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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)

[email protected] March 4th 05 05:41 AM

Max F/b and max gain at same freq.
 
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 6th 05 09:52 PM

On Fri, 04 Mar 2005 05:41:29 GMT, "
wrote:

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


OK Art,

This posting has been swinging in the wind for a couple of days now.
Given that you threw your frustration in my face that no one shows any
interest in it. Stop blaming them for their failure to recognize your
genius and get down from Calvary - blame me instead! ;-)

WTF do you mean by
if one drew a polygon of element phases in a array

and WTF should we care?

73's
Richard Clark, KB7QHC

[email protected] March 7th 05 01:02 AM

...
On Fri, 04 Mar 2005 05:41:29 GMT, "
wrote:

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


OK Art,

This posting has been swinging in the wind for a couple of days now.
Given that you threw your frustration in my face that no one shows any
interest in it.


Not frustration It just shows that no one is aware of any mention of it
in antenna books per my question.We have many experts and antenna book
owners among the group and if one had seen mention of it they would
have replied
It would appear that I have come across something new.
How about that ?



WTF do you mean by
if one drew a polygon of element phases in a array

and WTF should we care?


If your interest is in provoking auguments rather than exploring the
"new " then you will have to go else where. I know who you are and
what you are by personal experience so don't expect that your
tactics will work with me. If you are civil and stick to the subject at
hand then we have communication otherwise forget it.

The posting on TOA has hosted a lot of comment besides yours
and another that point to it as meaningless.Actually
Mac has now added very interesting info that has even got the
attention of Reg which is in my book shows that there is really
an interest which is also evidenced by the extra large number
of postings.
End of discussion

Art KB9MZ



73's
Richard Clark, KB7QHC




Richard Clark March 7th 05 01:21 AM

On Mon, 07 Mar 2005 01:02:18 GMT, "
wrote:

It would appear that I have come across something new.


No wonder no one came to this party.

73's
Richard Clark, KB7QHC

Wes Stewart March 7th 05 01:50 AM

On Sun, 06 Mar 2005 17:21:26 -0800, Richard Clark
wrote:

|On Mon, 07 Mar 2005 01:02:18 GMT, "
wrote:
|
|It would appear that I have come across something new.
|
|No wonder no one came to this party.

It could be new, but he can't tell us about, so how do we know?


[email protected] March 7th 05 03:46 AM

Wes,
I described a polygon of element phases where pairs of elements were equal
and opposite and where the director was either alone or was joined by
another
element of the same phase. This polygon aproach was used often before the
computor era A polygon as described above not only makes for a wide single
direction lobe but enforces among other things the same frequency for both
parameters i.e. gain and f/b
If such a polygon can be drawn as stated above it shows that it is possible.
I don't see how anything can be added to the above to emphasise the point
I am making which is why I asked if anybody knew of any book references to
the above.
If you are not aware of the phase polygon aproach I can find you a
reference. or, if you prefer;
a simulated diagram of a polygon that illustrates my point .
If that is beyond your ken I could also mail to you a computor compilation
of
phase and currents of an array that also illustrates my point.
But my main question still remains a pointer to a technical article that
discusses the possibility or impossibility of what I have stated.
If you have a deeper interest in the subject I could supply
to you alone the whole computor model of such an antenna
and a photograph of the actual antenna which is for 20 meters.
All I would ask for is complete privacy of what I provide as I
have a further pursuit connected with the above.
Regards
Art


Stewart" *n7ws*@ yahoo.com wrote in message
...
On Sun, 06 Mar 2005 17:21:26 -0800, Richard Clark
wrote:

|On Mon, 07 Mar 2005 01:02:18 GMT, "
wrote:
|
|It would appear that I have come across something new.
|
|No wonder no one came to this party.

It could be new, but he can't tell us about, so how do we know?




Richard Harrison March 7th 05 06:43 PM

Art Unwin wrote:
"But my main question still remains a pointer to a technical article
that discusses the possibility or impossibility of what I have stated."

I don`t get the question, but it seems to me, Art wants to know if
anyone has written of a method to make maximum gain correspond with
maximum front-to-back ratio in a Yagi.

I haven`t seen it. There is a third factor in the compromise, 50-ohm
feedpoint (or some other convenient impedance).

Kraus gives the Yagi-Uda story in "Antennas" There has been much
experimentation and the tradeoffs still exist. Don`t close the patent
office yet. Almost everything can be improved. Art may be implying that
he thinks he has a way to make a better Yagi. I hope so.

