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Ian White GM3SEK wrote:
Agreed. It all comes back to "usefulness" or "utility" again. As I said, concepts are only useful if they help us to think more clearly about physical reality - and "virtual reflection coefficient" has exactly the opposite effect. Also, please note that in an S-Parameter analysis, all reflection coefficients are physical, not virtual. Since I may have used the term first here, let me explain what I meant by it. a1, b1, a2, and b2 are the S-Parameter normalized voltages. Below, a1=10, b1=0, b2=14.14, and a2=10. s11 is the physical reflection coefficient encountered by forward wave a1. s11 is (291.4-50)/(291.4+50) = 0.707. In an S-Parameter, the reflection coefficient is NOT the ratio of b1/a1. a1-- b2-- --b1 --a2 100w---50 ohm line---+---1/2WL 291.4 ohm line---50 ohm load Vfor1=100V-- Vfor2=241.4V-- --Vref1=0V --Vref2=170.7V Given the actual voltages, someone might say the reflection coefficient is Vref1/Vfor1 = 0. That is a virtual reflection coefficient. The physical reflection coefficient at point '+' remains at 0.707. Vfor1 sees a virtual impedance of 50 ohms at point '+' during steady-state because of the wave cancellation that results in a net Vref1=0. But the physical reflection coefficient doesn't change from power-up through steady-state. One has to be careful to specify whether the physical rho, (Z02-Z01)/(Z02+Z01), is being used or whether the virtual rho, Vref1/Vfor1, is being used. One advantage of an S- Parameter analysis is that virtual reflection coefficients are not used and all reflection coefficients are physical. -- 73, Cecil http://www.w5dxp.com |
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