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Cecil Moore[_2_] May 8th 09 08:24 PM

Dual-Z0 Stubs
 
wrote:
1) Cecil: I believe I understand how the Corum transmission line model
accounts nicely for the reduced current at the top of the coil. Does
it also account for the slight increase in current a short way from
the bottom?


I will say, apparently not. The Corum equations are stated
to be plus or minus 10 percent. The current increase in the
coil appears to be about 10%.

Typically, the current increases from a normalized 1.0 at
the bottom of the coil to about 1.1 close to the middle
and then falls off from there to 0.8 or so. Empirically,
it seems that one can take the rise in current, i.e. 0.1,
from the bottom of the coil to the middle of the coil and
subtract that value from the current at the top of the
coil to compensate mathematically for the curve not being
a pure cosine curve because of end-effects of the coil.

Example: Given a coil with a current of 1.0 at the bottom,
1.1 at the midpoint, and 0.8 at the top. It appears that
the ARCCOS(0.8-0.1) = ARCCOS(0.7) may yield an approximation
for the delay in degrees through the coil, i.e. ARCCOS(0.7)
equals ~45 degrees.

This makes sense to me since the current profile through
the coil is obviously not a pure cosine wave. It is obviously
distorted by the turn-to-turn coupling of the fields. But
just as obviously, this is an empirical curve-fitting technique
as used by Drs. Corum.
--
73, Cecil, IEEE, OOTC,
http://www.w5dxp.com

Cecil Moore[_2_] May 8th 09 08:51 PM

Dual-Z0 Stubs
 
Jim Kelley wrote:
Personally, I think some actual measurements would help enormously in
formulating/evaluating a model. Otherwise all we have is hand waving
and proselytizing.


I have reported my 25 nS actual measurements
using my dual-trace 100 MHz o'scope.

I assume that your physics lab has the ability
to perform such a simple measurement. May I
suggest that you simply perform the experiment
and report the results - or get one of your
students to do it.

I suspect that others have done such experiments,
measured what I measured, and are withholding the
results for obvious reasons.
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Richard Harrison May 8th 09 09:01 PM

Dual-Z0 Stubs
 
Art wrote:
"Thus Kraus`s antennas are not in equilibrium and thus deviated away
from Maxwell`s laws."

Impossible.

Maxwell`s laws are all that is nscessary and sufficient to describe
radiation from any antenna.

On page 37 of Kraus & Marthelka`s "Antennas for All Applications" one
can read:

"Although a charge moving with uniform velocity along a sreaighr
conductor does not radiate, a charge moving back and forth in simple
harmonic motion along the conductor is subject to aceleration (and
deceleration) and radiates."

To better understand Maxwell and radiation, I recommend
"Radio-Electronic Transmission Fundamentals" by B. Whitfield Griffith,
Jr (now reprinted by Scitech Publishing Inc..

See "Directive Patterns Over Real Groind" in the "ARRL Antenna Book"
for how rays combine to make a pattern.

Best regards, Richard Harrison, KB5WZI



Jim Kelley May 8th 09 09:38 PM

Dual-Z0 Stubs
 
Cecil Moore wrote:

I assume that your physics lab has the ability
to perform such a simple measurement. May I
suggest that you simply perform the experiment
and report the results - or get one of your
students to do it.


I'm not the one hawking the tonic, Cecil. But send me the coil, and
I'll happily test it, report back, and return it to you after.

ac6xg

[email protected] May 8th 09 10:24 PM

Dual-Z0 Stubs
 
Jim,

I don't have the measurement capabilities that some of you folk have,
so I'm just using EZNEC as my "experimental equipment". I'm being
assured that it's representative of what I would see "for real", and
it's easier pressing keys than building new test equipment :) Are you
suggesting that "real world" current measurements would be
significantly different than the EZNEC predictions?

I gather from your response that you feel the Corum model is
inappropriate for the "bugcatcher", but you're not advocating an
alternative? That's the part I struggle with - if a model gets close
(albeit not perfect) to predicting "real world" performance, and
there's no other alternative being put forward, I don't see the reason
for rejecting it so forcefully?

73,
Steve G3TXQ


On May 8, 8:21*pm, Jim Kelley wrote

Hi Steve,

Personally, I think some actual measurements would help enormously in
formulating/evaluating a model. *Otherwise all we have is hand waving
and proselytizing.

73, ac6xg




Tom Donaly May 8th 09 10:44 PM

Dual-Z0 Stubs
 
wrote:
Jim,

I don't have the measurement capabilities that some of you folk have,
so I'm just using EZNEC as my "experimental equipment". I'm being
assured that it's representative of what I would see "for real", and
it's easier pressing keys than building new test equipment :) Are you
suggesting that "real world" current measurements would be
significantly different than the EZNEC predictions?

I gather from your response that you feel the Corum model is
inappropriate for the "bugcatcher", but you're not advocating an
alternative? That's the part I struggle with - if a model gets close
(albeit not perfect) to predicting "real world" performance, and
there's no other alternative being put forward, I don't see the reason
for rejecting it so forcefully?

73,
Steve G3TXQ


On May 8, 8:21 pm, Jim Kelley wrote
Hi Steve,

Personally, I think some actual measurements would help enormously in
formulating/evaluating a model. Otherwise all we have is hand waving
and proselytizing.

