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Jim Kelley July 22nd 03 11:44 PM



Richard Harrison wrote:

Cecil, W5DXP wrote:
"That`s where you are wrong."

This argument has evoked plain statements, i.e., "When waves cease to
exist, they are forced to give up their intrinsic energy." And, "Waves
don`t cease to exist."

The statements need qualifications. Perhaps waves "cancel" without
ceasing to exist.


In the case we've been discussing the waves in fact never exist, except
on paper. This is because, for example, V3 and V4 cancel at the very
point at which they would begin to propagate. Cancellation precludes
their existance because they cancel for any time element (after the
transient period) and for every spacial element one can enter into the
equation. Contrary to what has been suggested, they do not first appear
and then subsequently disappear. Waves cannot just "cease to exist" for
the very same reason that energy cannot cease to exist.

It may be somewhat easier to see this when we consider that each
boundary can be viewed as a radiator, or re-radiator. When a wave
impinges upon it, the boundary conditions and the nature of the incident
wave determine how waves will be re-radiated from it. With a wave
impinging upon the boundary from one direction only, we would have one
outcome. With two or more waves impinging upon the boundary, we may
have a different outcome.

73, Jim AC6XG

Art Unwin KB9MZ July 23rd 03 03:38 AM

(Dr. Slick) wrote in message . com...
(Art Unwin KB9MZ) wrote in message om...


Slick


Dr Slick,
Way back in this thread you alluded to antennas as being
transformers. The more I think about that statement the more I see
it as being fact. Anything that involved coupling which all
antennas do can be drawn as a transformer !
Since the thread migrated all over the place did you feel that
the group agreed with that position?
Regards
Art



Some have emailed me personally, and we have pretty much agreed on
these two points(even Roy agreed with these, if you read his posts
here):


1. Two antennas (also called transducers) placed close together
actually can be considered a transformer, albeit a very inefficient
one.


Humm...By antenna I assume it also means a radiator. This would
suggest
that a stagger tuned radiators would fall into the catagory discussed
above.
Now I have a problem with that statement, because I very much see it
as a transformer which is VERY efficient and not as you stated "albiet
a very inefficient one".
Can you explain to me how a stagger tuned antenna migrate into
inefficient radiators?
Seems to me that Thevenin's theorem would show this as being
incorrect !

-----
snip



Slick


Regards
Art

W5DXP July 23rd 03 05:33 AM

Jim Kelley wrote:
Waves cannot just "cease to exist" for
the very same reason that energy cannot cease to exist.


More bafflegab. An RF wave ceases to exist when it is dissipated
in a dummy load. The energy cannot cease to exist and turns to
heat but the RF wave, in a perfect dummy load, ceases to exist.
Heat is not RF. A light wave incident upon a perfect flat black
plane ceases to exist. The light waves that haven't exited the
room you are in when you turn off the light cease to exist. Some
light waves falling upon plants cease to exist in the process of
photosynthesis.

From _Optics_, by Hecht: "Unlike ordinary objects, photons cannot
be seen directly; what is known of them comes from observing the
results of their being either created or annihilated."

When photons are created, their wave function starts. When photons
are annihilated, their wave function ceases to exist. There is no
such thing as preservation of photons. You really need to get
yourself a better physics book.

EM waves cease to exist all the time but the energy in those waves
cannot be destroyed.
--
73, Cecil http://www.qsl.net/w5dxp



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Roy Lewallen July 23rd 03 07:03 AM

Yeah, you've got me pegged, all right -- tireless defender of ham
radio's sacred cows. Perceptive of you. But we can all be thankful we've
got you to keep reminding us hams just how ignorant we, worshipping our
superstitious lore, are, compared to true professionals like you.

If only we could just come up an impedor for this.

Roy Lewallen, W7EL

W5DXP wrote:
Dave Shrader wrote:

Roy, you've been getting blamed for everything lately.
Now we can blame you for the new thread ... you started it! grin



Roy doesn't seem to appreciate me making hamburger out of ham radio's
sacred cows. :-) I actually enjoy the T-Bones best of all.



Dr. Slick July 23rd 03 09:14 AM

(Art Unwin KB9MZ) wrote in message m...

1. Two antennas (also called transducers) placed close together
actually can be considered a transformer, albeit a very inefficient
one.


Humm...By antenna I assume it also means a radiator. This would
suggest
that a stagger tuned radiators would fall into the catagory discussed
above.
Now I have a problem with that statement, because I very much see it
as a transformer which is VERY efficient and not as you stated "albiet
a very inefficient one".
Can you explain to me how a stagger tuned antenna migrate into
inefficient radiators?
Seems to me that Thevenin's theorem would show this as being
incorrect !



Well, two identical antennas spaced a few wavelengths apart can
be considered a transformer, but very inefficient compared to a "real"
transformer with identical primary and secondary turns, with an
appropriate toroid core. This would be because the core material will
increase the magnetic flux density, and will increase the coupling
between the two windings/transducers.

Point is, the farther apart the antennas are, the less efficient
of a "transformer" they will be.

I'm not familiar with stagger tuned antennas, although the name
would suggest that it is tuned for multiple resonances, so that the
antenna will be broadband.



Slick

Roy Lewallen July 23rd 03 10:08 AM

I hope you'll pardon me for amplifying this a little.

If you put X watts into the primary of a transformer and extract Y watts
from the secondary, the efficiency is Y/X by definition.

If you put X watts into one antenna and extract Y watts from an antenna
coupled to it, and measure the efficiency of the "transformer" the same
way as you did the conventional transformer, you'll find it has lousy
efficiency. Why? Because a goodly fraction of the power you applied to
the "primary" antenna never gets to the "secondary" antenna because it's
radiated instead. As far as the "secondary" is concerned, it might as
well have been converted to heat.

If you look at the impedance of the "primary" antenna, you'll find an
excess of resistance -- just enough, in fact, to account for the "lost"
(radiated) power.

This isn't a statement about how well coupled antennas function as
antennas, whose purpose is to radiate after all. It's a statement about
how well they function as a transformer. Poorly.

Roy Lewallen, W7EL

Dr. Slick wrote:
(Art Unwin KB9MZ) wrote in message m...

1. Two antennas (also called transducers) placed close together
actually can be considered a transformer, albeit a very inefficient
one.


