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By C. W. Davidson
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Additional resources for Transmission Lines for Communications: with CAD programs
Of course there is a corresponding output generated by a backward-travelling wave on the primary line, but this can be absorbed by a matched termination at one end of the secondary line. 3. 25 Modified reflection diagram for line 2; end A open-circuit, end B matched. 25; x = 2 ns/div. 27 Coupled-line arrangement for a dual-directional coupler (reproduced with the permission of Hewlett-Packard Ltd) References 1. D. B. E. , 12 (1963) p. 476. 2. I. E. Trans. , 16 (1967) p. 743. 28. 29. Determine the value for R that makes the reflection coefficient at the junction zero.
At the input the current is+ Vj2Z 0 from t = 0 to t = 2 T. 25) where I is the length of the line. In this state there is no energy stored in the line inductance since the line current is zero. 26) J since (LC)I = T. 24 shows that in this case ( Rg = Z 0 ) half of the energy supplied by the battery is stored in the line, while the remainder is dissipated in the internal resistance of the battery ( Rg). 2 Effect of the Input Waveform When the reflection diagram has been constructed as outlined in the previous section it can be used to determine the voltage waveforms for any form of input signal.
_j __ ;J~ ! 11. Horizontal scale 5 ns/div. Transit time for each section of line T = 5 ns. 4 Load-line Construction for Non-linear Terminations The reflection diagram enables us to find the voltage and current waveforms at any point on a transmission line forming an interconnection between two parts of a linear system; that is, one for which the terminating impedances are independent of signal amplitude. However, it is not suitable for the study of interconnections between non-linear generator and load impedances, such as those provided by some transistor pulse and logic circuits.