73, ac6xg




You know quite a bit about antennas, Steve, so you should know the
answer to the following:
1. Mathematically, what does MoM do?
2. Why would anyone use MoM if there were a set of symbolic equations
that would work just as well?
3. When are we going to see the Corum-Moore method in the textbooks?
73,
Tom Donaly, KA6RUH

[email protected] May 8th 09 11:04 PM

Dual-Z0 Stubs
 
Hi Tom,

Well I don't know as much about antennas as I would like :)

I take your response to mean that you think only MoM can model a
"bugcatcher" coil accurately, and that you are dismissing the apparent
accuracy with which the Corum model predicts some coil performance
parameters?

I don't subscribe to the Corum-Moore "label". The genesis of the
transmission-line approach to coil analysis seems to go back a long
way from what I've read, and I don't think Cecil deserves or claims
any recognition for it. Besides the method might suddenly begin to
appear in all the text books - think how you'd feel then if it
included his name;)

Steve G3TXQ



On May 8, 10:44*pm, "Tom Donaly" wrote:

You know quite a bit about antennas, Steve, so you should know the
answer to the following:
1. Mathematically, what does MoM do?
2. Why would anyone use MoM if there were a set of symbolic equations
that would work just as well?
3. When are we going to see the Corum-Moore method in the textbooks?
73,
Tom Donaly, KA6RUH



Dave May 9th 09 12:07 AM

Dual-Z0 Stubs
 

"Art Unwin" wrote in message
...
Atta boy,
Keep using that slide rule from your school days, there is absolutely
no reason why you should change and update


actually, i think i still have one or two of those laying around here
somewhere.


Jim Kelley May 9th 09 12:33 AM

Dual-Z0 Stubs
 
wrote:
Jim,

I don't have the measurement capabilities that some of you folk have,
so I'm just using EZNEC as my "experimental equipment". I'm being
assured that it's representative of what I would see "for real", and
it's easier pressing keys than building new test equipment :) Are you
suggesting that "real world" current measurements would be
significantly different than the EZNEC predictions?


Steve,

Try not to read too much into what I say. It'll save us both some
aggravation. What I have said is that in order to validate any
particular model, one should make measurements. I don't think there's
anything particularly inflammatory or hostile in that view. I respect
both Roy and Cecil for their work, though Roy is considerably more
careful is his use of mathematics, and I feel has considerably more
expertise in RF engineering and physics. I have no particular knowledge
or opinion on Cecil's EZNEC files, other than his rather odd take
standing wave current phase shift - whatever that is.

So why don't you tell us what you think.

73, ac6xg






Tom Ring[_2_] May 9th 09 01:07 AM

Dual-Z0 Stubs
 
Art Unwin wrote:

Atta boy,
Keep using that slide rule from your school days, there is absolutely
no reason why you should change and update


Art

Your answers are just as wrong with a slide rule, an HP15C, Fortran IV
on a 360/65, C on a 64 bit AMD or anything else you can find.

And denigrating slide rules is silly. Most of the world that surrounds
you was calculated with a slide rule's resolution. When used properly
they give answers that are as accurate as is needed for engineering.

You obviously have no clue as to what it takes to do engineering
calculations.

Richard, if I used terms improperly, I ask forgiveness.

tom
K0TAR

Tom Donaly May 9th 09 07:06 AM

Dual-Z0 Stubs
 
wrote:
Hi Tom,

Well I don't know as much about antennas as I would like :)

I take your response to mean that you think only MoM can model a
"bugcatcher" coil accurately, and that you are dismissing the apparent
accuracy with which the Corum model predicts some coil performance
parameters?

I don't subscribe to the Corum-Moore "label". The genesis of the
transmission-line approach to coil analysis seems to go back a long
way from what I've read, and I don't think Cecil deserves or claims
any recognition for it. Besides the method might suddenly begin to
appear in all the text books - think how you'd feel then if it
included his name;)

Steve G3TXQ



On May 8, 10:44 pm, "Tom Donaly" wrote:
You know quite a bit about antennas, Steve, so you should know the
answer to the following:
1. Mathematically, what does MoM do?
2. Why would anyone use MoM if there were a set of symbolic equations
that would work just as well?
3. When are we going to see the Corum-Moore method in the textbooks?
73,
Tom Donaly, KA6RUH



Nothing would please me more than to see Cecil get his name as a
reference in some textbook. It would mean that there was a high
probability that he finally got it right, and that someone confirmed
his ideas experimentally. It would also give me a good laugh.

You know, you haven't shown that the Corum model accurately measures
the bugcatcher coil. You have stated - and I have no reason to
disbelieve you - that the Corum model agrees with EZNEC. If that's the
case, it's just as easy to use EZNEC, right or wrong. MoM is a method of
obtaining numerical solutions to integral equations. The only reason to
do that is if symbolic solutions are either too difficult or impossible
to puzzle out of those same integral equations. In other words, some
very deep thinkers decided that MoM would give results superior to
algebraic approximations and hand waving, so they applied it to antenna
analysis. I don't think it's perfect. It's certainly useful. If you
think Corum is good enough for your purposes, though, go for it.

You didn't answer my first two questions, above. That's o.k., they're
just something you should think about anyway. Besides, I didn't answer
yours concerning why we keep tearing the Corum-as-developed-by-Cecil
method down without offering an alternative. Perhaps there is no
alternative. Perhaps the best anyone can do is a numerical
approximation. Think about that.
73,
Tom Donaly, KA6RUH






Tom Donaly May 9th 09 07:25 AM

Dual-Z0 Stubs
 
Tom Ring wrote:
Art Unwin wrote:

Atta boy,
Keep using that slide rule from your school days, there is absolutely
no reason why you should change and update


Art

Your answers are just as wrong with a slide rule, an HP15C, Fortran IV
on a 360/65, C on a 64 bit AMD or anything else you can find.

