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Cecil Moore March 12th 04 02:36 PM

Reg Edwards wrote:

Regardless of impedances, with a sensibly zero-loss line it's quite obvious
ALL the power leaving the generator is dissipated in the load. There's
nowhere else for the stuff to go.


Over any delta-length of time during steady-state:
Forward waves + reflected waves = standing waves + power to the load.
The net energy in the standing waves isn't delivered to the load
until the source is switched off.
--
73, Cecil http://www.qsl.net/w5dxp



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Reg Edwards March 12th 04 03:03 PM

What happens when instead of switching off the generator the load is
disconnected?



Cecil Moore March 12th 04 03:21 PM

Gene Fuller wrote:
What I find interesting is that there is not one mention of bouncing
energy waves or waves that have disappeared but their energy lives on.


There's not one mention of "bouncing energy waves" in my postings
prior to your introduction of the term so in that area, I appear to agree
with Born and Wolf. I also agree with Born and Wolf that a one thin-film
layer can be analyzed using the older method of wave analysis and that's
exactly what I am doing. I am hoping that once people see how the thin-
film works, how an RF match point works will be obvious.

As far as energy living on, please complete the following.

_____________ is one example of energy being destroyed along with the
destruction of the source of the energy.

It is my understanding that "energy lives on" no matter what.
--
73, Cecil, W5DXP


Cecil Moore March 12th 04 03:41 PM

Richard Clark wrote:

wrote:
Maxwell's equations yield answers but give no clue as to the
detailed physical process involved.


Clueless, hmm?


Clueless with respect to the underlying processes. Extremely
accurate with respect to the net answers. Tomorrow I plan to
be in Austin. That statement says nothing about how I plan to
get there.

Here's a quote from Steve's article


Ah, the great satan having been invoked. How'd I peg that so square
on the head?


Does Steve know that you equate him to "the great satan"?

I agree with that statement. But when I ask what happens to the energy
in those two cancelled waves, all I get is silence.


That's all it merits,


Why? It's an honest question. I am absolutely amazed that physicists
and engineers don't know what happens to the energy in canceled waves.
It cannot be destroyed, it cannot stand still, and it's not incident
upon the source. Wonder what happens to it? That's a very simple honest
question.

So Richard, what
happens to the energy in those two cancelled waves? Destroyed? Bleeds
off to a parallel universe? Routed through a black hole for constructive
interference in the opposite direction? The answer is more than obvious.


From those three alternatives drawn from a hat? Three card monte is a
more honest game.


Those are only three ridiculous possibilities. Another possibility is
what the Melles-Griot web page says: The energy apparently "lost" in
the destructive interference of two rearward-traveling reflected waves
is not lost at all. It appears in (coherently joins) the forward-traveling
wave. That's a simple answer to a simple question. Do you have a better one?

And here you told us that maxwell's equations were clueless, answers
that described nothing and no help at all


Maxwell's equations work to obtain the answer as does quantum
electrodynamics. But those answers do not contain clues about the
process. The process components are what is being discussed here.
--
73, Cecil, W5DXP


Cecil Moore March 12th 04 03:51 PM

Reg Edwards wrote:
What happens when instead of switching off the generator the load is
disconnected?


A modern ham radio transmitter will fold back its output power
until it can dissipate all of it without damage. The protection
circuitry probably dissipates most of the power that had been
stored in the transmission line during steady-state full power
output.
--
73, Cecil, W5DXP


Gene Fuller March 12th 04 04:21 PM

Hi Cecil,

In a futile attempt to maintain my rapidly diminishing sanity I try to
limit my role of playing Cecil's fool on RRAA to no more than two days a
week. I will be off-line for a few days.

But first, here is a clue for the answer to your never-ending question.

Those reward traveling waves do not merely cancel at some "match point".
They cancel everywhere. In other words they do not exist. There is no
energy that needs to be explained away.

The model was set up to include these wave components, but the solution
comes back to say that those components do not really have a non-zero
amplitude. No harm done; this sort of thing happens all the time in the
solution of science and engineering problems.

Oh, one more clue. I have nothing against waves. I make my living
dealing with wave phenomena. But as the old song goes, I know when to
hold 'em, and I know when to fold 'em.

Try hauling your ox back out of the ditch. There's a whole world out there.

73,
Gene
W4SZ

Cecil Moore wrote:

Here's a quote from Steve's article: "When the system reaches the
steady state, the two rearward-traveling waves at the match point
are 180 degrees out of phase with respect to each other and a complete
cancellation of both waves occurs."