The "ARRL Antenna Book" is a good place to see where the art was at the
time of publication. The Antenna Book devotes a chapter to the Yagi, No.
11 in my 19th edition. The directional patterns show a pair of
troublesome sidelobes in addition to the mainlobe. It`s the sidelobes
which are suppressed at the sacrifice of a little gain. Parasitic
arrays are close-spaced for significant excitation. Close-spacing means
close-coupling which lowers the drivepoint impedance. It`s a tradeoff
again because low impedance eventually limits the antenna`s efficiency.

Best regards, Richard Harrison, KB5WZI


Roy Lewallen March 7th 05 07:36 PM

There's yet another tradeoff -- bandwidth, of both the pattern and the
impedance. Close spacing, in particular, reduces the range of
frequencies over which the pattern is acceptable ("acceptable" being in
itself subject to compromise) and over which the SWR is acceptable. But
close spaced or not, it's much easier to tweak a design to work
perfectly at a single frequency than make one that will retain some
semblance of that perfection over a wider range of frequencies.

Roy Lewallen, W7EL

Richard Harrison wrote:
Art Unwin wrote:
"But my main question still remains a pointer to a technical article
that discusses the possibility or impossibility of what I have stated."

I don`t get the question, but it seems to me, Art wants to know if
anyone has written of a method to make maximum gain correspond with
maximum front-to-back ratio in a Yagi.

I haven`t seen it. There is a third factor in the compromise, 50-ohm
feedpoint (or some other convenient impedance).

Kraus gives the Yagi-Uda story in "Antennas" There has been much
experimentation and the tradeoffs still exist. Don`t close the patent
office yet. Almost everything can be improved. Art may be implying that
he thinks he has a way to make a better Yagi. I hope so.

The "ARRL Antenna Book" is a good place to see where the art was at the
time of publication. The Antenna Book devotes a chapter to the Yagi, No.
11 in my 19th edition. The directional patterns show a pair of
troublesome sidelobes in addition to the mainlobe. It`s the sidelobes
which are suppressed at the sacrifice of a little gain. Parasitic
arrays are close-spaced for significant excitation. Close-spacing means
close-coupling which lowers the drivepoint impedance. It`s a tradeoff
again because low impedance eventually limits the antenna`s efficiency.

Best regards, Richard Harrison, KB5WZI


[email protected] March 7th 05 08:36 PM

Yes Richard that is exactly the case.
I have a case where F/B is at
the same frequency as max gain and I have not come across that before
so I asked those well versed in antenna design if this had been discussed
before,
Yes, it is an alternative to a yagi but nowhere as simplistic to build, for
that the yagi is hard to beat, As it happens the feed point impedance of
less than 2:1
at 50 ohms is easily obtained across the 20 meter band , the primary design
It compares to a 60 foot boom yagi and change of feed point can produce
higher impedance
but its beam width is not as narrow , the
elevation angle for max gain (TOA) is 10 degrees which is some what lower
than the norm
.. I have been working on this design for some time now and have all the
parts
made for a actual antenna, The winter has been
very harsh in the midwest but with good weather tomorrow I should be able
to put it together and put it up as there is no need to use the prop pitch
rotor
which is hard to install in cold or blustery weather as I get older.
.. The turning radius by the way is somewhat less
than a tight two element yagi and is of a design where frontal side lobes
have not
come into play. Because of mechanical difficulties I do not see it replacing
a yagi
but that was not the intent in the first place, I just like to explore and
experiment
and try to work from first principles rather than be tied to well known
paths of the past
As a point of interest Roy I use 300 segments per halfwave length. to double
check
my designs but who knows ,it may still be a case of garbage! If the antenna
is not
broken then I have not tried hard enough and I have broken many antennas in
my time
As a point of interest I would direct you to past postings where I describe
close coupling
to the driven element to attain for an impedance of choice and can be
adapted
for use in any array.You may remember Roy checking out one of my designs on
his page
( 13 elements on a 60 or 80 foot boom ) ere coupling achieved the 50 oihm
feed
as desired

Regards
Art


[email protected] March 8th 05 01:06 AM

Roy
I understand where you are coming from but your points are all based
around a Yagi with standard feeds !. In my past postings over the years
I have pointed out other methods of feeds that not only broaden the
bandwidth
but uses a high impedance, this done by extreme "close" coupling,
in the order of a inch or so upwards to about 12 inches which I also wrote
up
in a patent some years ago just for kicks.
I myself ,choose not to go less than 26 ohms when designing. and tho I can
make them with very high impedance it is not really required as the ham
bands
are quite narrow. Where I really concentrate upon is to move away
from "mutual" coupling ( what ever that means) which is commonly described
with yagi antennas, to "close" coupling designs which is an entirely new
world when
dealing with feed impedances, as Richards post on coupling some months ago
described so much better than I have done.