Humm...By antenna I assume it also means a radiator. This would
suggest
that a stagger tuned radiators would fall into the catagory discussed
above.
Now I have a problem with that statement, because I very much see it
as a transformer which is VERY efficient and not as you stated "albiet
a very inefficient one".
Can you explain to me how a stagger tuned antenna migrate into
inefficient radiators?
Seems to me that Thevenin's theorem would show this as being
incorrect !




Well, two identical antennas spaced a few wavelengths apart can
be considered a transformer, but very inefficient compared to a "real"
transformer with identical primary and secondary turns, with an
appropriate toroid core. This would be because the core material will
increase the magnetic flux density, and will increase the coupling
between the two windings/transducers.

Point is, the farther apart the antennas are, the less efficient
of a "transformer" they will be.

I'm not familiar with stagger tuned antennas, although the name
would suggest that it is tuned for multiple resonances, so that the
antenna will be broadband.



Slick



Art Unwin KB9MZ July 23rd 03 03:00 PM

Roy Lewallen wrote in message ...
I hope you'll pardon me for amplifying this a little.

If you put X watts into the primary of a transformer and extract Y watts
from the secondary, the efficiency is Y/X by definition.


Yes Roy. The specifics of what is being discussed is all important
when looking at answers as well as what terms are being used to
measure 'efficiency' and to what ends.
As you are surely awawe I too look at antennas as transformers or
coupled circuits and thus the primary contributes very much in its own
way as far as radiation as does the secondary. Thus 'efficiency' as a
criteria of 'value'
is all important when using it as a term since as you point out it is
a ratio of two terms both of which have to be made very clear for the
term efficiency to be made clear
Thus in stagger tuning it is important to define your requirements in
terms of bandwidth (dual frequency radiation) or max gain ( dual
radiators on the same frequency),the above bearing little difference
to old time receiver designwith multiple I.F. cans. It is in this
areana that I view stagger tuning or coupling
as being efficient in charactor. If I am incorrect in the above
assumptions I would welcome any correction from those well versed
inthe field.
Best regards
Art


If you put X watts into one antenna and extract Y watts from an antenna
coupled to it, and measure the efficiency of the "transformer" the same
way as you did the conventional transformer, you'll find it has lousy
efficiency. Why? Because a goodly fraction of the power you applied to
the "primary" antenna never gets to the "secondary" antenna because it's
radiated instead. As far as the "secondary" is concerned, it might as
well have been converted to heat.

If you look at the impedance of the "primary" antenna, you'll find an
excess of resistance -- just enough, in fact, to account for the "lost"
(radiated) power.

This isn't a statement about how well coupled antennas function as
antennas, whose purpose is to radiate after all. It's a statement about
how well they function as a transformer. Poorly.

Roy Lewallen, W7EL

Dr. Slick wrote:
(Art Unwin KB9MZ) wrote in message m...

1. Two antennas (also called transducers) placed close together
actually can be considered a transformer, albeit a very inefficient
one.

Humm...By antenna I assume it also means a radiator. This would
suggest
that a stagger tuned radiators would fall into the catagory discussed
above.
Now I have a problem with that statement, because I very much see it
as a transformer which is VERY efficient and not as you stated "albiet
a very inefficient one".
Can you explain to me how a stagger tuned antenna migrate into
inefficient radiators?
Seems to me that Thevenin's theorem would show this as being
incorrect !




Well, two identical antennas spaced a few wavelengths apart can
be considered a transformer, but very inefficient compared to a "real"
transformer with identical primary and secondary turns, with an
appropriate toroid core. This would be because the core material will
increase the magnetic flux density, and will increase the coupling
between the two windings/transducers.

Point is, the farther apart the antennas are, the less efficient
of a "transformer" they will be.

I'm not familiar with stagger tuned antennas, although the name
would suggest that it is tuned for multiple resonances, so that the
antenna will be broadband.



Slick


Jim Kelley July 23rd 03 04:50 PM


"W5DXP" wrote in message
...
There's another one of your contradictions. "Cancellation (of two waves)
precludes their existance ..."??? How can two waves cancel if they never
existed? Once again, you are confusing cause and effect. You are asserting
an effect caused by itself. That won't fly.


:-) Sorry, Cecil. It's a fact.

Cancellation
requires at least two waves.


:-) Cancellation requires zero waves You can't have it both ways..

Maxwell's equations contain partial differentials
for dx, dy, dz, and dt.


Yes they do, and for any set of finite values of those variables for two
superposed functions of equal amplitude an opposite phase, the solution is
zero. You can write the functions for the two waves and prove they cannot
exist.


You seem incapable of conceiving of canceling wavefronts that exist for

only
a dt of time.


Since the functions cancel during that dt of time as well as any other
length of time, you're right.
..
I, OTOH, am completely incapable of conceiving of the cancellation
of two waves that never existed.


Not my problem.

73, ac6xg



Jim Kelley July 23rd 03 06:22 PM

W5DXP wrote:

They say that reflected traveling waves disappear when steady-state is
reached. I say such a disappearing act would have to be magic.


Just hours earlier you were flinging insults at me for disputing your
claim that reflected traveling waves disappear in the steady state.

ac6xg

W5DXP July 23rd 03 06:25 PM

Jim Kelley wrote:
"W5DXP" wrote:
There's another one of your contradictions. "Cancellation (of two waves)
precludes their existance ..."??? How can two waves cancel if they never
existed? Once again, you are confusing cause and effect. You are asserting
an effect caused by itself. That won't fly.


:-) Sorry, Cecil. It's a fact.


It may be a truth, but only in your mind. It is certainly not a fact.

Cancellation requires at least two waves.


:-) Cancellation requires zero waves You can't have it both ways..


Cancellation can occur between zero waves? That's just bafflegab.
If zero waves exist, wave cancellation is impossible.

Maxwell's equations contain partial differentials
for dx, dy, dz, and dt.


Yes they do, and for any set of finite values of those variables for two
superposed functions of equal amplitude an opposite phase, the solution is
zero. You can write the functions for the two waves and prove they cannot
exist.


You are again confusing cause and effect. The solution is zero in only one
direction in a transmission line and we already know that. The principle of
conservation of energy dictates that the solution cannot be zero in the
opposite direction. The two rearward-traveling wavefronts cancel each other.
Their intrinsic energy components cannot be canceled. Therefore, that intrinsic
energy changes directions and joins the forward wave. It is all explained on
the Melles-Griot web page.

You seem incapable of conceiving of canceling wavefronts that exist for
only a dt of time.


Since the functions cancel during that dt of time as well as any other
length of time, you're right.