I agree with that statement. But when I ask what happens to the energy
in those two cancelled waves, all I get is silence.



Richard Harrison March 12th 04 05:13 PM

Cecil wrote:
"But when I ask what happens to the energy in these two cancelled waves,
all I get is silence."

It`s golden!

Cecil then wrote:
"Maxwell`s equations tell us that all the energy in a Zo-matched system
winds up incident upon a load."

Would Maxwell lie to you?

The question must be hidden between the lines. It may be: What mechanism
reverses the wave?

Terman may satisfy the questionn, whatever it is. Terman says of the
incident wave:
"---everywhere on the line Eprime/Iprime=Zo.
Terman says of the reflected wave:
"---everywhere on the line Edouble prime/ Idouble prime= -Zo.

The difference is only the minus sign which indicates the reversed
travel direction of the reflected wave.

Terman says on a line with an open-circuited load, that at the load,
voltages of the incident and reflected waves have the same phase but the
current of the reflected wave has the opposite phase from the reflected
voltage.

For a transmission line with a short-circuited load, behavior is the
opposite. Incident and reflected voltages are out of phase but the
currents are in phase. But, there is a 180-degree phase difference
between volts and amps in the reflected wave as in the open-circuit line
case.

The point is that at a discontinuity, upon reflection the phase between
voltage and current in a wave is reversed. That is, that either the
phase of the volts or amps flips upon reflection, not both.

My assumption is that were the phase of both volts and amps reversed at
the same time and place, you would see the same wave traveling in the
same direction but delayed or advanced by 180-degrees. Its travel
direction is unchanged.

Which is cause and which is effect? Often what is cause and what is
effect can be interchanged. Volts across a resistor produce a current.
Current in a resistor produces a voltage drop. Take your pick of cause
or effect.

A reflection may be caused by a phase reversal between voltage and
current. What causes a phase reversal? It`s the discontinuity. Stick a
mirror that obstructs the path of a light beam in the path and you have
a discontinuity. In electrical circuits we should remember Lenz and his
immutable law among obstructions.

Best regards, Richard Harrison, KB5WZI


Cecil Moore March 12th 04 06:46 PM

Gene Fuller wrote:
Those reward traveling waves do not merely cancel at some "match point".
They cancel everywhere. In other words they do not exist.


That's impossible, Gene, since those two cancelled waves originate
at opposite ends of the matched antenna system, one at the mismatched
load, and one at the physical mismatch at the Z0-match point. Your
explanation requires instantaneous action at a distance. Those two
waves are coherent but they do not suffer from quantum entanglement.

Please feel free to try again. The question is: What reverses the
direction and momentum of the energy reflected from a mismatched load?
Saying that reflections from a mismatched load don't exist is simply
denying reality. We know they must exist in order to cause standing
waves which obviously exist. Your argument contains logical contradictions.
To the best of my knowledge, mine doesn't.

The model was set up to include these wave components, but the solution
comes back to say that those components do not really have a non-zero
amplitude. No harm done; this sort of thing happens all the time in the
solution of science and engineering problems.


Again, you are talking about a net solution which is useless in
determining what is happening in real time at the component wave level.
If net solutions are all you have to offer, you have nothing to offer
for this component discussion.

Try hauling your ox back out of the ditch. There's a whole world out there.


Dripping water wears away a stone, even brains made of stone. I
intend to keep this up until someone proves me wrong with a
method besides handwaving, lip flapping, and allusions to magic
like your quantum entangled waves above.
--
73, Cecil, W5DXP


Richard Clark March 12th 04 06:51 PM

On Fri, 12 Mar 2004 09:41:43 -0600, Cecil Moore
wrote:

Tomorrow I plan to
be in Austin. That statement says nothing about how I plan to
get there.


This is the sort of consistently gratuitous discussion that renders
the entire topic without merit.

Here's a quote from Steve's article


Ah, the great satan having been invoked. How'd I peg that so square
on the head?


Does Steve know that you equate him to "the great satan"?


This time a gratuitous question.

I agree with that statement. But when I ask what happens to the energy
in those two cancelled waves, all I get is silence.


That's all it merits,


Why? It's an honest question.


You would have an entertaining time proving it everyone, but that
wouldn't mean they were convinced (or entertained, except in the sense
of morbid fascination). Again, it has no merit.