Regards
Art



"Roy Lewallen" wrote in message
...
There's yet another tradeoff -- bandwidth, of both the pattern and the
impedance. Close spacing, in particular, reduces the range of frequencies
over which the pattern is acceptable ("acceptable" being in itself subject
to compromise) and over which the SWR is acceptable. But close spaced or
not, it's much easier to tweak a design to work perfectly at a single
frequency than make one that will retain some semblance of that perfection
over a wider range of frequencies.

Roy Lewallen, W7EL

Richard Harrison wrote:
Art Unwin wrote:
"But my main question still remains a pointer to a technical article
that discusses the possibility or impossibility of what I have stated."

I don`t get the question, but it seems to me, Art wants to know if
anyone has written of a method to make maximum gain correspond with
maximum front-to-back ratio in a Yagi.
I haven`t seen it. There is a third factor in the compromise, 50-ohm
feedpoint (or some other convenient impedance).

snip.

Best regards, Richard Harrison, KB5WZI




Tom Ring March 8th 05 01:12 AM


wrote:

bandwidth
but uses a high impedance, this done by extreme "close" coupling,
in the order of a inch or so upwards to about 12 inches which I also wrote
up
in a patent some years ago just for kicks.


You mean like like the K1FO design? Or something else?

tom
K0TAR

[email protected] March 8th 05 01:37 AM

I do not know of any designs
by K1FO, can you elaborate?
Art
"Tom Ring" wrote in message
. ..

wrote:

bandwidth
but uses a high impedance, this done by extreme "close" coupling,
in the order of a inch or so upwards to about 12 inches which I also
wrote up
in a patent some years ago just for kicks.


You mean like like the K1FO design? Or something else?

tom
K0TAR




Tom Ring March 8th 05 01:46 AM

wrote:

I do not know of any designs
by K1FO, can you elaborate?
Art


The number of his antenna designs is quite large, but all the "modern"
ones, 1990 (maybe earlier) and later, use a very close coupled first and
second director. It is a virtual trademark of his designs. I would
suggest googling for K1FO, and look at what's out there.

Or look in the ARRL antenna books.

tom
K0TAR


Buck March 8th 05 03:58 AM

On Fri, 04 Mar 2005 05:41:29 GMT, "
wrote:

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



Art,

Your description is too vague for someone who doesn't have some form
of reference (maybe this is a continuation of a discussion from
elsewhere?) Anyway, since a polygon is any shape with more than two
sides in which all sides and angles are equal, this leaves a rather
wide variety of shapes. Is this referencing vertical or horizontal
elements? With the 180 degree element comparisons, I assume you are
dealing with an equal number of sides on each polygon, or in case of
verticals, at least an equal number of elements..


Is there any more you can tell us?


--
73 for now
Buck
N4PGW

[email protected] March 8th 05 05:29 AM


"Buck" wrote in message
...
On Fri, 04 Mar 2005 05:41:29 GMT, "
wrote:

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



Art,

Your description is too vague for someone who doesn't have some form
of reference (maybe this is a continuation of a discussion from
elsewhere?) Anyway, since a polygon is any shape with more than two
sides in which all sides and angles are equal,



It does! then I have used the incorrect term.

In a yagi type diagram you can calculate the current and phase of each
elemrnt
but what one is interested in is the summation of the whole array and you
can do this
in the same way as you would do a vector diagram of forces.
With the yagi array you would first start with the reflector and draw to
scale a line
reflecting both phase angle and magnitude. You then add lines in cosecutive
order for all other elements in the array. The end of this 'toe to tail'
some what
erratic line will finish up some distance from the starting point,
but this distance, if drawn, represents the phase and magnitude
of the array as a whole. As a former mechanical engineer
but now nothing ,I was taught the term "polygon of forces" which is a
cumulative
vector array but the shape did not necessarily consist of "equal "sides as
you stated..
But then I am English born and it is known that Americans completely messed
up the Elizabethan era language which a true cockney still adheres to ,
where as
others in the same country have learned to talk in such a way it sounds as
if they
are trying to retain a marble in their mouth.without swallowing it.
Regards
Art


this leaves a rather
wide variety of shapes. Is this referencing vertical or horizontal
elements? With the 180 degree element comparisons, I assume you are
dealing with an equal number of sides on each polygon, or in case of
verticals, at least an equal number of elements..


Is there any more you can tell us?