And denigrating slide rules is silly. Most of the world that surrounds
you was calculated with a slide rule's resolution. When used properly
they give answers that are as accurate as is needed for engineering.

You obviously have no clue as to what it takes to do engineering
calculations.

Richard, if I used terms improperly, I ask forgiveness.

tom
K0TAR


There's no point in asking forgiveness from Richard. He's read _Through
the Looking Glass_:

"I don't know what you mean by 'glory,'" Alice said.
Humpty Dumpty smiled contemptuously. "Of course you
don't - till I tell you. I meant 'there's a nice knock-down
argument for you!'"
"But 'glory' doesn't mean 'a nice knock-down argument,'" Alice
objected.
"When I use a word," Humpty Dumpty said, in rather a scornful tone,
"it means just what I choose it to mean, neither more nor less."
"The question is," said Alice, "whether you _can_ make words mean
so many different things."
"The question is," said Humpty Dumpty, "which is to be master -- thats
all."

73,
Tom Donaly, KA6RUH

[email protected] May 9th 09 09:40 AM

Dual-Z0 Stubs
 
Tom,

I thought I'd quoted some numbers in the related "Dish reflector"
thread - apologies if I did not. Here are some mo

* I modelled a coil as a spiral in EZNEC (40T, diameter=6",
length=12", #14 copper wire)
* I added a 6ft "stinger" and found the frequency where the
combination was resonant: 3.79 MHz
* I checked the feedpoint impedance without the coil present: 0.46-
j2439
* That tells me the "lumped circuit equivalent" reactance of the coil
at 3.79 MHz is +j2439 ohms
* I found the frequency where the coil was resonant with no "stinger":
6.2 MHz

Now I look at what ON4AA's "Corum method" inductance calculator tells
me:

* "Lumped circuit equivalent" reactance at 3.79 MHz: +j2449
* Self-resonant frequency: 6.3 MHz

Unless I'm missing an option, if I want to predict the RF
characteristics of a "bugcatcher" it seems I have 3 choices:

* Use Wheeler's formula
* Build a helical model in EZNEC
* Use the Corum method

Wheeler's formula is inappropriate at frequencies close to a coil's
SRF.

EZNEC and the Corum method give very close results. The Corum formulas
are not difficult to use; even if they were, there is an on-line
calculator which removes the need for any maths. So it seems to me the
Corum formulas would be the more convenient tool to use, at least for
a "first look".

73,
Steve G3TXQ


On May 9, 7:06*am, "Tom Donaly" wrote:

You know, you haven't shown that the Corum model accurately measures
the bugcatcher coil. You have stated - and I have no reason to
disbelieve you - that the Corum model agrees with EZNEC. If that's the
case, it's just as easy to use EZNEC, right or wrong. MoM is a method of
obtaining numerical solutions to integral equations. The only reason to
do that is if symbolic solutions are either too difficult or impossible
to puzzle out of those same integral equations. In other words, some
very deep thinkers decided that MoM would give results superior to
algebraic approximations and hand waving, so they applied it to antenna
analysis. I don't think it's perfect. It's certainly useful. If you
think Corum is good enough for your purposes, though, go for it.



Cecil Moore[_2_] May 9th 09 01:19 PM

Dual-Z0 Stubs
 
Tom Donaly wrote:
3. When are we going to see the Corum-Moore method in the textbooks?


"Transmission Lines and Networks", by Johnson
copyright 1950

"Fields and Waves in Modern Radio", Ramo and Whinnery,
Copyright 1944, 1953 - my fields and wave textbook
in ~1957 at Texas A&M.

The fundamentals of everything I have presented have
been in that textbook for 65 years and I'm sure it
was not the first textbook on the subject.

"Reflection and Transmission at a Discontinuity"

Equations for traveling waves vs standing waves

"Energy Theorems for Transmission Lines"

"The Idealized Helix and Other Slow-Wave Structures"

Separate forward and reflected Poynting vectors
whose ratio is rho^2

"Quarter-wave coating for Eliminating Reflections"

"Elimination of Reflections from Dielectric Slabs"

"Scattering and Transmission Coefficients"

"Directional Couplers"

Add "Antennas ..." by Kraus and Balanis
Add "Optics ..." by Hecht and Born and Wolf
Add "Traveling Wave Engineering", by Moore
Add "Reflections", by Walter Maxwell

One cannot blame one's ignorance on a lack of
textbooks.
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Cecil Moore[_2_] May 9th 09 01:32 PM

Dual-Z0 Stubs
 
wrote:
... I don't think Cecil deserves or claims any recognition for it.


I've been accused of inventing theories while at the
same time being accused of quoting others too much.

All I have ever done is borrow some technical water
from the experts who came before me to use in wearing
away some of the mythical stones presented as technical
facts by the misinformed on this newsgroup and others.
--
73, Cecil, IEEE, OOTC,
http://www.w5dxp.com

Cecil Moore[_2_] May 9th 09 01:48 PM

Dual-Z0 Stubs
 
Jim Kelley wrote:
I have no particular knowledge
or opinion on Cecil's EZNEC files, other than his rather odd take
standing wave current phase shift - whatever that is.