So Richard, what
happens to the energy in those two cancelled waves? Destroyed? Bleeds
off to a parallel universe? Routed through a black hole for constructive
interference in the opposite direction? The answer is more than obvious.


From those three alternatives drawn from a hat? Three card monte is a
more honest game.


Those are only three ridiculous possibilities.


And hence gratuitous, I pegged another one square on the head.

And here you told us that maxwell's equations were clueless, answers
that described nothing and no help at all


Maxwell's equations work to obtain the answer as does quantum
electrodynamics.


And yet you have never shown a lick of work in that regard, so we must
take it on faith? Like I said, all that is missing is your sagging
claims of truth, justice and the american way to bolster this supposed
knowledge. How many joules in a square cm of sunlight? Such a
question will only find specious qualifications and metaphysical
implications from you in response - but then, it is only
entertainment, cheaper than video on demand and not injurious to the
mental couch potato.

However, that entertainment value has been drained, we will pause for
your public service announcement:

Richard Clark March 12th 04 07:07 PM

On Fri, 12 Mar 2004 12:46:03 -0600, Cecil Moore
wrote:

Your argument contains logical contradictions.


Because his sources acknowledge and perform to the teachings of
Einstein and the workers in the fields of Quantum physics which allow
such contradictions.

To the best of my knowledge, mine doesn't.


Still stuck in the antediluvian, Newtonian universe.


Cecil Moore March 12th 04 07:08 PM

Richard Harrison wrote:
Which is cause and which is effect? Often what is cause and what is
effect can be interchanged. Volts across a resistor produce a current.
Current in a resistor produces a voltage drop. Take your pick of cause
or effect.


A resistor's resistance *causes* a certain V/I ratio. If there exists
a V/I ratio and no resistor, then the V/I ratio is the *cause* of the
resistance (or impedance). In other words, a resistorless resistance
cannot be the cause of anything. It is always an effect, often from
interference, and is usually lossless. Note that anything that suffers
from I^2*R dissipation is a resistor by this definition. That includes
a piece of copper wire.

A reflection may be caused by a phase reversal between voltage and
current.


We are past discussing reflections. The present argument is: Given two
coherent waves traveling in the same path with the same magnitude and
opposite phases, wave cancellation results from destructive interference.

The laws of physics tells us that energy cannot be destroyed and if
destructive interference exists, an equal magnitude of constructive
interference is required to exist. The destructive interference in
a Z0-matched system is toward the source. The constructive interference
in a Z0-matched system is toward the load. The energy components involved
in those two types of interference are traveling in opposite directions.

The conclusion is obvious. The reflected energy involved in the wave
cancellation process heads back toward the load just as explained on
the Melles-Griot web page. That there is such a large well-organized
good old boy conspiracy trying to hide these simple facts of physics
speaks volumes about the sad state of amateur radio.

http://www.mellesgriot.com/products/optics/oc_2_1.htm
--
73, Cecil, W5DXP


Cecil Moore March 12th 04 07:28 PM

Richard Clark wrote:

wrote:
Your argument contains logical contradictions.


Because his sources acknowledge and perform to the teachings of
Einstein and the workers in the fields of Quantum physics which allow
such contradictions.


Well, I guess that settles that. A thing is not what it is.
Why didn't I think of simply denying reality? I think I get
it now. When you lose an argument using a certain math model,
declare that math model to be null and void.
--
73, Cecil, W5DXP


Richard Harrison March 12th 04 09:09 PM

Cecil, W5DXP wrote:
"Given two coherent waves traveling in the same path with the same
magnitude and opposite phases, wave cancellation results from
destructive interference."

The waves don`t cancel out. Anything in their path just receives equal
and opposite influences and the effect of the waves is nil.
Sound cancellers which generate equal and opposite waves are an example.
Either the sound or antisound sources alone might be deafening, but
taken together, there is relative quiet.

Best regards, Richard Harrison, KB5WZI


Walter Maxwell March 12th 04 09:12 PM

On Fri, 12 Mar 2004 13:08:20 -0600, Cecil Moore
wrote:

We are past discussing reflections. The present argument is: Given two
coherent waves traveling in the same path with the same magnitude and
opposite phases, wave cancellation results from destructive interference.

The laws of physics tells us that energy cannot be destroyed and if
destructive interference exists, an equal magnitude of constructive
interference is required to exist. The destructive interference in
a Z0-matched system is toward the source. The constructive interference
in a Z0-matched system is toward the load. The energy components involved
in those two types of interference are traveling in opposite directions.