Your inability to conceptualize is your problem, not mine. My dog shares
that mental problem with you but I love her anyway.

I, OTOH, am completely incapable of conceiving of the cancellation
of two waves that never existed.


Not my problem.


Certainly not mine. Do you really expect any rational person to accept your
assertion that wave cancellation occurs between wavefronts that never existed?
Do you also believe that marriages occur between men and women who never existed?
--
73, Cecil http://www.qsl.net/w5dxp



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Art Unwin KB9MZ July 23rd 03 06:40 PM

(Richard Harrison) wrote in message ...
Art Unwin wrote:
"Way back in this thread you alludedd to antennas as being
transformers."

Art seems ready to bring up #*+@%$! ("the thing" as Phil Harris would
say) yet another time.

I would like to see Art produce some hard numbers indicating improvement
by his "thing" as compared with other antennas. Art has indicated he
wants others to produce his numbers, even refine his design. I`d like
Art to even differentiate his "thing" from a "T" or "Delta" match,
regardless of where the feedline wires go.

Fresh participants might be persuaded to do Art`s work or salute his
design.

Best regards, Richard Harrison, KB5WZI


Richard if you have to swipe at me then you need a mean streak
like Yuri who uses it with vigor which you do not have.
I told you that I would not bring up my antenna again but in
taking a swipe at me you have.
As you well know my antenna is a simple small dipole coupled
to a double meshed circuit one of which being an occillator
which is extremely difficult to describe.
But you can help me. Design a tuner with two variable inductors
plus a capacitor of sorts and explain that in simple language
not ignoring the effect of intercoupling between the components.
Then put all of this in a black bos which provides only one knob
to fiddle with to tune up.
I could use such an example from somebody who can walk the walk
so I could one day if ever, communicate in a more informative way
I have a slide rule that I can supply so that you can get cracking
with the project so that you can show me how things should be done
to your satisfaction.
Best regards
Art

Dr. Slick July 23rd 03 07:27 PM

(Art Unwin KB9MZ) wrote in message om...
Roy Lewallen wrote in message ...
I hope you'll pardon me for amplifying this a little.

If you put X watts into the primary of a transformer and extract Y watts
from the secondary, the efficiency is Y/X by definition.


Yes Roy. The specifics of what is being discussed is all important
when looking at answers as well as what terms are being used to
measure 'efficiency' and to what ends.



Roy is correct. And if both transmit and receive antennas were
directional Yagis pointed at each other instead of regular dipoles,
the efficiency would go up.



As you are surely awawe I too look at antennas as transformers or
coupled circuits and thus the primary contributes very much in its own
way as far as radiation as does the secondary. Thus 'efficiency' as a
criteria of 'value'
is all important when using it as a term since as you point out it is
a ratio of two terms both of which have to be made very clear for the
term efficiency to be made clear
Thus in stagger tuning it is important to define your requirements in
terms of bandwidth (dual frequency radiation) or max gain ( dual
radiators on the same frequency),the above bearing little difference
to old time receiver designwith multiple I.F. cans. It is in this
areana that I view stagger tuning or coupling
as being efficient in charactor. If I am incorrect in the above
assumptions I would welcome any correction from those well versed
inthe field.
Best regards
Art



Broadbandedness by itself is not a measure of efficiency. You
may still be very inefficient, over many octaves!


Slick

If you put X watts into one antenna and extract Y watts from an antenna
coupled to it, and measure the efficiency of the "transformer" the same
way as you did the conventional transformer, you'll find it has lousy
efficiency. Why? Because a goodly fraction of the power you applied to
the "primary" antenna never gets to the "secondary" antenna because it's
radiated instead. As far as the "secondary" is concerned, it might as
well have been converted to heat.

If you look at the impedance of the "primary" antenna, you'll find an
excess of resistance -- just enough, in fact, to account for the "lost"
(radiated) power.

This isn't a statement about how well coupled antennas function as
antennas, whose purpose is to radiate after all. It's a statement about
how well they function as a transformer. Poorly.

Roy Lewallen, W7EL

Dr. Slick wrote:
(Art Unwin KB9MZ) wrote in message m...

1. Two antennas (also called transducers) placed close together
actually can be considered a transformer, albeit a very inefficient
one.

Humm...By antenna I assume it also means a radiator. This would
suggest
that a stagger tuned radiators would fall into the catagory discussed
above.
Now I have a problem with that statement, because I very much see it
as a transformer which is VERY efficient and not as you stated "albiet
a very inefficient one".
Can you explain to me how a stagger tuned antenna migrate into
inefficient radiators?
Seems to me that Thevenin's theorem would show this as being
incorrect !




Well, two identical antennas spaced a few wavelengths apart can
be considered a transformer, but very inefficient compared to a "real"
transformer with identical primary and secondary turns, with an
appropriate toroid core. This would be because the core material will
increase the magnetic flux density, and will increase the coupling
between the two windings/transducers.

Point is, the farther apart the antennas are, the less efficient
of a "transformer" they will be.

I'm not familiar with stagger tuned antennas, although the name
would suggest that it is tuned for multiple resonances, so that the
antenna will be broadband.



Slick


Dr. Slick July 23rd 03 07:31 PM

W5DXP wrote in message ...

Roy doesn't seem to appreciate me making hamburger out of ham radio's
sacred cows. :-) I actually enjoy the T-Bones best of all.


I didn't forget the smiley face, an indication of a joke. Remember jokes?
--
73, Cecil http://www.qsl.net/w5dxp



I read jokes everytime i read your postings, Cecil.

:(


Slick

W5DXP July 23rd 03 07:43 PM

Jim Kelley wrote:

W5DXP wrote:
They say that reflected traveling waves disappear when steady-state is
reached. I say such a disappearing act would have to be magic.


Just hours earlier you were flinging insults at me for disputing your
claim that reflected traveling waves disappear in the steady state.


Such a bold-faced lie. I have argued loud and long with Peter (and
others) that reflected traveling waves are alive and well during the
steady-state. Peter will (hopefully) jump in and verify that fact.

Why do you give in to your compulsion to lie about what I have said?
Anyone following this discussion can observe what you are tring to
do. Why can't you just stick to the technical discussion without having
to lie? Because you want to win the argument at any ethical cost?

For the record: I think that the forward and reflected waves detected
by a Bird wattmeter are really there, transporting the energy and
momentum that all EM waves possess. You are the one who claims that
those reflected waves from a mismatched load transfer no energy and
possess no momentum. That is, unless they are going to encounter a
resistor in the future in which case, they are required to predict
the future better than you can. Do you realize that your waves are
smarter than you are?

