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Cecil,
You've set up a false dichotomy here. When I, and others, write "The electric field is the superposition of a forward and reverse traveling wave" maybe it would be better to say "The electric field has two terms, one that appears to be a forward traveling wave and one that appears to be a reverse traveling wave." or something like that. There's one electric field vector and one Poynting vector. Or there are two. The structure of the electric field and the structure of the real part of the Poynting vector both admit BOTH explanations of what's happening. You're not gonna get 300J in your one second line.... the stored energy flux in the line depends on the wavelength of the incident RF, and in retrospect, you might expect this from the fact that a misterminated line goes through cyclical impedance variations as you change its length (something that I know you're quite familiar with :-) ) I think the energy density per unit length in the line is proportional to the Poynting vector (or it's integral over the cable cross section, and the proportionality constant is the group velocity of the waves, I think) I left Jackson at work, so I'm not certain right now. What I am certain of is that you can't take the energy in the forward wave and add it to the energy of the reflected wave and get that there are 300J in a 1 second line carrying a 200W forward wave and a 100W reverse wave. Rather, there's a 100W net forward power flux and THAT will give you the energy contained in the part of the field that's actually moving from source to load. The energy contained in the reactive part has an integral that's going to cyclically vary with the length of the line, and sometimes goes through zero (kL or kL - phi equal to an integer multiple of Pi... or any integer multiple of a half wavelength, which happens to be the length of an impedance repeating line, eh?) Dan |
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