The conclusion is obvious. The reflected energy involved in the wave
cancellation process heads back toward the load just as explained on
the Melles-Griot web page. That there is such a large well-organized
good old boy conspiracy trying to hide these simple facts of physics
speaks volumes about the sad state of amateur radio.

http://www.mellesgriot.com/products/optics/oc_2_1.htm


It constantly amazes me that the majority of you guys on this thread just can't
seem to get (understand) the truth that Cecil's been trying to get through to
you. Where does the power in the cancelled reflected waves go? Conservation of
energy dictates that it is totally re-reflected when a complete impedance match
has been achieved. You want the wave mechanism that accomplishes this feat? I'll
get to that shortly.

In Steve Best's latest QEX article, Part 3, bottom of Page 43, beginning with
the section titled, "The Total Reflection Fallacy" and continuing ONLY on the
left column of Page 44, Steve tells it like it is, correctly. Then why does he
call it a Fallacy? Please be patient and I'll tell you why.

Steve' correct explanation of the matching process in that single column was
taken directly from my writings in ARRL journals. Paraphrased, yes, but
correctly so.

My first publication of this issue appeared in QST, October 1973, entitled, "A
View Into the Conjugate Mirror." This article appears in both Eds 1 and 2 of
Reflections as Chapter 4, Steve also copied from another of my articles, this
one in QEX,, Mar/Apr 1998, entitled "Examining the Mechanics of Wave
Interference in Impedance Matching," which also appears in Reflections 2 as
Chapter 23.

Steve and I have been in contentious controversy on this subject for several
years. He continued this controversy by publishing this totally erroneous
material in QEX,, erroneous except for the portion in the single column where he
presented my material correctly. The remaining portion of his article is simply
an unsuccessful attempt to show that my position is incorrect, and therefore
calls it a 'fallacy'.

In fact, however, the entire portion following the correct portion he copied
from me is where the REAL fallacy lies--it proves that he knows very little
about the subject of his title, "Wave Mechanics of Transmission Lnes." It also
shows he doesn't have a clue concerning the superposition of two rearward
traveling waves that are conjugately related at the matching point. In fact,
the two waves cancel each other, and establish either a one-way open circuit or
a one-way short circuit that totally re-reflects the reflected power, with its
voltage and current components traveling in the same phase as t;hose from the
source, and therefore adding to the source power.

I know that many on this thread believe that no open or short circuit can be
established by the superposition of waves. It is true that forward and reflected
waves, traveling in OPPOSITE directions establish only the standing wave--no
open or short circuits. But it's a different ball game when two waves traveling
in the SAME direction are conjugately related. The waves are conjugately related
because the canceling wave generated by the matching device is tailored to have
the same magnitude but opposite phase as the wave reflected from the mismatched
load on the transmission line.

Here's why a short or open circuit is established when conjugately related waves
join at a matching point. From an analytic viewpoint the voltage appearing at
any point on the line can be replaced with a generator delivering the same
voltage at the same phase that appears at that point. This generator is called a
'point' generator that delivers an impedance-less EMF. Now consider one
generator delivering the voltage appearing in the wave reflected at the
mismatched load and a second generator delivering the voltage from the canceling
wave reflected by a matching stub, or whatever the matching device, at the same
point on the line as the first. The voltage from this second generator has the
same magnitude, but opposite phase from that of the first generator. When the
voltages delivered by the t wo generators are 180 degrees out of phase we have a
short circuit--if they're in phase we have an open circuit. As the result, in
either of these two conditions no reflected wave can pass rearward of the
matching point.

From the simple fact that the impedance at the input of an antenna tuner is 50+
j0 we know that no reflected power is traveling rearward further than the tuner
input. Where did the power in the reflected wave go? That energy cannot
disappear as if by some sort of magic--it is totally re-reflected by the open or
short circuit, and adds to the source power to establish a forward power equal
to the sum of the source and reflected power.

I hope this helps to end the confusion, and also gives Cecil what he deserves
for his attempt to give you guys the straight dope.

Walt, W2DU




Richard Clark March 12th 04 09:23 PM

On Fri, 12 Mar 2004 13:28:37 -0600, Cecil Moore
wrote:
When you lose an argument using a certain math model,
declare that math model to be null and void.


You were expecting chopped liver?