--
73 for now
Buck
N4PGW




Buck March 8th 05 03:13 PM

On Tue, 08 Mar 2005 05:29:03 GMT, "
wrote:


"Buck" wrote in message
.. .
On Fri, 04 Mar 2005 05:41:29 GMT, "
wrote:

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



Art,

Your description is too vague for someone who doesn't have some form
of reference (maybe this is a continuation of a discussion from
elsewhere?) Anyway, since a polygon is any shape with more than two
sides in which all sides and angles are equal,



It does! then I have used the incorrect term.

In a yagi type diagram you can calculate the current and phase of each
elemrnt
but what one is interested in is the summation of the whole array and you
can do this
in the same way as you would do a vector diagram of forces.
With the yagi array you would first start with the reflector and draw to
scale a line
reflecting both phase angle and magnitude. You then add lines in cosecutive
order for all other elements in the array. The end of this 'toe to tail'
some what
erratic line will finish up some distance from the starting point,
but this distance, if drawn, represents the phase and magnitude
of the array as a whole. As a former mechanical engineer


I am not ... You may be using a term familiar to your trade and I am
unfamiliar with. I would be a layman in respect ... that could be
the misunderstanding. I was trying to envision the antenna you were
describing... can you imagine what I was seeing in my mind?

:)


but now nothing ,I was taught the term "polygon of forces" which is a
cumulative
vector array but the shape did not necessarily consist of "equal "sides as
you stated..
But then I am English born and it is known that Americans completely messed
up the Elizabethan era language which a true cockney still adheres to ,
where as
others in the same country have learned to talk in such a way it sounds as
if they
are trying to retain a marble in their mouth.without swallowing it.


Actually, I like the UK accents. As I believe my misunderstanding has
nothing to do with the queen's English, but rather techno-speak for
your trade, I will pack up my octagon shaped array of dipole antennas
and gracefully move on to another topic.
Good luck and I'll catch you in another thread.

Buck


Regards
Art


--
73 for now
Buck
N4PGW

Gene Fuller March 8th 05 03:46 PM

Buck,

I agree with you. I too cannot figure out what Art is trying to say.
However, your response containing the definition of a polygon is
incorrect. There is no requirement for equal sides or angles.

73,
Gene
W4SZ

Buck wrote:

Art,

Your description is too vague for someone who doesn't have some form
of reference (maybe this is a continuation of a discussion from
elsewhere?) Anyway, since a polygon is any shape with more than two
sides in which all sides and angles are equal, this leaves a rather
wide variety of shapes.


Wes Stewart March 8th 05 07:13 PM

On Tue, 08 Mar 2005 15:46:24 GMT, Gene Fuller
wrote:

Buck,

I agree with you. I too cannot figure out what Art is trying to say.
However, your response containing the definition of a polygon is
incorrect. There is no requirement for equal sides or angles.

73,
Gene
W4SZ


Right. Webster says a plane polygon is a closed figure bounded by
straight lines. No mention of number, length or angles, although it
seems to me that you best have at least three sides, although Art
might have a new polyglot method that uses only two. [g]


Buck wrote:

Art,

Your description is too vague for someone who doesn't have some form
of reference (maybe this is a continuation of a discussion from
elsewhere?) Anyway, since a polygon is any shape with more than two
sides in which all sides and angles are equal, this leaves a rather
wide variety of shapes.



Roy Lewallen March 8th 05 08:58 PM

A polygon which has equal sides and angles is a special case of polygon,
known as a "regular polygon".

Roy Lewallen, W7EL

Wes Stewart wrote:
On Tue, 08 Mar 2005 15:46:24 GMT, Gene Fuller
wrote:


Buck,

I agree with you. I too cannot figure out what Art is trying to say.
However, your response containing the definition of a polygon is
incorrect. There is no requirement for equal sides or angles.

73,
Gene
W4SZ



Right. Webster says a plane polygon is a closed figure bounded by
straight lines. No mention of number, length or angles, although it
seems to me that you best have at least three sides, although Art
might have a new polyglot method that uses only two. [g]


Buck wrote:


Art,

Your description is too vague for someone who doesn't have some form
of reference (maybe this is a continuation of a discussion from
elsewhere?) Anyway, since a polygon is any shape with more than two
sides in which all sides and angles are equal, this leaves a rather
wide variety of shapes.




Buck March 8th 05 10:43 PM

On Tue, 08 Mar 2005 12:58:06 -0800, Roy Lewallen
wrote:

A polygon which has equal sides and angles is a special case of polygon,
known as a "regular polygon".


I stand corrected....



