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Owen Duffy wrote:
"Jeff" wrote in e.com: If you used a TDR, for example, to look at the set-up you would see 2 points of discontinuity, firstly at the 100 ohm source to 50 ohm cable interface, and secondly at the cable to 200 ohm load. BOTH of these discontinuities add to the overall mismatch as seen by the 100 ohm load. Your TDR does not work in the steady state frequency domain space, and is misleading you. In the steady state, the (complex) ratio of forward voltage to reflected voltage is determined solely by the load impedance and characteristic impedance of the line. In crude terms, during establishement of steady state, you can view that a load end reflected wave which is then partially reflected at a mismatched source end, will reach the load end and be reflected in the same ratio as the earlier passes. The subsequent round trips as steady state is approached do not change the (complex) ratio of forward voltage to reflected voltage in the steady state. I know you have support here for the assertion that source end mismatch affects VSWR in the steady state, but you won't find it in reputable text books. Owen and Cecil are right: the source (transmitter) has no effect whatever on the VSWR on the line. That isn't just an assertion - it is part of the bedrock transmission line theory. Owen referred to "reputable textbooks", one of which would surely be 'Theory and Problems of Transmission Lines' by R A Chipman [1]. This book gains a lot of its reputation from its very complete mathematical development of the theory, showing all the detailed working. Chipman treats standing wave patterns in two different ways: first by assuming the final steady-state conditions, and then in much more detail by considering multiple reflections between the load and the source. Given a sufficient number of reflections, the multiple-reflection model converges on exactly the same results as the steady-state analysis - just as it does in the physical world. VSWR on the line is determined by the ratio |Vmax|/|Vmin|. The complex impedance that the source sees at the input terminals of the line is the ratio V/I at that point (where V and I are both vector quantities which include phase information). An alternative way of calculating either VSWR or Zin is through the ratio Vforward/Vreflected (again vector quantities). All of these approaches are alternative pathways through the same body of theory. They are all consistent with one another, and there is no contradiction between any of them. You will notice that all these standing wave relationships involve ratios. Chipman's detailed analysis confirms that these ratios are determined EXCLUSIVELY by the properties of the line and the load - never the source. The source properties do determine the magnitudes of all of the individual voltages and currents - but when you change the source properties (output voltage and/or impedance) all the individual voltages and currents on the line and at the load are changed by the same factor. So when you take the ratio, the source properties cancel right out again. All this confirms that, if you sweat out the math in all the different levels of detail that Chipman did, the source (transmitter) still has no effect whatever on the VSWR on the line. [1] Out of print, but well worth searching for: ISBN 0-07-010747-5. The web bookstores currently have eight copies on offer, at a range of prices. -- 73 from Ian GM3SEK |
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