LinkBack Thread Tools Search this Thread Display Modes
Prev Previous Post   Next Post Next
  #11   Report Post  
Old August 29th 03, 10:11 PM
Dr. Slick
 
Posts: n/a
Default

"Tarmo Tammaru" wrote in message ...
Why didn't you do the gamma for a shorted line using your formula? I think
you settled on (Zl - Z0*)/(Zl + Zo). For Zl = 0 this comes to -Z0*/Z0,
which, for Zo having phase angle b equates to -1 at angle(-2b).


Agreed. This doesn't prove anything, does it?


This is in more detail of what ACF do:

1. Normalize the RC to (Zn -1)/(Zn +1)
2. Let's say we agree that for biggest magnitude, this has to be in the left
hand plane.
3. Draw a vector for Zn = a at -135 deg
4. Draw vectors for Zn - 1 and Zn +1. Note that these 3 vectors have the
same y coordinate.
5. You now can draw two triangles with the corners at 0, Zn, and Zn -1 for
one, and 0, Zn, and Zn+1 for the other.
6. Solve for Zn+/-1 in terms of "a"
7. By plane geometry the magnitude of, of Zn -1=
SQRT(1 + a^2 + aSQRT(2))
8. The magnitude of Zn +1 is
SQRT(1 + a^2 - aSQRT(2))
9. Square both sides of the equation, and gamma^2=
(1 + a^2 + aSQRT(2))/(1 + a^2 - aSQRT(2))
10 This equates to 1 + (2SQRT(2))/((a + 1/a) - SQRT(2))
11 |Gamma| max occurs when (a + 1/a) is a minimum, which is 2 at a=1.
12|Gamma| max is 1 + SQRT(2)

They anticipate people being concerned about |Gamma| 1 and later come up
with a formula for time average power. I don't know that looking at it is
going to give anybody any insight, but for this is what they end up with ( I
am typing CM for Gamma):

P= (1/2)Go|V+|^2e**(-2az)[1 - |CM|^2 +2(Bo/Go)Im(CM)]

Remember, z is distance from the load.

Tam/WB2TT



ok, you've done a nice job of copying the text you sent me.

They also mention that the normalized load impedance Zn=Zr/Zo does
NOT have the same angle as Zr because Zo is complex in the general
case.

"They anticipate people being concerned about |Gamma| 1 and later come up
with a formula for time average power."


Really? Could you tell us more about that? Could you email me
more pages, especially the one that has Eq. 5.2b?



Slick
 
Thread Tools Search this Thread
Search this Thread:

Advanced Search
Display Modes

Posting Rules

Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
A Subtle Detail of Reflection Coefficients (but important to know) Dr. Slick Antenna 199 September 12th 03 11:06 PM
Re-Normalizing the Smith Chart (Changing the SWR into the same load) Dr. Slick Antenna 98 August 30th 03 04:09 AM
Mother Nature's reflection coefficient... Peter O. Brackett Antenna 8 August 28th 03 07:17 AM


All times are GMT +1. The time now is 09:19 AM.

Powered by vBulletin® Copyright ©2000 - 2025, Jelsoft Enterprises Ltd.
Copyright ©2004-2025 RadioBanter.
The comments are property of their posters.
 

About Us

"It's about Radio"

 

Copyright © 2017