Roy Lewallen, W7EL


--
73 for now
Buck
N4PGW

[email protected] March 9th 05 03:57 PM

I need to add a clarifier to this post.
If the phases and and magnitudes of the paired elements
are exactly the same, then radiation to the rear is zero.
In the real world this is difficult if not impossible to do.
It certainly cannot be done with a yagi unless possibly,
when elements are contorted to ensure pure resistance
feed at the appropiate frequency
However, what is possible with a alternate design is to
have maximum front to back at max gain when the max
gain is constant over a range of frequencies such that
the max front to back which is usually a peak,
can appear at a point where the gain is still at a
maximum.

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



" 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




[email protected] March 9th 05 06:21 PM


Gene Fuller wrote:
Buck,

I agree with you. I too cannot figure out what Art is trying to say.


Don't feel like the lone ranger...I've been following this
thread for a week, and I still don't have a clue what he
is trying to describe.

73,
Gene
W4SZ

Buck wrote:

Art,

Your description is too vague for someone who doesn't have some

form
of reference (maybe this is a continuation of a discussion from
elsewhere?)


What he said....


Dave Platt March 9th 05 06:48 PM

In article k1FXd.109090$tl3.58979@attbi_s02,
wrote:

I need to add a clarifier to this post.
If the phases and and magnitudes of the paired elements
are exactly the same, then radiation to the rear is zero.
In the real world this is difficult if not impossible to do.
It certainly cannot be done with a yagi unless possibly,
when elements are contorted to ensure pure resistance
feed at the appropiate frequency


You might want to take a look at systems which use two or more
directly-driven radiators (rather than a driven radiator and a
parasitic element), with a chosen physical offset and phase
offset between them.

This is a classic way to get a 180-degree-only pattern. It's often
used with vertical antennas. I took a quick glance at Arnold Bailey's
"TV and other receiving antennas" text (written in 1950) and he shows
a similar sort of antenna using two horizontal half-wave dipoles,
connected together via a transmission line and fed at the center of
the rear dipole. Very clean 180-degree pattern.

This sort of arrangement might be a good starting point for your "move
all of the energy from the rear lobes into the forward half" quest.

You might be able to combine this sort of dual-driven-radiator
unidirectional beamer with additional parasisic elements, to create
more forward gain. A bunch of directors out in in the front would be
the obvious choice for a first experiment

There's a gotcha to this, though... the 180-degree pattern from a pair
of phased radiators depends on the radiators being driven with equal
currents, which (in this simple arrangement) requires that they have
equal feedpoint impedances. Stick a bunch of parasitic directors out
in front, and the feedpoint impedance of the forward radiator is going
to change (drop, most likely) and affect the current relationship
between the two radiators, and thus mess up the pattern.

I can think of a couple of possible ways to compensate for this:

- Matching network at the forward radiator (maybe shorten it a bit and
use a hairpin inductor match)?

- Tapered transmission-line section between the two radiators?

- Try installing some parasitic elements behind the rear driven
element... possibly in a corner-reflector arrangement? This might
tweak the rear element's feedpoint Z enough to make it easier to
match the two, might also help suppress any rear lobes which
develop as a result of the mismatch.

I have my doubts as to whether all of this work will pay off with
enough of an increase in forward gain, F/B ratio, cleanliness of
pattern, reduction in lobes, broadening of bandwidth, etc. to be worth
the effort over a classic Yagi, but I'm certainly willing to be proven
wrong.

--
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 9th 05 06:55 PM

Buck
If your background is not in science then it is natural that you would
have difficulty with what I stated. If your background was in science
then this stuff would be studied in 101 i.e from first principles.
With a firm understanding of scalar quantities you are then fully armed
to deal with antenna "curl" and other interesting facets of antennas.
It would appear to me that many of this group do not have a science
background but have got by in life because of a good memory and where
knoweledge of first principles is not a requirement.
Ofcourse age can take that advantage away which appears to have happened
with past engineers of this group.........amazing!

Regards
Art



"Buck" wrote in message
...
On Tue, 08 Mar 2005 05:29:03 GMT, "
wrote:


"Buck" wrote in message
. ..
On Fri, 04 Mar 2005 05:41:29 GMT, "
wrote:

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



Art,

Your description is too vague for someone who doesn't have some form
of reference (maybe this is a continuation of a discussion from
elsewhere?) Anyway, since a polygon is any shape with more than two
sides in which all sides and angles are equal,



It does! then I have used the incorrect term.

In a yagi type diagram you can calculate the current and phase of each
elemrnt
but what one is interested in is the summation of the whole array and you
can do this
in the same way as you would do a vector diagram of forces.
With the yagi array you would first start with the reflector and draw to
scale a line
reflecting both phase angle and magnitude. You then add lines in
cosecutive
order for all other elements in the array. The end of this 'toe to tail'
some what
erratic line will finish up some distance from the starting point,
but this distance, if drawn, represents the phase and magnitude
of the array as a whole. As a former mechanical engineer


I am not ... You may be using a term familiar to your trade and I am
unfamiliar with. I would be a layman in respect ... that could be
the misunderstanding. I was trying to envision the antenna you were
describing... can you imagine what I was seeing in my mind?