OTOH, I believe Hecht when he says: "One of the most significant
properties of the electromagnetic wave is that is transports energy
and momentum."

You seem to have chosen to dispute and attempt to discredit Hecht,
Ramo & Whinnery, the Melles-Griot web page, and HP Application Notes.
Don, good luck on dueling with windmills.
--
73, Cecil http://www.qsl.net/w5dxp



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Yuri Blanarovich July 23rd 03 07:54 PM

Art figured out that:

Richard if you have to swipe at me then you need a mean streak
like Yuri who uses it with vigor which you do not have.


Yuri likes propagation of radio waves and well performing antennas, he hates
propagation of crap and misinformation if he stumbles on it. He doesn't care if
it is Art, Freak or Tom. So far he has been more (always) right than wrong and
he can spell despite of not learning English (his 7th language) at schools.
Sometimes he is trying to be funny, but that is judged by the audience.

If Art tries one program (AO) and makes recommendation and "evaluation" of
modeling software based on that, then he uses his "mean vigor streak" to debunk
another crap. He looked at few other programs and knows that AO is still good
but a bit archaic and limited. He also has seen different dimensions coming
from AO optimizer and others. Who to trust? Need to get the hardware models out
and correlate.

Art please use spell checker (or slide rule) because you are putting
Englishpersons (xG) in bad light.

Bada Vigor BUm


W5DXP July 23rd 03 07:57 PM

Dr. Slick wrote:
I read jokes everytime i read your postings, Cecil.


I have requested that you list just one point of technical disagreement
between you and me, but so far you have refused and only responded with
ad hominem attacks. What can we deduce from that fact?
--
73, Cecil http://www.qsl.net/w5dxp



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Jim Kelley July 23rd 03 09:42 PM



W5DXP wrote:

Jim Kelley wrote:

W5DXP wrote:
They say that reflected traveling waves disappear when steady-state is
reached. I say such a disappearing act would have to be magic.


Just hours earlier you were flinging insults at me for disputing your
claim that reflected traveling waves disappear in the steady state.


Such a bold-faced lie. I have argued loud and long with Peter (and
others) that reflected traveling waves are alive and well during the
steady-state. Peter will (hopefully) jump in and verify that fact.


You're arguing with me about it right now in another thread! :-)

Don, good luck on dueling with windmills.


I'm not trying to sell something, Bill, you are. You're trying to get
publications to buy into your energy reversal theory. You'll need lots
of luck with that.

73, ac6xg

W5DXP July 23rd 03 10:13 PM

Jim Kelley wrote:
These waves never propagate.


Of course not and I NEVER said they did. That's just another strawman
of yours. The wavefronts originate in and are canceled in a 'dt' of
time. What is it about calculus that you do not understand?

Cancellation can occur between zero waves?


No. Zero waves occur because of cancellation.


Bafflegab!!! The energy in the waves CANNOT be destroyed. Zero waves
occur in one direction. The energy in the canceled waves flows in the
opposite direction. So says every physics book that I own. Sorry about
that.

You have said:
Waves cannot just "cease to exist" for
the very same reason that energy cannot cease to exist.


This is the biggest bunch of BS that you have ever uttered! On what
planet do you live that photons must be conserved?

The waves which impinge upon the boundary certainly exist. But V3 and
V4 do not exist because their existance is prevented.


Without their existence, wave cancellation is impossible. Yet you have
agreed that wave cancellation exists. Which is it? Does wave cancellation
exist? If yes, then V3 and V4 exist. If no, then come up with an explanation
that doesn't involve wave cancellation. (Your spelling of "existance" sic, is
driving me crazy. Please correct it.)

To you that is a truth. But it certainly is not a fact. And you
certainly can't dispute that for any set of finite values of those
variables for two superposed functions of equal amplitude an opposite
phase, the solution is zero.


What you are missing is that your solution is only for one direction.
The other direction contains the reflected energy as proven by a Bird
directional wattmeter. Aren't you capable of conceptual thoughts involving
the two directions in a one-dimensional environment? My dog is almost
capable of that.

Are you claiming that a wave
in a transmission line can move in more than one direction at a time?


No, I am claiming that the energy in waves can reverse direction in
a 'dt' of time. Do you disagree?

:-) Actually, it's not quite that specific. The conservation of energy
principle says that energy in equals energy out minus losses.


Bafflegab! The conservation of energy principle says the energy in an
electron can be tracked to an electron plus photon and back. Good Grief!
Are you really teaching physics students? If so, I feel sorry for them.
Does your boss know that your are teaching bafflegab?

There is no intrinsic energy in waves that never propagate.


_Optics_, by Hecht says that all EM waves propagate and contain
energy and momentum. Sorry about that.

Once you get an idear in ur head, there's no shiftin' it.


I really admire your technical assertions, I really do. When
are you going to make one?

Your inability to conceptualize is your problem, not mine.


So you're claiming that the functions don't cancel during time dt?


Of course, they cancel during time dt. Why do you feel the compulsion
to erect those more-than-obvious strawmen? That's usually the diversion
of someone who is desperate after painting himself into a corner. Why
do you feel the need for diversions? Why can't you just discuss the
technical aspects?

Do you really expect anyone to believe that waves can both exist and not
exist at the same time?


No, that's just one of your strawmen. I expect some people to accept the fact
of physics that a wave can be destroyed by wave cancellation as described in
_Optics_, by Hecht and on the Melles-Griot web page.
--
73, Cecil http://www.qsl.net/w5dxp
"One thing I have learned in a long life: that all our science, measured
against reality, is primitive and childlike ..." Albert Einstein



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Jim Kelley July 24th 03 12:08 AM

W5DXP wrote:

Jim Kelley wrote:
These waves never propagate.


Of course not and I NEVER said they did. That's just another strawman
of yours. The wavefronts originate in and are canceled in a 'dt' of
time.


The same 'dt' of time. The waves would cancel for any t and any x.
What a ridiculous argument to be having.

Cancellation can occur between zero waves?


No. Zero waves occur because of cancellation.


The energy in the waves CANNOT be destroyed.


Zero waves=zero energy.

Zero waves
occur in one direction.


That's what I just got done saying and you called it "bafflegab" or some
such thing.

The energy in the canceled waves flows in the
opposite direction.