Cecil Moore March 12th 04 10:30 PM

Richard Harrison wrote:

Cecil, W5DXP wrote:
"Given two coherent waves traveling in the same path with the same
magnitude and opposite phases, wave cancellation results from
destructive interference."

The waves don`t cancel out. Anything in their path just receives equal
and opposite influences and the effect of the waves is nil.


I assume you are not asserting that canceled waves' effects become
nil, i.e. undetectable, until the end of time yet they still possess
the same amount of energy as always except now that energy is completely
undetectable for the rest of the life of the universe. Consider the
ramifications of what you are asserting.

Seems to me, canceled waves must *cease to exist* at a point in space-time
if they exhibit zero measurable evidence of their existence forever after
(plus exactly that same amount of energy is required by the system in the
opposite direction).

Incidentally, that was Dr. Best's argument. The energy in the canceled
waves continues to propagate forever in the opposite direction of the
load. Never mind, that exact same amount of energy is required for constructive
interference in the opposite direction and cannot just be created out
of nothing. That's when he left the newsgroup.

For constructive interference to exist, energy from destructive interference
MUST be supplied from somewhere real, according to Hecht in _Optics_.
The conservation of energy principle agrees with Hecht as it
did during the spring of '01 when the arguments were raging between
Dr. Best and me. There is still not enough energy only in P1 and P2 to
make P1 + P2 + 2*(P1*P2) equal to the forward power. The 2*(P1*P2) is
known in the field of optics as the "interference term" and obviously
is supplied from destructive interference between two reflected waves.
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore March 12th 04 10:31 PM

Richard Clark wrote:

wrote:
When you lose an argument using a certain math model,
declare that math model to be null and void.


You were expecting chopped liver?


No, I was expecting a modicum of rationality - silly me.
--
73, Cecil http://www.qsl.net/w5dxp



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Richard Harrison March 13th 04 01:39 AM

Cecil, W5DXP wrote:
"Seems to me, canceled waves must "cease to exist" at a point in space
time if they exhibit zero measurable evidence of their existence forever
after---."

A union of two waves can make them both disappear if they are exact
opposites, but elimination of just one of the two produces the the
other. Were the two waves actually annhilated by their coexistence on
the path together, they would not be exhibitable on demand by
turning-off one or the other constituent.

Best regards, Richard Harrison, KB5WZI


Cecil Moore March 13th 04 05:03 AM

Richard Harrison wrote:

Cecil, W5DXP wrote:
"Seems to me, canceled waves must "cease to exist" at a point in space
time if they exhibit zero measurable evidence of their existence forever
after---."

A union of two waves can make them both disappear if they are exact
opposites, but elimination of just one of the two produces the the
other. Were the two waves actually annhilated by their coexistence on
the path together, they would not be exhibitable on demand by
turning-off one or the other constituent.


Of course they would, Richard, since the destructive interference ceases
when one of them is turned off. What happens while the two waves are
engaging in total destructive interference is that their combined energy
components flow in the opposite direction as a constructive interference
wave. That's why Melles-Griot says the rearward flowing "lost" energy
involved in the destructive interference is not lost at all and instead
joins the forward wave traveling in the opposite direction. That's why
the rearward-flowing reflected wave energy all winds up flowing toward
the load in a Z0-matched system.

Let's say I am a light year away from two interfering waves at your
location. I am measuring zero energy. You switch off one of the signals.
How long does it take for me to sense any energy? - a year because the
energy pipeline is empty before you switch off one of the signals.
There's no energy flowing toward me while both signals are on.
--
73, Cecil http://www.qsl.net/w5dxp



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Richard Harrison March 13th 04 04:04 PM

Cecil, W5DXP wrote:
"You switch off one of the signals. How long does it take for me to
sense any energy?"

Yes, if the transit time is one year, that`s how long it takes to sense
any change in received signal.

I was wrong when I wrote waves would be exhibitable on demand were they
annhilated. Cecil was right. It makes no difference whether two equal
and opposite signals are received or no signal is received. Same result.

What happens at an open circuit on a transmission line? The current is
interrupted and must reverse direction as it has nowhere else to go. A
changed direction is a reversed polarity so incident and reflected
currents add to zero.

Energy in the magnetic field is eliminated by the addition to zero of
the incident and reflected currents. This canceled energy goes to the
only place it can go, into the electric field. This results in doubling
the voltage at the open-circuit end of the line.

