
Correspondence" in July 1990 QST ("The Impact of Current Distribution
on Array Patterns"). I'm certainly not the first to have observed it
-- some papers published as early as the '40s are referenced in my
article. But I had never seen its effect on front/back ratio of
cardioids mentioned before. Modern versions of the ARRL Antenna Book
clearly show the small reverse lobe of a typical antenna with quarter
wavelength elements.

I stumbled across it when doing some modeling with ELNEC, the
predecessor of EZNEC, and originally thought it was an error in the
program. You'll see it in a plot from the Cardioid.EZ EZNEC example
file (which is also included with the demo program), and a brief
explanation in the corresponding Antenna Notes file.

A theoretically infinite front/back ratio can be achieved by
modification of the base currents. The amount of modification required
depends on the length and diameter of the elements. Only a small
modification is needed if elements are a quarter wavelength high and
small diameter, but in that case, real world effects will probably
have at least as much and likely more of an effect on the front/back
than the current distribution phenomenon. Rather drastic modification
is required of the base currents of elements approaching a half
wavelength high, however, as elaborated in the "Technical
Correspondence" piece.

Roy Lewallen, W7EL


Richard Harrison March 22nd 05 09:44 PM

Art Unwin wrote:
"I have just come to realize that if one drew a polygon of element
phases in an array and all elements were 180 degrees to its companion
element and excluding its driven element, the max gain and max front to
back will occur at the dame frequency!"

I missed a step or two between the polygon`s resultant and coincidence
of maximum gain with maximum front to back ratio.

A vector has both magnitude and direction. A scalar quantity has only
magnitude.

Vectors are represented by arrows whose lengths correspond to their
magnitudes. Directions of the arrows correspond to the directions of the
vectors.

The combined effect of two or more vectors is called a resultant. A
resultant can be found by a geometrical rule called vector addition.
Vectors are placed head to tail while maintaining their magnitudes and
directions. The resultant is a vector drawn from the tail of the first
vector to the head of the final vector. Any number of vectors can be
added by the head to tail method. These can create a polygon of vectors.

If only two vectors are to be added at a time, they can produce a
resultant by the parallelogram method. Two sides of the parallelogram
are formed by the two vectors connected at their tails. Parallel same
length sides are added to form the parallelogram. A diagonal emanating
from the junction of the two vectors forms the resultant

When one vector (call it c) is the resultant of two vectors (call them
and b) we can say that a and b are components of c. Any given vector can
be resolved into an infinite number of pairs. Usually we find it
convenient to resolve a vector into a pair which are at right angles
with each other. Then we can use the Pythagorean theorem (c squared = a
squared + b squared) to find the magnitude of the resultant (c).

In a right triangle in which two sides are perpendicular, all the
trignometric functions are useful in determining the lengths and
directions of its sides.

Best regards, Richard Harrison, KB5WZI


[email protected] March 26th 05 01:48 AM


"Richard Harrison" wrote in message
...
Art Unwin wrote:
"I have just come to realize that if one drew a polygon of element
phases in an array and all elements were 180 degrees to its companion
element and excluding its driven element, the max gain and max front to
back will occur at the dame frequency!"

I missed a step or two between the polygon`s resultant and coincidence
of maximum gain with maximum front to back ratio.

snip

What exactly did you miss?
Was it something I missed or an error or a assumption that I made?
What followed the above statement was a treatise regarding the formation
of a polygon that had been described earlier, but I did not see any
relevance or connection
to what you porport that you or I didn't understand or missed!
Regards
Art





..

Best regards, Richard Harrison, KB5WZI




Richard Clark March 26th 05 05:11 PM

On Sat, 26 Mar 2005 01:48:44 GMT, "
wrote:
I missed a step or two between the polygon`s resultant and coincidence
of maximum gain with maximum front to back ratio.

snip

What exactly did you miss?


Hi Art,

The answer to your question is found in Richard's question you
answered.

73's
Richard Clark, KB7QHC


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