The energy definitely flows in the opposite direction - from source to
load. You keep claiming it's flowing toward the source. That's what the
argument is about. Remember?


The waves which impinge upon the boundary certainly exist. But V3 and
V4 do not exist because their existance is prevented.


Without their existence, wave cancellation is impossible.


They don't exist, and there's nothing besides cancellation to explain
their absence.

Yet you have
agreed that wave cancellation exists. Which is it? Does wave cancellation
exist? If yes, then V3 and V4 exist.


Wave cancellation exists, and as a result V3 and V4 do not. Very
simple.

(Your spelling of "existance" sic, is
driving me crazy. Please correct it.)


Short drive, methinks.

What you are missing is that your solution is only for one direction.


There is only one solution to that equation - and it is for one
direction only. The forward moving energy is expressed by a different
equation, obviously with a different solution.

The other direction contains the reflected energy as proven by a Bird
directional wattmeter.


Yes, the wattmeter says 133.33 in one direction and 33.33 in the other
direction.


Are you claiming that a wave
in a transmission line can move in more than one direction at a time?


No, I am claiming that the energy in waves can reverse direction in
a 'dt' of time. Do you disagree?


A wave going in a different direction is kind of a different wave, to my
way of thinking. Maybe you could ask your dog what he thinks about
that, and let us know.

The conservation of energy
principle says that energy in equals energy out minus losses.


Bafflegab!


So are you saying that energy is not conserved when energy in equals
energy out, minus losses? Or are you saying that energy is conserved
when energy in does not equal energy out, minus losses?

Does your boss know that your are teaching bafflegab?


Actually, he says that I'm conversing with a nutcase.

Reg Edwards July 24th 03 12:41 AM

Cec sed -
What is it about calculus that you do not understand?

=============================
Cec, and to whom it may concern,

Probably most of it.

Here in Euro-side an amateur radio ticket can be obtained without ever
having heard of it. And what with present educational standards that's
nearly all of us.

The trouble with Guru's displaying their knowledge on this newsgroup is
failure to appreciate the technical standing of their 'pupils'. Yet as often
as not the manner in which questions are asked are a dead giveaway. For a
reply to be of value it is necessary for the Guru to 'tune in' to the
recipient, ie., become resonant in same sort of language.

Too seldom is any thought given to it. As a result I would guess many
questioners become so confused or overloaded with haggling between the
'experts' they don't bother reading to the end of the thread, possibly to
consider packing up the hobby. It is impossible for a novice in a particular
subject to distinguish wheat from chaff, or to choose between one old-wive's
tale and another. Confusion reigns!

So KISS ! In plain unabbreviated English.

To refer to Terman et al to somebody who has probably never heard of any of
'em is no better than uninvited spam and indicates a lack of self
confidence.

But who am I to lay down the Law? Tonight's plonk is Claret. Vive La
France! Hic!
----
Reg, G4FGQ



W5DXP July 24th 03 01:25 AM

Reg Edwards wrote:
So KISS ! In plain unabbreviated English.


That's exactly what I try to do, Reg. But everyone keeps asking me to
prove my concepts using Maxwell's equations, as if that was possible
on an ASCII newsgroup. My attitude is: If they are incapable of
arguing concepts, then they probably don't know what they are talking
about anyway. When I ask for a conceptual thumbnail sketch and am refused,
that's exactly what I assume. Even Einstein was capable of presenting his
relativity concepts in a language that most technical people could understand.
--
73, Cecil http://www.qsl.net/w5dxp



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Art Unwin KB9MZ July 24th 03 02:43 AM

(Richard Harrison) wrote in message ...
Art Unwin wrote:
"It is in this area that I view stagger tuning or coupling to be
efficient in character."

This is a struggle against nature. Like the double-tuned stagger
frequency transformer, the wider the frequency separation, the less the
coupling.


Richard it is no use bringing up the subject that you have told Art
e.t.c.
As far as I am concerned you do not have the faintest idea of what my
antenna consists of ...or..you don,t know what you are talking about
However you are in good company as the whole idea has been trashed by
the newsgroup and without dissention it was agreed that I have no
credability
Can't type either) So why are you bringing up the idea again of
antenna coupling?
That particular horse is dead.
You would be better off looking at your books and pulling out a
statement verbatum regarding a conjugate match or the date of Termans
birthday than trying to bait me on a subject where I have already
received a hiding from resident gurus and bypassers alike.

Art.



Another item promotes coupling in a transformer. It is placement of the
coils so they share flux. An opposite phenomenon is at work for Art, as
I`ve told him for the nth time. A small loop has a null in its radiation
perpendicular to the plane of the loop. Art`s loop shares the plane of
his dipole. The loop is suspended form the dipole and actually shares
conductor.

The dipole has maximum desired radiation perpendicular to the plane
containing the loop. At horizontal and low-angle directions to the
earth, this is the direction of the loop`s null. No way could radiation
from the loop reinforce dipole radiation.

In a yagi, the reflector is tuned lower in frequency and the director is
tuned higher in frequency than the driven element. The purpose of this
detuning is to get proper phasing between the elements so that director
directs and the reflector reflects and not vice versa. But, in the case
of the yagi, radiation of all the rods is in the same plane that they
share and that contains the desired direction of signal transmission /
reception.

In a dipole which shares conductor with one side of a suspended loop,
the only possible loop contribution to the dipole`s radiation is
straight up, or straignt down, or toward the ends of the dipole. This
could help it approach an isotropic antenna more closely. The isotropic
has about 2 db less gain than a dipole alone. Or, a slight gain toward
the earth, the zenith, or the dipole ends might be realized, as stated
before.

Best regards, Richard Harrison, KB5WZI


W5DXP July 24th 03 11:49 AM

W5DXP wrote:

Jim Kelley wrote:
You're arguing with me about it right now in another thread! :-)


If you really believe that, Jim, you are *extremely* mentally ill.
Go obtain some medication for your problem and get back to us.


My joke was apparently too subtle. It is impossible for me to be
reading this thread "right now" while arguing with Jim "right now"
on another thread. Sorry, it was a poor attempt at a play on the
words, "right now". I certainly don't think Jim is mentally ill.
--
73, Cecil http://www.qsl.net/w5dxp



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Tdonaly July 24th 03 03:40 PM

Cecil wrote,

My joke was apparently too subtle. It is impossible for me to be
reading this thread "right now" while arguing with Jim "right now"
on another thread. Sorry, it was a poor attempt at a play on the
words, "right now". I certainly don't think Jim is mentally ill.
--
73, Cecil http://www.qsl.net/w5dxp




No, but he will be if he keeps arguing with you. Most of
the rest of us value our mental health too much to argue an
infinite thread with an obsessed Texan.
73,
Tom Donaly, KA6RUH



Reg Edwards July 24th 03 04:33 PM

Cec, from where do you get all your energy?