It's not my take, Jim, it is EZNEC's take. EZNEC
reports current on a standing-wave antenna that
closely matches the standing wave equations for
current whose phase cannot be used to measure
delay through a wire or through a loading coil.

Both w7el and w8ji used the current
on a standing wave antenna to measure phase shift
and predictably, there was negligible phase shift.
They erroneously attributed the lack of phase
shift with a lack of delay, i.e. they assumed the
proof - a well known logical fallacy.

There is no relationship between phase shift and
delay in the current on standing wave antennas
either through the wire or through a loading coil.
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Art Unwin May 9th 09 04:30 PM

Dual-Z0 Stubs
 
On May 9, 7:48*am, Cecil Moore wrote:
Jim Kelley wrote:
I have no particular knowledge
or opinion on Cecil's EZNEC files, other than his rather odd take
standing wave current phase shift - whatever that is.


It's not my take, Jim, it is EZNEC's take. EZNEC
reports current on a standing-wave antenna that
closely matches the standing wave equations for
current whose phase cannot be used to measure
delay through a wire or through a loading coil.

Both w7el and w8ji used the current
on a standing wave antenna to measure phase shift
and predictably, there was negligible phase shift.
They erroneously attributed the lack of phase
shift with a lack of delay, i.e. they assumed the
proof - a well known logical fallacy.

There is no relationship between phase shift and
delay in the current on standing wave antennas
either through the wire or through a loading coil.
--
73, Cecil, IEEE, OOTC, *http://www.w5dxp.com


Cecil
I believe Steve has vindicated you in your struggle
so you should feel good. I would avoid the tactics if I were you when
attempts are made to reserect this debate.Corum are acknowledged
experts with respect to coils and tho not as absolute as Maxwells
equations one should feel confident with respect to their works so I
feel you have finally made your point.
Well done
Art

K7ITM May 9th 09 05:35 PM

Dual-Z0 Stubs
 
On May 9, 1:40*am, wrote:
Tom,

I thought I'd quoted some numbers in the related "Dish reflector"
thread - apologies if I did not. Here are some mo

* I modelled a coil as a spiral in EZNEC (40T, diameter=6",
length=12", #14 copper wire)
* I added a 6ft "stinger" and found the frequency where the
combination was resonant: 3.79 MHz
* I checked the feedpoint impedance without the coil present: 0.46-
j2439
* That tells me the "lumped circuit equivalent" reactance of the coil
at 3.79 MHz is +j2439 ohms
* I found the frequency where the coil was resonant with no "stinger":
6.2 MHz

Now I look at what ON4AA's "Corum method" inductance calculator tells
me:

* "Lumped circuit equivalent" reactance at 3.79 MHz: +j2449
* Self-resonant frequency: 6.3 MHz

Unless I'm missing an option, if I want to predict the RF
characteristics of a "bugcatcher" it seems I have *3 choices:

* Use Wheeler's formula
* Build a helical model in EZNEC
* Use the Corum method

Wheeler's formula is inappropriate at frequencies close to a coil's
SRF.

EZNEC and the Corum method give very close results. The Corum formulas
are not difficult to use; even if they were, there is an on-line
calculator which removes the need for any maths. So it seems to me the
Corum formulas would be the more convenient tool to use, at least for
a "first look".

73,
Steve G3TXQ

On May 9, 7:06*am, "Tom Donaly" wrote:



You know, you haven't shown that the Corum model accurately measures
the bugcatcher coil. You have stated - and I have no reason to
disbelieve you - that the Corum model agrees with EZNEC. If that's the
case, it's just as easy to use EZNEC, right or wrong. MoM is a method of
obtaining numerical solutions to integral equations. The only reason to
do that is if symbolic solutions are either too difficult or impossible
to puzzle out of those same integral equations. In other words, some
very deep thinkers decided that MoM would give results superior to
algebraic approximations and hand waving, so they applied it to antenna
analysis. I don't think it's perfect. It's certainly useful. If you
think Corum is good enough for your purposes, though, go for it.




Steve, this is fine for a base loading coil, but I'd suggest you try
your experiment with a loading coil well up the antenna, where the
coil is significantly larger diameter than the straight conductor in
which it's placed. The same size coil you described (though
presumably a different number of turns), placed at least half way up
something like a 15 or 20 foot long thin wire, should illustrate the
point. Is the EZNEC model then in such good agreement with placing a
reactive load at that point in the antenna, where the reactance is
from ON4AA's online calculator?

If I trusted NEC to handle large steps in conductor diameter
accurately, I'd suggest putting a segment in the antenna description
to represent the length and diameter of the coil, with the calculated
reactance placed as a load in that segment. As I understand it,
though, NEC has trouble with large diameter steps.

Cheers,
Tom

Cecil Moore[_2_] May 9th 09 07:08 PM

Dual-Z0 Stubs
 
K7ITM wrote:
Steve, this is fine for a base loading coil, but I'd suggest you try
your experiment with a loading coil well up the antenna, where the
coil is significantly larger diameter than the straight conductor in
which it's placed. The same size coil you described (though
presumably a different number of turns), placed at least half way up
something like a 15 or 20 foot long thin wire, should illustrate the
point. Is the EZNEC model then in such good agreement with placing a
reactive load at that point in the antenna, where the reactance is
from ON4AA's online calculator?


The key to understanding this question and its logical
answer lies in the phase shift that occurs at impedance
discontinuities.

