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Old April 11th 07, 02:02 AM posted to rec.radio.amateur.antenna
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Default Why S - Parameter at High frequencies?

Owen Duffy wrote:
So, what you are referring to with the term "virtual reflection
coefficient" is the magnitude the reflection coefficient (rho). or |(Z02-
Z01)/(Z02+Z01)| (Gamma).


I believe the following web page is indicative of
how Gamma has essentially been replaced by rho.

http://www.ac6la.com/stss.html

The ARRL Antenna Book implies that rho is used
by amateur radio operators while Gamma is still
used in some professional circles.
--
73, Cecil http://www.w5dxp.com
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Old April 12th 07, 02:39 PM posted to rec.radio.amateur.antenna
Wes Wes is offline
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Default Why S - Parameter at High frequencies?



The ARRL Antenna Book implies that rho is used
by amateur radio operators while Gamma is still
used in some professional circles.
--


As far as I'm concerned, Gamma is the complex reflection coefficient;
rho is its magnitude.


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Old April 12th 07, 02:54 PM posted to rec.radio.amateur.antenna
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Default Why S - Parameter at High frequencies?

Wes wrote:
The ARRL Antenna Book implies that rho is used
by amateur radio operators while Gamma is still
used in some professional circles.


As far as I'm concerned, Gamma is the complex reflection coefficient;
rho is its magnitude.


That works as long as everyone else understands what you
are talking about. Here's a quote from:

http://www.ac6la.com/stss.html

"The SWR meter is only concerned with the magnitude of the
reflection coefficient, but rho is a complex quantity having
both a magnitude and angle. If rho were to be measured at
various points along a transmission line, the magnitude would
be fairly constant but the angle would change depending on
the electrical length of the line at the point of measurement."

And from the "ARRL Antenna Book":

"In some professional literature, Gamma is used in place of rho
to represent the reflection coefficient."

Wes, you must be a professional. :-)
--
73, Cecil http://www.w5dxp.com
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Old April 19th 07, 12:11 AM posted to rec.radio.amateur.antenna
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Default Why S - Parameter at High frequencies?

Cecil Moore wrote:

And from the "ARRL Antenna Book":

"In some professional literature, Gamma is used in place of rho
to represent the reflection coefficient."


I would say in *most* professional literature...
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Old April 19th 07, 04:23 AM posted to rec.radio.amateur.antenna
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Default Why S - Parameter at High frequencies?

Jim Lux wrote:
Cecil Moore wrote:
"In some professional literature, Gamma is used in place of rho
to represent the reflection coefficient."


I would say in *most* professional literature...


The above quote from the ARRL Antenna Book is from
the 1988 edition.
--
73, Cecil http://www.w5dxp.com


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Old April 19th 07, 04:48 PM posted to rec.radio.amateur.antenna
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Default Why S - Parameter at High frequencies?

Cecil Moore wrote:
Jim Lux wrote:

Cecil Moore wrote:

"In some professional literature, Gamma is used in place of rho
to represent the reflection coefficient."



I would say in *most* professional literature...



The above quote from the ARRL Antenna Book is from
the 1988 edition.


Hmm.. yes, well fashion does change in the professional literature over
time, and your citation is almost 20 years old. However, while cleaning
out a lab downstairs at work, I ran across a reprint of:
Kerns, David M., "Definitions of v,i, Z, Y, a, b, Gamma, and S", Proc.
IEEE, v55 n6, June 1967, pp892-900

no rhos to be found.

In another useful paper, Dybdal,R.B., Ott,R.H., "Coherent RF Error
Statistics", IEEE Trans MTT, vMTT-34,n12, Dec 86
(anyone doing precision measurements on RF systems with mismatches
should read this paper, if you want to get a handle on measurement
uncertainties..)
Gamma is used for the reflection coefficient, and rho is used for, of
all things, the phase of the reflection.

That's not to say that there's not a paper around from the 70s that uses
rho.. and certainly, if you go back to the 30s and 40s, one might find
rho (as a magnitude of the reflection coefficient) more commonly used,
reflecting (no pun intended) the use of instruments that didn't measure
phase. Precision phase measurement of reflections is a relatively
recent (last 30 years?) phenomena..

So, I'll revise and say in *most current* professional literature...

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Old April 12th 07, 06:25 PM posted to rec.radio.amateur.antenna
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Default Why S - Parameter at High frequencies?

On Apr 12, 6:39 am, "Wes" wrote:

As far as I'm concerned, Gamma is the complex reflection coefficient;
rho is its magnitude.


