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It's true in the case of transmission lines that there are standing
waves and reflections but, unfortunately, this concept has somehow come to dominate and confuse the concept of matching a tranmitter to an antenna -- a generator to a load. Like in many areas of science, mathematicians and scientists often find convenient ways to mathematically describe and predict physical phenomenon that hinders, even misleads, the understanding of how it actually works. If you leave out the complex part of impedences for the moment and think of 100 volt generator that has a 50 ohm internal impedance driving a 50 ohm load, current is 1 amp and the power dissipated by the load is 50 watts. There is also 50 watts dissipated by the generator's internal impedance, for a total of 100 watts dissipated by the entire system. Therefore, the "available" power for this generator is 50 watts. Maximum available I^2*R power only occurs when the load impedance is equal to the generator's characteristic impedance, 50 ohms (do the math). Any load impedance higher or lower, ALWAYS produces less "available" power. Herein lies one of the big problems with the "reflection" definition, conceptually. The generator (transmitter) is not a constant-power device. When a manufacturer says that it's XYZ transmitter produces 100 watts, it only produces (has available) 100 watts (after internal dissipation) into a 50 ohm load. Any other load *always* produces less available power, due to simple I^2*R laws. It has nothing to do with reflections or standing waves, although, mathmatically, reflection formulas accurately describe it. A couple of examples using a 100 volt constant voltage generator and an internal impedance (RG) of 50 ohms: 1) Load (RL) = 50 ohms. Current = 100 / (50 + 50) = 1 amp Power dissipated in RL (PL) = (1)^2*50 = 50 watts Power dissipated in RG (PG) = (1)^2*50 = 50 watts SWR = RL/RG = PL/PG = 1:1 2) Load (RL) = 100 ohms. Current = 100 / (50 + 100) = .667 amp Power dissipated in RL (PL) = (.667)^2*100 = 44.5 watts Power dissipated in RG (PG) = (.667)^2*50 = 22.25 watts SWR = RL/RG = PL/PG = 2:1 3) Load (RL) = 25 ohms. Current = 100 / (50 + 25) = 1.34 amp Power dissipated in RL (PL) = (1.34)^2*25 = 44.9 watts Power dissipated in RG (PG) = (1.34)^2*50 = 89.8 watts SWR = RG/RL = PG/PL = 2:1 Notice that the total power dissipated in all three examples is different. The transmitter is NOT a constant-power source, but it's also not a unlimited power source and has operational limits. Therefore, what is commonly called "reflected power" is power that never leaves the transmitter and is dissipated as heat by the transmitter's internal 50 ohm impedance (if the transmitter's design doesn't prematurely shut down first). Al "Henry Kolesnik" wrote in message ... I know that any power not dissipated by an antenna is reflected back to the transmitter. Then the transmitter "reflects" this reflection back to antenna, ad nauseum until its all gone. I also know that a short or an open is required to reflect power and I'm searching for which it is, an open or a short. I'm inclined to think it's a virtual open but I'm at a loss to understand that and I wonder if someone has a good explanation or analogy and some math wouldn't hurt. tnx Hank WD5JFR |
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