For a base-loading coil, there is only one impedance
discontinuity in the system, a hi-Z0 coil to a low-Z0
stinger. That single discontinuity provides a positive
phase shift at the '+' junction of the coil and stinger.

coil stinger
FP//////////+-------------------

When a straight shaft section is installed under the
coil, it introduces one additional impedance discontinuity
at 'x' in addition to the '+' top of coil to stinger
discontinuity.

base coil stinger
FP-------x////////////+---------

Because the impedance discontinuity between the base
section is a low-Z0 to hi-Z0 transition, the phase shift
is negative, i.e. the antenna *loses electrical degrees*
at that junction.

Therefore, more turns must be added to the inductor
to supply the number of negative degrees lost at the
base section to coil impedance discontinuity.

This might best be illustrated with pieces of transmission
line. Please reference my web page at:

http://www.w5dxp.com/shrtstub.htm

The following concepts apply to the above antennas but
may be easier to understand using transmission lines.

Here is a dual-Z0 stub that is physically 44.4 degrees
long but is 90 degrees (1/4WL) long electrically, i.e.
it is functionally a 1/4WL open-circuit stub.

---22.2 deg 300 ohm line---+---22.2 deg 50 ohm line---

The Z0=300 ohm to Z0=50 ohm transition provides for
+45.6 degrees of phase shift. This is akin to the base-
loaded antenna above.

Here is a dual-Z0 stub with 11.1 degrees (half) of
the 50 ohm line moved to the left. (The words are
abbreviated because of space on the line.)

--11.1 deg 50--+--22.2 deg 300--+--11.1 deg 50--

Who can tell me how long electrically is this stub
using the identical feedlines from the above example?

This reconfigured stub with half of the 50 ohm feedline
moved to the bottom is now electrically only ~80.6 degrees
long. What has happened? The new impedance discontinuity
from the base section at the bottom of the coil has cost
us electrical degrees by providing a *negative phase shift*.

How do we solve the problem? Add some length (degrees) to
the Z0=300 ohm section. If we make the 300 ohm section
38.5 degrees long, the stub will be electrically 90 degrees
long once again.

This is conceptually the same problem we encounter when
we move the loading coil from the base location to the
center location. When we move the coil up the shaft, we
introduce a negative phase shift at the bottom of the
coil. Therefore, we must increase the number of turns
to make the loading coil electrically longer.

Incidentally, w8ji knows about the coil to stinger
positive phase shift and describes it on his web page.
He apparently doesn't know about the opposite negative
phase shift at the bottom of the coil where the shaft
attaches.
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Richard Harrison May 9th 09 07:26 PM

Dual-Z0 Stubs
 
Cecil Moore wrote:
"One cannot blame one`s ignorance on a lack of textbooks."

True. The most reliable in my opinion is Terman`s 1955 opus "Electronic
and Radio Engineering".

Terman agrees with Cecil.

On page 854 Terman writes:
"The laws governing such radiation are obtained by using Maxwell`s
equations to express the fields associated with the wire; when this is
done there is found to be a component, termed the radiation field,
having a strength that varies inversely with distance."

Terman then gives the formula for the electric field strength in terms
of distance from the elementary doublets in the wire that make up the
antennna to a distant observing point P, and angle of the direction of
point P with respect to a plane perpendicular to the axis of the
elementary doublet. The strength of the radiated field is distributed in
space in accordance with the doughnut pattern for a thin wire which is
short compared with wavelength and has a figure-of-8 cross section.
Illustrations are provided on page 865. On page 866 Terman illustrates
current distribution on an antenna open circuited at both ends and made
up of elementary doublets. On page 867 Terman says:
"A wire antenna is a circuit with distributed constants; hence the
current distribution in a wire antenna that results from the application
of a localized voltage follows the principles discussed in Chap. 4
(Transmission Lines), and depends upon the antenna length, measured in
wavelengths; the terminations at the ends of the antenna wire; and the
losses in the system. The current distribution is also affected by the
ratio of the wire length to diameter in situations where the wire is
unusually thick. Under most circumstances the losses are sufficiently
low and the ratio of wire length to diameter sufficiently great so that
to a first approximation very closely the current distribution can be
taken as that for a line with zero losses; it then has the
characteristics discussed in 4-5.

Best regards, Richard Harrison. KB5WZI



Cecil Moore[_2_] May 9th 09 08:28 PM

Dual-Z0 Stubs
 
Richard Harrison wrote:
"A wire antenna is a circuit with distributed constants; hence the
current distribution in a wire antenna that results from the application
of a localized voltage follows the principles discussed in Chap. 4
(Transmission Lines), and depends upon the antenna length, measured in
wavelengths; the terminations at the ends of the antenna wire; and the
losses in the system."


In other words, an antenna acts a lot like a lossy
transmission line where the loss from the system
is radiation.

Here's a transmission line example using resistance
wire in a transmission line to emulate the losses
normally due to radiation in an antenna. Note that
the feedpoint impedance is around 35 ohms.

http://www.w5dxp.com/stub_dip.EZ
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

[email protected] May 9th 09 09:56 PM

Dual-Z0 Stubs
 
Tom,

OK, I tried what you suggested. I put my loading coil midway up a 20ft
vertical wire in the EZNEC model. I reduced the number of turns to
lift the resonant frequency to 5.6MHz. EZNEC predicted that the
magnitude of the current at the top of the coil would be 77% of the
magnitude at the bottom.

Then I removed the coil in the model, replaced it with a straight wire
containing an EZNEC lumped load, and adjusted that load for antenna
resonance at 5.6MHz again. I needed +j1630.