Is it from fire water you have now stopped trading for buffalo hides from
the injuns?
---
Reg



Richard Harrison July 24th 03 05:07 PM

Art Unwin wrote:
"As far as I am concerned you do not have the faintest idea what my
antenna consists of ...or,,you don`t know what you are talking about."

How does Art`s antenna differ from Fig 10(A) on page 26-9 of the 19th
edition of the ARRL Antenna Book?. In that figure, the input of the "T"
is inductive until the series capacitance brings it into resonance.

The tuning section of Fig 10(A) forms a small loop. See Fig 4 on page
5-3 of the same Antenna Book for the small loop radiation pattern. Also,
see Fig 12 on page 2-8 for the dipole radiation pattern. Note that lobes
are perpendicular to the wire and plane of the dipole, and perpendicular
to the axis of the small loop. There are nulls perpendicular to the wire
and plane of the loop.

The loop`s null can`t help the dipole`s lobe. It can`t hurt it either,
other than by radiating some energy that might otherwise have gone into
the dipole. As the loop is small ( 0.1 lambda is one definition), its
contribution to radiation may be small. As the loop size grows, so will
its radiation, and its null will decline.

How does Art`s antenna differ from a T-matched dipole?

Best regards, Richard Harrison, KB5WZI


W5DXP July 24th 03 09:22 PM

Reg Edwards wrote:
Cec, from where do you get all your energy?


A congenital insatiable thirst for knowledge. I asked my
first grade teacher, "Why is one plus one equal to two?"
She didn't know. I finally got my answer years later when
I took a "Foundations of Mathematics" college course.
--
73, Cecil, W5DXP


Art Unwin KB9MZ July 24th 03 09:31 PM

Dr Slick.
When the term efficiency is used on this newsgroup
it always leads to dissention.
As Roy pointed out efficiency is a ratio between two factors
X and Y only. Unfortunately in this newsgroup
people have a tendency to use Y in their derivation of efficiency
which results in people talking past each other.
I suspect we have a bit of that in this thread
Have a great day
Art




(Dr. Slick) wrote in message . com...
(Art Unwin KB9MZ) wrote in message om...
Roy Lewallen wrote in message ...
I hope you'll pardon me for amplifying this a little.

If you put X watts into the primary of a transformer and extract Y watts
from the secondary, the efficiency is Y/X by definition.


Yes Roy. The specifics of what is being discussed is all important
when looking at answers as well as what terms are being used to
measure 'efficiency' and to what ends.



Roy is correct. And if both transmit and receive antennas were
directional Yagis pointed at each other instead of regular dipoles,
the efficiency would go up.



As you are surely awawe I too look at antennas as transformers or
coupled circuits and thus the primary contributes very much in its own
way as far as radiation as does the secondary. Thus 'efficiency' as a
criteria of 'value'
is all important when using it as a term since as you point out it is
a ratio of two terms both of which have to be made very clear for the
term efficiency to be made clear
Thus in stagger tuning it is important to define your requirements in
terms of bandwidth (dual frequency radiation) or max gain ( dual
radiators on the same frequency),the above bearing little difference
to old time receiver designwith multiple I.F. cans. It is in this
areana that I view stagger tuning or coupling
as being efficient in charactor. If I am incorrect in the above
assumptions I would welcome any correction from those well versed
inthe field.
Best regards
Art



Broadbandedness by itself is not a measure of efficiency. You
may still be very inefficient, over many octaves!


Slick

If you put X watts into one antenna and extract Y watts from an antenna
coupled to it, and measure the efficiency of the "transformer" the same
way as you did the conventional transformer, you'll find it has lousy
efficiency. Why? Because a goodly fraction of the power you applied to
the "primary" antenna never gets to the "secondary" antenna because it's
radiated instead. As far as the "secondary" is concerned, it might as
well have been converted to heat.

If you look at the impedance of the "primary" antenna, you'll find an
excess of resistance -- just enough, in fact, to account for the "lost"
(radiated) power.

This isn't a statement about how well coupled antennas function as
antennas, whose purpose is to radiate after all. It's a statement about
how well they function as a transformer. Poorly.

Roy Lewallen, W7EL

Dr. Slick wrote:
(Art Unwin KB9MZ) wrote in message m...

1. Two antennas (also called transducers) placed close together
actually can be considered a transformer, albeit a very inefficient
one.

Humm...By antenna I assume it also means a radiator. This would
suggest
that a stagger tuned radiators would fall into the catagory discussed
above.
Now I have a problem with that statement, because I very much see it
as a transformer which is VERY efficient and not as you stated "albiet
a very inefficient one".
Can you explain to me how a stagger tuned antenna migrate into
inefficient radiators?
Seems to me that Thevenin's theorem would show this as being
incorrect !




Well, two identical antennas spaced a few wavelengths apart can
be considered a transformer, but very inefficient compared to a "real"
transformer with identical primary and secondary turns, with an
appropriate toroid core. This would be because the core material will
increase the magnetic flux density, and will increase the coupling
between the two windings/transducers.

Point is, the farther apart the antennas are, the less efficient
of a "transformer" they will be.

I'm not familiar with stagger tuned antennas, although the name
would suggest that it is tuned for multiple resonances, so that the
antenna will be broadband.



Slick


Art Unwin KB9MZ July 24th 03 09:31 PM

Dr Slick.
When the term efficiency is used on this newsgroup
it always leads to dissention.
As Roy pointed out efficiency is a ratio between two factors
X and Y only. Unfortunately in this newsgroup
people have a tendency to use Y in their derivation of efficiency
which results in people talking past each other.
I suspect we have a bit of that in this thread
Have a great day
Art




(Dr. Slick) wrote in message . com...
(Art Unwin KB9MZ) wrote in message om...
Roy Lewallen wrote in message ...
I hope you'll pardon me for amplifying this a little.

If you put X watts into the primary of a transformer and extract Y watts
from the secondary, the efficiency is Y/X by definition.


Yes Roy. The specifics of what is being discussed is all important
when looking at answers as well as what terms are being used to
measure 'efficiency' and to what ends.