:)


but now nothing ,I was taught the term "polygon of forces" which is a
cumulative
vector array but the shape did not necessarily consist of "equal "sides as
you stated..
But then I am English born and it is known that Americans completely
messed
up the Elizabethan era language which a true cockney still adheres to ,
where as
others in the same country have learned to talk in such a way it sounds as
if they
are trying to retain a marble in their mouth.without swallowing it.


Actually, I like the UK accents. As I believe my misunderstanding has
nothing to do with the queen's English, but rather techno-speak for
your trade, I will pack up my octagon shaped array of dipole antennas
and gracefully move on to another topic.
Good luck and I'll catch you in another thread.

Buck


Regards
Art


--
73 for now
Buck
N4PGW




[email protected] March 9th 05 08:25 PM

Good point ! But I have already checked this out even
wit
"Dave Platt" wrote in message
...
In article k1FXd.109090$tl3.58979@attbi_s02,
wrote:

I need to add a clarifier to this post.
If the phases and and magnitudes of the paired elements
are exactly the same, then radiation to the rear is zero.
In the real world this is difficult if not impossible to do.
It certainly cannot be done with a yagi unless possibly,
when elements are contorted to ensure pure resistance
feed at the appropiate frequency


You might want to take a look at systems which use two or more
directly-driven radiators (rather than a driven radiator and a
parasitic element), with a chosen physical offset and phase
offset between them.e phase


Good point! I tried this with a radiator that was of opposite phase
but the origanal feed method still came out best. That method has
not been tested for other bands

This is a classic way to get a 180-degree-only pattern. It's often
used with vertical antennas. I took a quick glance at Arnold Bailey's
"TV and other receiving antennas" text (written in 1950) and he shows
a similar sort of antenna using two horizontal half-wave dipoles,
connected together via a transmission line and fed at the center of
the rear dipole. Very clean 180-degree pattern.

This sort of arrangement might be a good starting point for your "move
all of the energy from the rear lobes into the forward half" quest.

You might be able to combine this sort of dual-driven-radiator
unidirectional beamer with additional parasisic elements, to create
more forward gain. A bunch of directors out in in the front would be
the obvious choice for a first experiment


But that defeats the issue where boom length can be erradicatred as an
issue.


There's a gotcha to this, though... the 180-degree pattern from a pair
of phased radiators depends on the radiators being driven with equal
currents, which (in this simple arrangement) requires that they have
equal feedpoint impedances. Stick a bunch of parasitic directors out
in front, and the feedpoint impedance of the forward radiator is going
to change (drop, most likely) and affect the current relationship
between the two radiators, and thus mess up the pattern.

I can think of a couple of possible ways to compensate for this:

- Matching network at the forward radiator (maybe shorten it a bit and
use a hairpin inductor match)?


I always require a near 50 ohm feed that does not require matching.




- Tapered transmission-line section between the two radiators?

- Try installing some parasitic elements behind the rear driven
element... possibly in a corner-reflector arrangement? This might
tweak the rear element's feedpoint Z enough to make it easier to
match the two, might also help suppress any rear lobes which
develop as a result of the mismatch.


A corner reflector does not have true reflectors as all elements
are of the same length and equaly spaced, they also carry low
but similar current flow.

I have my doubts as to whether all of this work will pay off with
enough of an increase in forward gain, F/B ratio, cleanliness of
pattern, reduction in lobes, broadening of bandwidth, etc. to be worth
the effort over a classic Yagi, but I'm certainly willing to be proven

wrong.
This cannot beat the simplicity of a yagi.

Good for you Dave, you have an open mind despite the massive
studies over the years. But there is no way of convincing the masses
who demand expensive trials and measurements which if conclusive ,changes
the mode of attack to the method of testing, This is usually the method
taken
by even educated engineers who with huge experience in the field refuse to
believe
they could have passed over something.
As for this antenna it is purely to satisfy me.
Regards
Art
..

--
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!