Given the dimensions of the coil, the Corum calculator predicted a
lumped circuit equivalent reactance of +j1573, and it predicted a
current fall-off across the coil of 78%.

73,
Steve G3TXQ


On May 9, 5:35*pm, K7ITM wrote:

Steve, this is fine for a base loading coil, but I'd suggest you try
your experiment with a loading coil well up the antenna, where the
coil is significantly larger diameter than the straight conductor in
which it's placed. *The same size coil you described (though
presumably a different number of turns), placed at least half way up
something like a 15 or 20 foot long thin wire, should illustrate the
point. *Is the EZNEC model then in such good agreement with placing a
reactive load at that point in the antenna, where the reactance is
from ON4AA's online calculator?



Tom Donaly May 9th 09 10:06 PM

Dual-Z0 Stubs
 
wrote:
Tom,

I thought I'd quoted some numbers in the related "Dish reflector"
thread - apologies if I did not. Here are some mo

* I modelled a coil as a spiral in EZNEC (40T, diameter=6",
length=12", #14 copper wire)
* I added a 6ft "stinger" and found the frequency where the
combination was resonant: 3.79 MHz
* I checked the feedpoint impedance without the coil present: 0.46-
j2439
* That tells me the "lumped circuit equivalent" reactance of the coil
at 3.79 MHz is +j2439 ohms
* I found the frequency where the coil was resonant with no "stinger":
6.2 MHz

Now I look at what ON4AA's "Corum method" inductance calculator tells
me:

* "Lumped circuit equivalent" reactance at 3.79 MHz: +j2449
* Self-resonant frequency: 6.3 MHz

Unless I'm missing an option, if I want to predict the RF
characteristics of a "bugcatcher" it seems I have 3 choices:

* Use Wheeler's formula
* Build a helical model in EZNEC
* Use the Corum method

Wheeler's formula is inappropriate at frequencies close to a coil's
SRF.

EZNEC and the Corum method give very close results. The Corum formulas
are not difficult to use; even if they were, there is an on-line
calculator which removes the need for any maths. So it seems to me the
Corum formulas would be the more convenient tool to use, at least for
a "first look".

73,
Steve G3TXQ



Did you make such a coil and measure its self-resonant frequency? The
reason I ask is that I put the dimensions of an old coil I had
(D=155mm,length=140mm,wire diameter=1.3mm,N=27 turns) into ON4AA's
calculator and got a self resonant number of 7.4137 Mhz. When I measured
it, though, it was 8.93 Mhz. Where did I go wrong? Maybe I entered the
numbers incorrectly.
73,
Tom Donaly, KA6RUH

[email protected] May 9th 09 10:20 PM

Dual-Z0 Stubs
 
Tom,

I just modelled that coil in EZNEC and it was self-resonant at 7.5MHz
- very close to the Corum model prediction of 7.4137MHz.

Interesting that both EZNEC and the Corum are wrong and by the same
amount!

73,
Steve G3TXQ



On May 9, 10:06*pm, "Tom Donaly" wrote:

Did you make such a coil and measure its self-resonant frequency? The
reason I ask is that I put the dimensions of an old coil I had
(D=155mm,length=140mm,wire diameter=1.3mm,N=27 turns) into ON4AA's
calculator and got a self resonant number of 7.4137 Mhz. When I measured
it, though, it was 8.93 Mhz. Where did I go wrong? Maybe I entered the
numbers incorrectly.
73,
Tom Donaly, KA6RUH



Cecil Moore[_2_] May 9th 09 10:45 PM

Dual-Z0 Stubs
 
Tom Donaly wrote:
I put the dimensions ... into ON4AA's
calculator and got a self resonant number of 7.4137 Mhz. When I measured
it, though, it was 8.93 Mhz. Where did I go wrong?


The self resonant frequency of a coil varies wildly
with the ground provided. What ground did you provide?
Perfect? Average? None?
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Cecil Moore[_2_] May 9th 09 10:49 PM

Dual-Z0 Stubs
 
wrote:
Tom,

I just modelled that coil in EZNEC and it was self-resonant at 7.5MHz
- very close to the Corum model prediction of 7.4137MHz.

Interesting that both EZNEC and the Corum are wrong and by the same
amount!


Did you guys agree on the same ground plane? The self resonant
frequency of my 75m Texas Bugcatcher coil is very different
on my insulated wooden work-bench vs two inches above my GMC
pickup.
--
73, Cecil, IEEE, OOTC,
http://www.w5dxp.com

[email protected] May 9th 09 10:57 PM

Dual-Z0 Stubs
 
Cecil,

I tried mine above Perfect, Mininec Average, Mininec Salt Water. Self
resonant frequency was the same in each case.

Steve G3TXQ



On May 9, 10:49*pm, Cecil Moore wrote:

Did you guys agree on the same ground plane? The self resonant
frequency of my 75m Texas Bugcatcher coil is very different
on my insulated wooden work-bench vs two inches above my GMC
pickup.
--
73, Cecil, IEEE, OOTC, *http://www.w5dxp.com



Tom Donaly May 10th 09 01:06 AM

Dual-Z0 Stubs
 
Cecil Moore wrote:
wrote:
Tom,

I just modelled that coil in EZNEC and it was self-resonant at 7.5MHz
- very close to the Corum model prediction of 7.4137MHz.

Interesting that both EZNEC and the Corum are wrong and by the same
amount!