Roy is correct. And if both transmit and receive antennas were
directional Yagis pointed at each other instead of regular dipoles,
the efficiency would go up.



As you are surely awawe I too look at antennas as transformers or
coupled circuits and thus the primary contributes very much in its own
way as far as radiation as does the secondary. Thus 'efficiency' as a
criteria of 'value'
is all important when using it as a term since as you point out it is
a ratio of two terms both of which have to be made very clear for the
term efficiency to be made clear
Thus in stagger tuning it is important to define your requirements in
terms of bandwidth (dual frequency radiation) or max gain ( dual
radiators on the same frequency),the above bearing little difference
to old time receiver designwith multiple I.F. cans. It is in this
areana that I view stagger tuning or coupling
as being efficient in charactor. If I am incorrect in the above
assumptions I would welcome any correction from those well versed
inthe field.
Best regards
Art



Broadbandedness by itself is not a measure of efficiency. You
may still be very inefficient, over many octaves!


Slick

If you put X watts into one antenna and extract Y watts from an antenna
coupled to it, and measure the efficiency of the "transformer" the same
way as you did the conventional transformer, you'll find it has lousy
efficiency. Why? Because a goodly fraction of the power you applied to
the "primary" antenna never gets to the "secondary" antenna because it's
radiated instead. As far as the "secondary" is concerned, it might as
well have been converted to heat.

If you look at the impedance of the "primary" antenna, you'll find an
excess of resistance -- just enough, in fact, to account for the "lost"
(radiated) power.

This isn't a statement about how well coupled antennas function as
antennas, whose purpose is to radiate after all. It's a statement about
how well they function as a transformer. Poorly.

Roy Lewallen, W7EL

Dr. Slick wrote:
(Art Unwin KB9MZ) wrote in message m...

1. Two antennas (also called transducers) placed close together
actually can be considered a transformer, albeit a very inefficient
one.

Humm...By antenna I assume it also means a radiator. This would
suggest
that a stagger tuned radiators would fall into the catagory discussed
above.
Now I have a problem with that statement, because I very much see it
as a transformer which is VERY efficient and not as you stated "albiet
a very inefficient one".
Can you explain to me how a stagger tuned antenna migrate into
inefficient radiators?
Seems to me that Thevenin's theorem would show this as being
incorrect !




Well, two identical antennas spaced a few wavelengths apart can
be considered a transformer, but very inefficient compared to a "real"
transformer with identical primary and secondary turns, with an
appropriate toroid core. This would be because the core material will
increase the magnetic flux density, and will increase the coupling
between the two windings/transducers.

Point is, the farther apart the antennas are, the less efficient
of a "transformer" they will be.

I'm not familiar with stagger tuned antennas, although the name
would suggest that it is tuned for multiple resonances, so that the
antenna will be broadband.



Slick


Mike Coslo July 24th 03 09:49 PM

Reg Edwards wrote:

Here in Euro-side an amateur radio ticket can be obtained without ever
having heard of it. And what with present educational standards that's
nearly all of us.

The trouble with Guru's displaying their knowledge on this newsgroup is
failure to appreciate the technical standing of their 'pupils'. Yet as often
as not the manner in which questions are asked are a dead giveaway. For a
reply to be of value it is necessary for the Guru to 'tune in' to the
recipient, ie., become resonant in same sort of language.

Too seldom is any thought given to it. As a result I would guess many
questioners become so confused or overloaded with haggling between the
'experts' they don't bother reading to the end of the thread, possibly to
consider packing up the hobby. It is impossible for a novice in a particular
subject to distinguish wheat from chaff, or to choose between one old-wive's
tale and another. Confusion reigns!


My assessment as one of the "less washed" is that I can kind of
understand some of what is being argued.

But too much pouncing on minutaia, too much of what sounds like the
antagonists saying the same thing in a different way, and too much
personal junk all over the place, and it ends up doing everyone no good
at all, especially the antagonists. But of course, it doesn't really
matter what I think. I suspect that despite some aggravation and
digestive tract angst, they are enjoying it.

In the end, it is just a Warholesqe repetitive, stretched out artwork.



So KISS ! In plain unabbreviated English.



Or (ironically enough -- Occam's Razor!!-- 8^)

- Mike KB3EIA -




W5DXP July 24th 03 10:58 PM

Jim Kelley wrote:

W5DXP wrote:
Such a bold-faced lie. I have argued loud and long with Peter (and
others) that reflected traveling waves are alive and well during the
steady-state. Peter will (hopefully) jump in and verify that fact.


You're arguing with me about it right now in another thread! :-)


The statement, "Reflected traveling waves disappear in the steady state",
means to me that the set of reflected traveling waves is null in the
steady-state - which is a statement that I never made.

In a system with a mismatched load, reflected traveling waves always
exist and I have NEVER said otherwise.

Semantic tricks and traps never prove anything. They just obfuscate.
--
73, Cecil http://www.qsl.net/w5dxp



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Yuri Blanarovich July 24th 03 11:07 PM


Reg Edwards wrote:
Cec, from where do you get all your energy?



Simple - from reflected and collected waves, and rest converted to infrared
energy not radiated by the heat sink. :-)

A congenital insatiable thirst for knowledge. I asked my
first grade teacher, "Why is one plus one equal to two?"
She didn't know. I finally got my answer years later when
I took a "Foundations of Mathematics" college course.
--
73, Cecil, W5DXP


That's where its coming from!
The only problem is that the more we learn we find out that we know less and
still die stupid.

Bada 3BUm

Reg Edwards July 24th 03 11:52 PM

Mike sez -
I suspect that despite some aggravation and
digestive tract angst, they are enjoying it.


=============================

Mike, you are undoubtedly correct. If you ask a man why he keeps banging his
head with a hammer he will reply that he likes the feeling when he stops.


To put it in engineering terms, all living and dead materials take the line
of least resistance as perceived by their senses at the present instant of
time. The result is an unending drunken "Monte-Carlo" walk.


At MY present instant in time I am about to pour another glass of delicate
Chinese "Great Wall" white wine. If the disused coal mine under this house,
a consequence of the industrial revolution, doesn't fall in I may yet
survive to enjoy it.


There are an infinite number of ways our 'pleasure centers' make good use of
amateur radio. Between them Cecil and Co. know them all !

---
Reg, G4FGQ



W5DXP July 25th 03 12:58 AM

Yuri Blanarovich wrote:
The only problem is that the more we learn we find out that we know less and
still die stupid.