In a short-circuit on a line, the current doubles and the voltage goes
to zero.

1/4-wave back from a short, a near open circuit exists. !/4-wave back
from an open or a short, conditions are inverted on a low-loss line.
Where there is an open-circuit at the end of a line, a near short
circuit exists 1/4-wave back.

I think that at the open circuit at the end of a line, the excess
voltage launches the reflected wave. At the short on a line, excess
current launches a reverse wave. Voltage produces current and current
produces voltage. Voltage and current are dominnated by the Zo of the
line in all movement through the line.

Cecil has argued that the high impedance at the open end of a shorted
1/4-wave stub does not inhibit current into the stub. The reflection
point is at the short, not at the high impedance point back 1/4-wave
from the short. That sounds reasonable to me, but I wonder if it makes
any difference.

Best regards, Richard Harrison, KB5WZI



Walter Maxwell March 13th 04 06:06 PM

On Fri, 12 Mar 2004 21:12:23 GMT, Walter Maxwell wrote:


My first publication of this issue appeared in QST, October 1973, entitled, "A
View Into the Conjugate Mirror." This article appears in both Eds 1 and 2 of
Reflections as Chapter 4, Steve also copied from another of my articles, this
one in QEX,, Mar/Apr 1998, entitled "Examining the Mechanics of Wave
Interference in Impedance Matching," which also appears in Reflections 2 as
Chapter 23.

Steve and I have been in contentious controversy on this subject for several
years. He continued this controversy by publishing this totally erroneous
material in QEX,, erroneous except for the portion in the single column where he
presented my material correctly. The remaining portion of his article is simply
an unsuccessful attempt to show that my position is incorrect, and therefore
calls it a 'fallacy'.

In fact, however, the entire portion following the correct portion he copied
from me is where the REAL fallacy lies--it proves that he knows very little
about the subject of his title, "Wave Mechanics of Transmission Lnes." It also
shows he doesn't have a clue concerning the superposition of two rearward
traveling waves that are conjugately related at the matching point. In fact,
the two waves cancel each other, and establish either a one-way open circuit or
a one-way short circuit that totally re-reflects the reflected power, with its
voltage and current components traveling in the same phase as t;hose from the
source, and therefore adding to the source power.

I know that many on this thread believe that no open or short circuit can be
established by the superposition of waves. It is true that forward and reflected
waves, traveling in OPPOSITE directions establish only the standing wave--no
open or short circuits. But it's a different ball game when two waves traveling
in the SAME direction are conjugately related. The waves are conjugately related
because the canceling wave generated by the matching device is tailored to have
the same magnitude but opposite phase as the wave reflected from the mismatched
load on the transmission line.

Here's why a short or open circuit is established when conjugately related waves
join at a matching point. From an analytic viewpoint the voltage appearing at
any point on the line can be replaced with a generator delivering the same
voltage at the same phase that appears at that point. This generator is called a
'point' generator that delivers an impedance-less EMF. Now consider one
generator delivering the voltage appearing in the wave reflected at the
mismatched load and a second generator delivering the voltage from the canceling
wave reflected by a matching stub, or whatever the matching device, at the same
point on the line as the first. The voltage from this second generator has the
same magnitude, but opposite phase from that of the first generator. When the
voltages delivered by the t wo generators are 180 degrees out of phase we have a
short circuit--if they're in phase we have an open circuit. As the result, in
either of these two conditions no reflected wave can pass rearward of the
matching point.

From the simple fact that the impedance at the input of an antenna tuner is 50+
j0 we know that no reflected power is traveling rearward further than the tuner
input. Where did the power in the reflected wave go? That energy cannot
disappear as if by some sort of magic--it is totally re-reflected by the open or
short circuit, and adds to the source power to establish a forward power equal
to the sum of the source and reflected power.

I hope this helps to end the confusion, and also gives Cecil what he deserves
for his attempt to give you guys the straight dope.

Walt, W2DU

This is a post script to go along with the above discussion.

Sorry, Guys, I forgot to mention that for those of you who don't have access to
my QEX article, or Chapter 23 in Reflections, Chapter 23 appears in PDF form for
downloading from my web page at http://home.iag.net/~w2du.

I would also like to add that from the first QST article I published on this
subject in 1973, and the QEX article in 1998, I have received more than one
hundred responses from RF engineers saying that my explanation of impedance
matching via wave mechanics gave them the first real understanding of how the
impedance matching process works. No one, other than Steve Best, has disputed my
explantion.