Did you guys agree on the same ground plane? The self resonant
frequency of my 75m Texas Bugcatcher coil is very different
on my insulated wooden work-bench vs two inches above my GMC
pickup.


I followed Reg's advice and hung mine from the ceiling with a thin
thread.
73,
Tom Donaly, KA6RUH

Tom Donaly May 10th 09 01:10 AM

Dual-Z0 Stubs
 
wrote:
Tom,

I just modelled that coil in EZNEC and it was self-resonant at 7.5MHz
- very close to the Corum model prediction of 7.4137MHz.

Interesting that both EZNEC and the Corum are wrong and by the same
amount!

73,
Steve G3TXQ



On May 9, 10:06 pm, "Tom Donaly" wrote:
Did you make such a coil and measure its self-resonant frequency? The
reason I ask is that I put the dimensions of an old coil I had
(D=155mm,length=140mm,wire diameter=1.3mm,N=27 turns) into ON4AA's
calculator and got a self resonant number of 7.4137 Mhz. When I measured
it, though, it was 8.93 Mhz. Where did I go wrong? Maybe I entered the
numbers incorrectly.
73,
Tom Donaly, KA6RUH



I think it's interesting, too. Maybe someone better acquainted with
testing procedures than I am can resolve the difference.
73,
Tom Donaly, KA6RUH

Tom Donaly May 10th 09 01:13 AM

Dual-Z0 Stubs
 
Cecil Moore wrote:
Tom Donaly wrote:
I put the dimensions ... into ON4AA's
calculator and got a self resonant number of 7.4137 Mhz. When I measured
it, though, it was 8.93 Mhz. Where did I go wrong?


The self resonant frequency of a coil varies wildly
with the ground provided. What ground did you provide?
Perfect? Average? None?


If that's true, the Corum brothers should have included that in
their formulas.
73,
Tom Donaly, KA6RUH

Cecil Moore[_2_] May 10th 09 03:40 AM

Dual-Z0 Stubs
 
Tom Donaly wrote:
I followed Reg's advice and hung mine from the ceiling with a thin
thread.


That would certainly make it act differently
than over a good ground plane.

Where was your ground/counterpoise? Which self-
resonant frequency did you see? 1/4WL? 1/2WL?
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Cecil Moore[_2_] May 10th 09 03:47 AM

Dual-Z0 Stubs
 
Tom Donaly wrote:
If that's true, the Corum brothers should have included that in
their formulas.


Their formulas assume a near-perfect ground plane.
See Figure 2.
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Cecil Moore[_2_] May 10th 09 03:49 AM

Dual-Z0 Stubs
 
Tom Donaly wrote:
Did you make such a coil and measure its self-resonant frequency? The
reason I ask is that I put the dimensions of an old coil I had
(D=155mm,length=140mm,wire diameter=1.3mm,N=27 turns) into ON4AA's
calculator and got a self resonant number of 7.4137 Mhz. When I measured
it, though, it was 8.93 Mhz. Where did I go wrong? Maybe I entered the
numbers incorrectly.


Please describe your test setup. Where was ground?
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Tom Donaly May 10th 09 09:25 AM

Dual-Z0 Stubs
 
Cecil Moore wrote:
Tom Donaly wrote:
Did you make such a coil and measure its self-resonant frequency? The
reason I ask is that I put the dimensions of an old coil I had
(D=155mm,length=140mm,wire diameter=1.3mm,N=27 turns) into ON4AA's
calculator and got a self resonant number of 7.4137 Mhz. When I measured
it, though, it was 8.93 Mhz. Where did I go wrong? Maybe I entered the
numbers incorrectly.


Please describe your test setup. Where was ground?


I'll tell you what, Cecil. If you'll test your coil, and
describe how you did it, I'll tell you what I did. Fair?
I know you're champing at the bit to claim my test setup was all
wrong and that I used standing wave current when I should have
been using traveling wave current, and all that, but you'll just
have to wait. I reported this in order to get you keyboard theorists
off your fundaments and start dealing with the real world. If you don't,
you'll forever be plagued by the nagging thought that I might be right.
Horrors!
73,
Tom Donaly, KA6RUH

(P.S. If you don't know how to test for a coil's self-resonant
frequency, you should go back to Texas A&M and ask for your money
back.)

[email protected] May 10th 09 01:09 PM

Dual-Z0 Stubs
 
Tom,

You posted earlier "Why would anyone use MoM if there were a set of
symbolic equations that would work just as well?"

We now have a situation where MoM (EZNEC) and a set of symbolic
equations (Corum method) are predicting very similar SRFs.

"Verbal sparring" about measurement methods aside, I think it's
important to try to understand what's causing the differences between
the EZNEC/Corum value and the measured value. Of course it's possible
that EZNEC is in error, but it seems odd to me that the Corum value
(derived by a completely unrelated technique) would also produce the
same erroneous value.

My EZNEC model had the coil 12" above Real Mininec ground, and
connected to ground via a 12" vertical wire with the source in it. I
simply looked for the frequency at which the source impedance was
purely resistive. The SRF was relatively insensitive to the height of
the coil above ground, and changing the ground type made no
difference.

I wonder if that model is anything like your own test set-up, and if
not whether the differences could explain the different SRFs we're
seeing.

73,
Steve G3TXQ


Cecil Moore[_2_] May 10th 09 02:29 PM

Dual-Z0 Stubs
 
Tom Donaly wrote:
I know you're champing at the bit to claim my test setup was all
wrong and that I used standing wave current when I should have
been using traveling wave current, and all that, but you'll just
have to wait.