Someone said we specialize to the extent that we know more and more
about less and less and wind up knowing everything about nothing.
--
73, Cecil http://www.qsl.net/w5dxp
"One thing I have learned in a long life: that all our science, measured
against reality, is primitive and childlike ..." Albert Einstein



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Art Unwin KB9MZ July 25th 03 05:03 AM

Richard,
When it comes to looking up books for quotations
you do a good enough job to be a librarian, but I am unaware
of any instance where a librarian was promoted to the engineering
section on a project basis. Each of the instances that you quote
are simple and direct..... as long as particular conditions are
followed.
When you strayed from your books to combine two situations it would
be wise for you to analyse the new situation to check for changes
in conditions. Unfortuately for you this will not be neatly laid out
in your books
In the case of a so called magnetic loop there are many conditions
to be met to ensure a figure 8 radiation pattern, with or without
deep nulls.
Thus just any old loop in any sort of conditions such as being
coupled to another object or not uniform in cross section e.t.c.
is not the same as the conditions that you referenced in the
handbook thus statements that regurgitate may well not now apply.
It is a pity that you do not have a interest in computor programs
or an interest in using one because if you did you could add to
your experience without the need of buying another book.



(Richard Harrison) wrote in message ...
Art Unwin wrote:
"As far as I am concerned you do not have the faintest idea what my
antenna consists of ...or,,you don`t know what you are talking about."

How does Art`s antenna differ from Fig 10(A) on page 26-9 of the 19th
edition of the ARRL Antenna Book?. In that figure, the input of the "T"
is inductive until the series capacitance brings it into resonance.

The tuning section of Fig 10(A) forms a small loop. See Fig 4 on page
5-3 of the same Antenna Book for the small loop radiation pattern. Also,
see Fig 12 on page 2-8 for the dipole radiation pattern. Note that lobes
are perpendicular to the wire and plane of the dipole, and perpendicular
to the axis of the small loop. There are nulls perpendicular to the wire
and plane of the loop.

The loop`s null can`t help the dipole`s lobe. It can`t hurt it either,
other than by radiating some energy that might otherwise have gone into
the dipole. As the loop is small ( 0.1 lambda is one definition), its
contribution to radiation may be small. As the loop size grows, so will
its radiation, and its null will decline.

How does Art`s antenna differ from a T-matched dipole?

Best regards, Richard Harrison, KB5WZI


Roy Lewallen July 25th 03 05:44 PM

Actually, Art, the dissention is mostly when *you* use the term
efficiency, because for reasons of your own, you don't use it in the
universally understood way.

Roy Lewallen, W7EL

Art Unwin KB9MZ wrote:
Dr Slick.
When the term efficiency is used on this newsgroup
it always leads to dissention.
As Roy pointed out efficiency is a ratio between two factors
X and Y only. Unfortunately in this newsgroup
people have a tendency to use Y in their derivation of efficiency
which results in people talking past each other.
I suspect we have a bit of that in this thread
Have a great day
Art



W5DXP July 26th 03 02:05 AM

Art Unwin KB9MZ wrote:
Roy, the die was cast years ago when anything "new" was trashed
without a hearing. I now accept that all is now known about antennas
except the really deep things that Cecil is so bravely pushing on with
where I failed.


One slight correction, Art. Because of the similarity between light and
radiated EM waves, most things about antennas are known, at least to the
limit of the models to handle reality.

However, it appears to me that some things have been overlooked when the
coherent EM waves are confined to a one-dimensional transmission line. Those
things that have been overlooked are what I am pursuing and as far as I can
determine, they happen only inside a transmission line or at a thin-film
non-reflective surface using coherent light waves. That's what makes it
special.

That is not to conclude that you haven't discovered something special,
just that my focus is Z0-match points inside transmission lines and
non-glare thin-film coatings involving orthogonal coherent light.
--
73, Cecil http://www.qsl.net/w5dxp



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Richard Harrison July 26th 03 06:29 AM

Art Unwin wrote:
"It is a pity you do not have an interest in computor programs---."

If Art would publish impedance, gain, directivity, and bandwidth
comparisons of his antenna against a reference dipole at the same
height, from his computer programs, we might all know more about it.

Best regards, Richard Harrison, KB5WZI


Richard Clark July 26th 03 06:18 PM

On Sat, 26 Jul 2003 00:29:52 -0500 (CDT),
(Richard Harrison) wrote:

Art Unwin wrote:
"It is a pity you do not have an interest in computor programs---."

If Art would publish impedance, gain, directivity, and bandwidth
comparisons of his antenna against a reference dipole at the same
height, from his computer programs, we might all know more about it.

Best regards, Richard Harrison, KB5WZI


Hi Richard,

This would be consistent with one who is interested in antennas.

73's
Richard Clark, KB7QHC

July 26th 03 11:27 PM

Just playing devels advocate here, but, as you state "If you put X watts
into one antenna and extract Y watts from an antenna coupled to it, and
measure the efficiency of the "transformer" the same way as you did the
conventional transformer, you'll find it has lousy
efficiency.", does that refer to the 377 ohms (or so) free space coupling
impedence, or could that effeciency be improved by having the antenna's
matched radiation resistance approach that 377 ohms? (I.E. max transfer of
power is at Z0 (in) matches Z0(out)! or, is this academic for this?
Perhaps, better for Dr. Shorza Gitchigoumi of CQ fame, or Larson E. Rapp of
ARRL fame (both with bad habit of only presenting articles in the 4th month
of the year in their respective publications) ! But, I'd thought I had
better ask! Jim NN7K


"Roy Lewallen" wrote in message
...
I hope you'll pardon me for amplifying this a little.

If you put X watts into the primary of a transformer and extract Y watts
from the secondary, the efficiency is Y/X by definition.

If you put X watts into one antenna and extract Y watts from an antenna
coupled to it, and measure the efficiency of the "transformer" the same
way as you did the conventional transformer, you'll find it has lousy
efficiency. Why? Because a goodly fraction of the power you applied to
the "primary" antenna never gets to the "secondary" antenna because it's
radiated instead. As far as the "secondary" is concerned, it might as
well have been converted to heat.

If you look at the impedance of the "primary" antenna, you'll find an
excess of resistance -- just enough, in fact, to account for the "lost"
(radiated) power.

This isn't a statement about how well coupled antennas function as
antennas, whose purpose is to radiate after all. It's a statement about
how well they function as a transformer. Poorly.

Roy Lewallen, W7EL






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