As far as I'm concerned, S11 = (Z-Zo)/(Z+Zo), and is commonly known as
the (port 1) reflection coefficient, and Zo = 50+j0 unless otherwise
specified -- and |S11| is the magnitude of that reflection
coefficient. If I see rho without a definition, I only have its
context to go by, and in some circles that's pretty weak and often
inaccurate. For other ports of a multiport network, of course, S22,
S33, and so forth serve.

Almost all I need to know about a TEM line can be expressed by the set
of 2-port S parameters versus frequency for the line. Normal coaxial
and open-wire lines come about as close as anything I work with to
being true linear systems. However, the two-port model covers only
the differential TEM propagation on the line, not the line versus
ground: it's not useful for analyzing the "antenna" currents on a
line. It also doesn't tell me whether lost power is lost to heating
or to radiation, and it doesn't tell me about radiation received by
the line. The S parameter set for the line can be referenced to 50
ohms (or any other useful impedance), independent of the impedance of
the line. With the S parameter set, I can determine power loss, power
transmission, images, ... all the usual things. Of course, it's not
the only way to characterize the line, but it's complete and accurate
to the extent the line really does behave linearly and that only the
TEM propagation is important. The line doesn't even have to be
uniform; it can be exponentially expanding, or have ripples in its
impedance. If the line isn't uniform, the S parameters won't be able
to tell you power dissipation versus distance along the line, but
they'll still give you net power dissipation under specified
conditions of excitation and load.

Cheers,
Tom


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Old April 12th 07, 09:02 PM posted to rec.radio.amateur.antenna
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Default Why S - Parameter at High frequencies?

"Wes" wrote in news:1176385196.714553.293960
@y5g2000hsa.googlegroups.com:



The ARRL Antenna Book implies that rho is used
by amateur radio operators while Gamma is still
used in some professional circles.
--


As far as I'm concerned, Gamma is the complex reflection coefficient;
rho is its magnitude.


Hi Wes,

My preferred usage is the same, and for the reason that Gamma and rho can
be written directly in html as the greek symbols, and in ascii text as
Gamma and rho. The notation that rho is the magnitude of the complex
reflection coefficient and that the complex reflection coefficient is
written as rho with a bar over it is not conveniently and consistently
expressed in a short notation in ascii only media.

If it is declared (as I did in my post) then the usage is fair. The
sidetrack onto "standard" notation was just another diversionary tactic
from YKW.

Owen

Glossary:
YKW - You Know Who
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Old April 12th 07, 10:04 PM posted to rec.radio.amateur.antenna
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Default Why S - Parameter at High frequencies?

This topic has been discussed in this newsgroup several times in the
past. In my posting of June 17, 2005 in the thread " Calculating VSWR
from rho and rho from VSWR" you'll find a summary of what I found in use
by authors of 16 different textbooks. As you'll see, if you look it up
at http://groups.google.com, there's no single standard usage.

Personally, my preference is the same as Wes' and Owen's - Gamma for
complex reflection coefficient, rho for its magnitude. But usage is so
varied that it's necessary to explicitly show what the symbols mean
unless it's obvious from the context.

Roy Lewallen, W7EL

Owen Duffy wrote:
"Wes" wrote in news:1176385196.714553.293960
@y5g2000hsa.googlegroups.com:

The ARRL Antenna Book implies that rho is used
by amateur radio operators while Gamma is still
used in some professional circles.
--

As far as I'm concerned, Gamma is the complex reflection coefficient;
rho is its magnitude.


Hi Wes,

My preferred usage is the same, and for the reason that Gamma and rho can
be written directly in html as the greek symbols, and in ascii text as
Gamma and rho. The notation that rho is the magnitude of the complex
reflection coefficient and that the complex reflection coefficient is
written as rho with a bar over it is not conveniently and consistently
expressed in a short notation in ascii only media.

If it is declared (as I did in my post) then the usage is fair. The
sidetrack onto "standard" notation was just another diversionary tactic
from YKW.

Owen

Glossary:
YKW - You Know Who

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Old April 13th 07, 02:45 PM posted to rec.radio.amateur.antenna
Wes Wes is offline
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Default Why S - Parameter at High frequencies?

On Apr 12, 2:04 pm, Roy Lewallen wrote:
This topic has been discussed in this newsgroup several times in the
past. In my posting of June 17, 2005 in the thread " Calculating VSWR
from rho and rho from VSWR" you'll find a summary of what I found in use
by authors of 16 different textbooks. As you'll see, if you look it up
athttp://groups.google.com, there's no single standard usage.

Personally, my preference is the same as Wes' and Owen's - Gamma for
complex reflection coefficient, rho for its magnitude. But usage is so
varied that it's necessary to explicitly show what the symbols mean
unless it's obvious from the context.


In my response in the thread "Question about reflection/transmission
coefficients", April 28, 2003 I had only 10 different references.






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