That's not true at all, Tom. It's a trivial procedure
to use standing waves to determine the approximate 1/4WL
self-resonant frequency. But as with 1/4WL monopoles,
there is *NO 1/4WL self-resonant frequency* without a
ground plane or counterpoise and the quality of the
ground-plane/counterpoise has an effect on the self-
resonant frequency. Sorry, I don't have anything
approaching a perfect ground plane for 4 MHz.

I suppose one could use two identical coils and turn it
into a dipole but I don't have another 75m Texas Bugcatcher
loading coil.

Let me say once again: A 1/4WL monopole, all by itself
in free space is *NOT resonant*. After all, making guy wire
segments 1/4WL long is one way of breaking up their resonance.

We are not looking for super high accuracy/precision/resolution
here. Almost everything is an approximation because we don't
share exactly the same test environments. All I am after is
the technical truth - there's nothing personal involved.

Neither is a 1/4WL coil self-resonant all by itself in free
space. I don't know what Reg was thinking if he advised hanging
the coil from the ceiling without a counterpoise.

A traveling wave can be used to determine 1/4WL self-resonance
but it is a little more complicated than using an MFJ-259B
with standing waves. A load resistor minimizes reflections
while current probes are used to measure the phase shift through
the coil. When the phase shift is 90 degrees, that's the 1/4WL
self-resonant frequency.

I'll tell you what, Cecil. If you'll test your coil, and
describe how you did it, I'll tell you what I did. Fair?


1. I connected my 75m Texas Bugcatcher coil through about
a foot of wire to the bumper mount on my GMC pickup and
connected my MFJ-259B to the coax connector under the
bumper. I tuned for lowest impedance above 4 MHz. The
1/4WL self-resonant frequency was ~6.6 MHz. These
measurements were done and reported in March, 2006.

2. I used a tri-mag mount sitting on the hood of my GMC
pickup fed through ~6' of coax. The 1/4WL self-resonant
frequency was ~6.9 MHz.

3. I used a traveling wave on top of a wooden bench and
found the frequency at which the phase shift through the
coil was ~90 degrees. That frequency was ~7.2 MHz.

4. I modeled the coil with EZNEC and got some segmentation
length warnings. EZNEC reported the 1/4WL self-resonant
frequency to be 7.96 MHz.

The spread in the above frequency figures is about +/-8%.

Again Tom, the only thing I am after is the technical
truth. If that is also what you are after, we should
have no personal conflicts.
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Cecil Moore[_2_] May 10th 09 02:46 PM

Dual-Z0 Stubs
 
wrote:
... and changing the ground type made no difference.


But Tom hung his coil from the ceiling making ground
about five feet away through empty space. What if you
raise your system five feet above ground and don't run
a wire to ground? i.e. no counterpoise at all.
--
73, Cecil, IEEE, OOTC,
http://www.w5dxp.com

Cecil Moore[_2_] May 10th 09 02:52 PM

Dual-Z0 Stubs
 
Cecil Moore wrote:
4. I modeled the coil with EZNEC and got some segmentation
length warnings. EZNEC reported the 1/4WL self-resonant
frequency to be 7.96 MHz.


The above modeling was done using a traveling wave,
i.e. with the coil terminated in its Z0.

5. Using standing waves, i.e. no termniation, EZNEC
said the 1/4WL self-resonant frequency was 7.724 MHz.
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com

Tom Donaly May 10th 09 10:52 PM

Dual-Z0 Stubs
 
wrote:
Tom,

You posted earlier "Why would anyone use MoM if there were a set of
symbolic equations that would work just as well?"

We now have a situation where MoM (EZNEC) and a set of symbolic
equations (Corum method) are predicting very similar SRFs.

"Verbal sparring" about measurement methods aside, I think it's
important to try to understand what's causing the differences between
the EZNEC/Corum value and the measured value. Of course it's possible
that EZNEC is in error, but it seems odd to me that the Corum value
(derived by a completely unrelated technique) would also produce the
same erroneous value.

My EZNEC model had the coil 12" above Real Mininec ground, and
connected to ground via a 12" vertical wire with the source in it. I
simply looked for the frequency at which the source impedance was
purely resistive. The SRF was relatively insensitive to the height of
the coil above ground, and changing the ground type made no
difference.

I wonder if that model is anything like your own test set-up, and if
not whether the differences could explain the different SRFs we're
seeing.

73,
Steve G3TXQ


The presence of anything at all near the coil should lower its resonant
frequency. Even the measuring apparatus should have an effect. I think
it would require very careful planning and implementation to find an
exact resonant frequency. You'd have to ask Richard Clark how to do it
if you wanted high accuracy. I'm unwilling to find fault with either
Corum or EZNEC at this point. Making accurate models can be just
as hard as making valid experiments, and I wish you luck working with
your models. I do urge you to make a coil to test your results against,
though. It isn't difficult, and with a little help from some of your
fellow experimenters, you should get results that are very close to
being meaningful.
73,
Tom Donaly, KA6RUH

Cecil Moore[_2_] May 11th 09 01:31 AM

Dual-Z0 Stubs
 
Tom Donaly wrote:
The presence of anything at all near the coil should lower its resonant
frequency.


That's my experience. Conversely, the farther away from the
coil the ground plane is located, the higher the self-resonant
frequency. The location of the ground plane has a significant
effect on the self-resonant frequency of the coil.
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com


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