Cecil Moore March 9th 05 09:17 PM

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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[email protected] March 10th 05 12:46 AM

Interesting question Cecil, and I suspect the answer is yes
if you are refering to the array pointing upwards.
If you are referring to turning the array sideways i.e vertical
polarisation then I doubt
rear radiation could be zero because the earth has more influence over
vertical
polarisation compared to horizontal at one wave length high.
For instance pairs of elements could not have equality.
You can ofcourse accomplish such if the array was reflective as with a dish
but not with normal coupling and resonances where the focussing aproach
is absent.
Best regards
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 Harrison March 10th 05 02:17 AM

Dave Platt wrote:
"This is a classic way (2-element quarter-cycle phased array) to get 180
degree-only pattern. It`s often used with vertical antennas. I took a
look at Arnold Bailey`s :TV and other receiving antennas" text (written
in 1950) and he shows a similar sort of antenna using two horizontal
half-wave dipoles, connected together via a transmission line
(open-wire) and fed at the center of the rear dipole. Very clean 180
degree-only pattern."

Yes. The directional patterns on pages 477 and 478 are excellent.

This antenna also appears in Bailey`s catalog of antennas on page 521 as
"Half-Wave Antenna and Connected Reflector". Its resistance at center
frequency is 50 ohms where its gain is 4 dBd. Bandwidth is 60% for 3 dB
down.

I wonder why everybody isn`t using this antenna?

Best regards, Richard Harrison, KB5WZI


Richard Clark March 10th 05 03:13 AM

On Wed, 9 Mar 2005 20:17:04 -0600, (Richard
Harrison) wrote:

This antenna also appears in Bailey`s catalog of antennas on page 521 as
"Half-Wave Antenna and Connected Reflector". Its resistance at center
frequency is 50 ohms where its gain is 4 dBd. Bandwidth is 60% for 3 dB
down.

I wonder why everybody isn`t using this antenna?


Hi Richard,

This design (with references to the 1930s) from Bailey (given a full
chapter treatment) leads to its kin in Krauss' W8JK Antenna (which
probably answers your question, Richard).

73's
Richard Clark, KB7QHC

[email protected] March 10th 05 03:13 AM

This sounds like a switchable three element array that I once used
for CB ( As an alien I wasn't allowed a amateur license)
I copied the design from a commercial antenna and with a switch box
was able to point it in any one of three directions. The coax between them
was a 1/4 wavelength I believe but the physical distance was much less than
that.
I believe I lost it when it iced up and broke the topsides of the vertical
dipoles..
Regards
Art



"Richard Harrison" wrote in message
...
Dave Platt wrote:
"This is a classic way (2-element quarter-cycle phased array) to get 180
degree-only pattern. It`s often used with vertical antennas. I took a
look at Arnold Bailey`s :TV and other receiving antennas" text (written
in 1950) and he shows a similar sort of antenna using two horizontal
half-wave dipoles, connected together via a transmission line
(open-wire) and fed at the center of the rear dipole. Very clean 180
degree-only pattern."

Yes. The directional patterns on pages 477 and 478 are excellent.

This antenna also appears in Bailey`s catalog of antennas on page 521 as
"Half-Wave Antenna and Connected Reflector". Its resistance at center
frequency is 50 ohms where its gain is 4 dBd. Bandwidth is 60% for 3 dB
down.

I wonder why everybody isn`t using this antenna?

Best regards, Richard Harrison, KB5WZI




[email protected] March 10th 05 05:18 AM


wrote:
Buck
If your background is not in science then it is natural that you

would
have difficulty with what I stated. If your background was in science
then this stuff would be studied in 101 i.e from first principles.


Uhhh... In my case, science had nothing to do with it.
It was my lack of mindreading skills. From your description,
there was no way I could even come close to visualizing what
you had in mind. I never even got close to the science part...
Can you be a bit more vague in your descriptions *if* possible?
Maybe that would help to overcome my problem...:/
I don't have "coast2coastAM" quality mindreading skills...
Nada for remote viewing, etc, also...
I have heard HAARP though, and I stayed in a holiday inn xpress
last Dec, in Hot Springs Ar...
They are now discussing simple close spaced phased arrays, but
how this works in with polygons, equal sided or not, max gain
with max f/b, etc, beats the heck out of me...
Like the old fart with all the dogs in "Moonstruck",
I'm confused...
But, carry onward...The fog ain't half dense yet...

MK


[email protected] March 10th 05 05:29 AM

I wonder why everybody isn`t using this antenna? .......

Because a rotatable yagi is usually better in
most cases. But people do run those...Probably
more set them up to be switchable, or even steerable,
instead of just one direction. I ran phased dipoles
on 40m, and they worked quite well. I switched
direction by changing feedline lengths. Some
use the "l/c" phaser boxes...But I can throw up
my A4 real quick, and do about 7 dbd?? or so, in any
direction. Kinda makes the phased dipoles a mute
point, except for maybe the lower bands.
If you connect with a harness, which I didn't do,
you need to transpose the feed for the 2nd antenna.
IE: reverse the feedline...That ladder line will
have a single twist if I remember correctly.

