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"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 |
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