If the more than one hundred responses seems exaggerated please take a look at
the hit count on my web page. At this time the hit count reads 19,927, and I've
had NO responses disputing any of the material presented there.

So who do you want to believe? Steve Best or me?

Walt, W2DU


Cecil Moore March 13th 04 09:53 PM

Richard Harrison wrote:
Cecil has argued that the high impedance at the open end of a shorted
1/4-wave stub does not inhibit current into the stub. The reflection
point is at the short, not at the high impedance point back 1/4-wave
from the short. That sounds reasonable to me, but I wonder if it makes
any difference.


Only to those who think the stub is a physical open-circuit at the
mouth of the stub and therefore, no current flows in the stub. :-)
--
73, Cecil http://www.qsl.net/w5dxp



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Walter Maxwell March 13th 04 10:08 PM

On Sat, 13 Mar 2004 15:53:34 -0600, Cecil Moore
wrote:

Richard Harrison wrote:
Cecil has argued that the high impedance at the open end of a shorted
1/4-wave stub does not inhibit current into the stub. The reflection
point is at the short, not at the high impedance point back 1/4-wave
from the short. That sounds reasonable to me, but I wonder if it makes
any difference.

Cecil wrote:
Only to those who think the stub is a physical open-circuit at the
mouth of the stub and therefore, no current flows in the stub. :-)


In a stub constructed of lossless material the only current that flows in the
stub is that required to bring it up to the steady statecondition.

In a practical stub with attenuation current flows into the stub continually,
but only that sufficient to compensate for the loss due to attenuation to retain
it's steady state condition.

Walt, W2DU

Cecil Moore March 13th 04 10:28 PM

Richard Harrison wrote:
I was wrong when I wrote waves would be exhibitable on demand were they
annhilated. Cecil was right. It makes no difference whether two equal
and opposite signals are received or no signal is received. Same result.


Which means that if two coherent waves flowing in the same direction are
completely cancelled, the E-fields and the H-fields in that direction are
also cancelled and therefore, zero energy propagates in that direction.

So the question remains: What happens to the energy in those two rearward-
traveling cancelled waves? Melles-Griot says the energy is not lost and
instead appears as enhanced intensity in the forward-traveling wave. From
rearward-traveling energy to forward-traveling energy certainly sounds
like a direction reversal to me.

"Enhanced Intensity" is another name for constructive interference and
in a matched system, it is "total constructive interference". "Complete
Wave Cancellation" is another name for "total destructive interference".

Bottom line: In a Z0-matched system, the reflected energy flows rearward
to the Z0-match point, changes direction at the Z0-match point (because of
interference), and joins the forward energy wave flowing toward the load.

Anyone got a better word than "re-reflected" to describe that event?
From looking at a diagram of laser light encountering a perfect 1/4WL
thin-film coating on glass, it is apparent that all the rearward-traveling
reflected irradiance (power) encounters a conjugate "mirror" and joins the
forward-traveling energy wave.
--
73, Cecil http://www.qsl.net/w5dxp



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Cecil Moore March 13th 04 10:58 PM

Walter Maxwell wrote:
In a stub constructed of lossless material the only current that flows in the
stub is that required to bring it up to the steady statecondition.

In a practical stub with attenuation current flows into the stub continually,
but only that sufficient to compensate for the loss due to attenuation to retain
it's steady state condition.


All that is true for *NET* current, Walt. But a full magnitude of forward and
reflected current is flowing in and out of the mouth of the stub. All of the
reflections in a stub occur at the shorted end. What happens at the mouth of
the stub is superposition and interference, not reflection. The forward and
reflected voltages superpose (in phase) to a high net value and the forward
and reflected currents superpose (out of phase) to a low net value.

(|Vfwd|+|Vref|)/(|Ifwd|-|Iref|) = very high V/I ratio = very high impedance,
but that high impedance is an effect and not the cause of anything (except
arguments on r.r.a.a :-)

Inside the stub, Vfwd/Ifwd = Z0 and Vref/Iref = Z0

Anyone can prove this to himself. Install a wattmeter 1/8WL down into the 1/4WL
shorted stub. One will read high forward power and high reflected power. From
those powers, one can actually calculate the forward and reflected voltages
and currents at that halfway point within the stub given that halfway point
is equal to 45 degrees.
--
73, Cecil http://www.qsl.net/w5dxp



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