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On Jun 6, 5:27*pm, walt wrote:
On Jun 6, 4:55*pm, Jeff Liebermann wrote: On Sun, 6 Jun 2010 11:01:20 -0700 (PDT), K1TTT wrote: as in the other thread, what is the mechanism of that 'interaction' between waves? *i contend there can be no 'interaction' between forward and reflected waves if the device is linear. *so in an ideal case of a voltage or current source and ideal source resistance there is no interaction, it is reflected by and/or absorbed in the source depending on the impedance of the line and source. * There is no mixing as in multiplication of waveforms. *Perhaps I can offer a simple analogy. *Instead of two AC waveforms (forward and reflected), use a DC equivalent. *Start with two DIFFERENT batteries. Connect the two negative ends together and declare that to be ground. Connect a resistor between the positive terminals. *The two voltages most certainly "interact" across the resistor, resulting in the current and power being proportional to the difference between the two battery voltages. *Nothing in this crude example is non-linear, so there's no need for mixing in order to get interaction. Similarly, the coax cable acts much in the same way. *The two batteries are replaced by the incident and reflected signals. *At any time, or position on the transmission line, the model can be frozen and the instantaneous voltages and currents be calculated. * if the source is not linear then you would have to calculate the effect of the sum of the voltages or currents at the source to determine the effect. If the source (or load) is non-linear, then the waveforms seen on the transmission line will be distorted. *This is unlikely because we usually don't install diodes in antennas, or build HF amplifiers with substantial non-linearities (i.e. distortion). -- Jeff Liebermann * * 150 Felker St #D * *http://www.LearnByDestroying.com Santa Cruz CA 95060http://802.11junk.com Skype: JeffLiebermann * * AE6KS * *831-336-2558 Looks like I should step in here, as the answer to this question is the main theme in the book Reflections--Transmission Lines and Antennas, the first edition published in 1990, the second in 2001, and the third in just this past month of May, released at Dayton. The notion that ANY reflected power enters the source, such as an RF power amp using tubes and a pi-network, is FALSE!!! The output source resistance of these amps is non-dissipative, and totally re-reflects all reflected power from a mismatched antenna. The same is true when using an antenna tuner. When correctly adjusted the antenna tuner totally reflects all reflected power, resulting in a conjugate match at the antenna-coax mismatch, canceling all reactances in the system to zero, thus tuning the non-resonant antenna to resonance. This action if fundamental, and has been a misunderstood myth for centuries. For proof of the above statements I invite you to read Chapter 23 of Reflections, which you can find on my web page atwww.w2du.com. Click on 'Read Chapters from Reflections 2' and then click on Chapter 23. In addition, Chapter 19 gives more insight, and the addition to Chapter 19 can be found by clicking on 'Preview Chapters from Reflections 3'. The addition shows measured data proving that the output source impedance of the RF amp is the conjugate of the complex load impedance when the pi-network is adjusted to deliver all the available power at a given level of grid drive. Furthermore, a completely revised edition of Chapter 23 and the total Chapter 19 appear in Reflections 3, which is now available from CQ Magazine. Walt Maxwell, W2DU Forgot to mention that the output of the RF power amp is LINEAR, even though the input is non-linear. The reason is that the the pi-network tank circuit is not only an impedance transformer, it's an energy- storage device that isolates the output from the input. The linearity of the output is indicated by the sinusoidal shape of the output wave, and that the voltage and current are in phase when the load impedance is resistive. Walt, W2DU |
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