MK


Wes Stewart March 10th 05 05:46 AM

On 9 Mar 2005 21:18:49 -0800, wrote:


wrote:
Buck
If your background is not in science then it is natural that you

would
have difficulty with what I stated. If your background was in science
then this stuff would be studied in 101 i.e from first principles.


Uhhh... In my case, science had nothing to do with it.
It was my lack of mindreading skills. From your description,
there was no way I could even come close to visualizing what
you had in mind. I never even got close to the science part...
Can you be a bit more vague in your descriptions *if* possible?
Maybe that would help to overcome my problem...:/
I don't have "coast2coastAM" quality mindreading skills...
Nada for remote viewing, etc, also...
I have heard HAARP though, and I stayed in a holiday inn xpress
last Dec, in Hot Springs Ar...


We stayed in a campground in Hot Springs last summer and later went
through Roswell, NM, but it's not helping me either. [grin]


Wes

[email protected] March 10th 05 04:23 PM

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




Jerry Martes March 10th 05 06:22 PM


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






[email protected] March 10th 05 06:33 PM

Thank you for your polite response. Hopefully the written description of my
thought processes will satisfy a few tho not probably all
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 10th 05 07:05 PM

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 and, for all your many postings, I've yet to see any
data that show you've done something extraordinary. I can only speak for
myself, but suspect that some others might be in the same boat.

Roy Lewallen, W7EL

wrote:
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 . . .


[email protected] March 10th 05 08:30 PM

Well we shall see Roy, but I find it hard to believe that you
with your antenna knoweledge plus being an engineer do
not understand vectors. I can only believe that American
education skirts this issue but then all of my engineering books
including those by known antenna engineering gurus dwell
upon it as well as authors in subjects such as classical
electromechanical fields.
Frankly, I see you as an expert in the field with long experience
and as such feel that all is known about antennas and you
cannot contemplate the idea that this is not so and you of all
people missed the importance of what I stated. This is very much
like the editing of a movie when it is found that the most interesting parts
finished up on the cutting room floor as it was deemed insignificant.
If what I state is confirmed then I will present it to the Radcom people
since QST is now firmly in the hands of experts that believe all is known
and has lost touch with the experimentor to which many of the ham
fraternity still belong.
I am aware that to some I am a poor communicator, but I went out of
my way to clearly inform people on the subject of vectors and
carefully tied the subject back to my original post such that those
with a non science background can follow step by step the trend of
thought of my original posting.
Regards
Art

"Roy Lewallen" wrote in message
...
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 and, for all your many postings, I've yet to see any data
that show you've done something extraordinary. I can only speak for
myself, but suspect that some others might be in the same boat.

Roy Lewallen, W7EL

wrote:
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 . . .




Wes Stewart March 10th 05 08:55 PM

On Thu, 10 Mar 2005 20:30:15 GMT, "
wrote:

Well we shall see Roy, but I find it hard to believe that you
with your antenna knoweledge plus being an engineer do
not understand vectors.


This in response to Roy's post that states in part:

"...but the reason I don't appreciate your ideas isn't because I don't
understand vectors."

[snip]


I am aware that to some I am a poor communicator,


Here is the problem, simply stated.


but I went out of
my way to clearly inform people on the subject of vectors and
carefully tied the subject back to my original post such that those
with a non science background can follow step by step the trend of
thought of my original posting.


We don't need a long convoluted pseudo treatise on vectors, give us
some raw meat that simply states what it is that you're trying to/are
doing.

And, I have to ask since it is the subject, why is necessary or
important to have max gain and F/B at the same frequency?

[email protected] March 10th 05 10:56 PM

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
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.

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
Regards
Art...KB9MZ....XG

"Wes Stewart" wrote in message
...
On Thu, 10 Mar 2005 20:30:15 GMT, "
wrote:

Well we shall see Roy, but I find it hard to believe that you
with your antenna knoweledge plus being an engineer do
not understand vectors.


This in response to Roy's post that states in part:

"...but the reason I don't appreciate your ideas isn't because I don't
understand vectors."

[snip]


I am aware that to some I am a poor communicator,


Here is the problem, simply stated.


but I went out of
my way to clearly inform people on the subject of vectors and
carefully tied the subject back to my original post such that those
with a non science background can follow step by step the trend of
thought of my original posting.


We don't need a long convoluted pseudo treatise on vectors, give us
some raw meat that simply states what it is that you're trying to/are
doing.

And, I have to ask since it is the subject, why is necessary or
important to have max gain and F/B at the same frequency?





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