The second advance in March 2010.

 

Further comment on

Ivor Catt; "Crosstalk (Noise) in Digital Systems" , pub. IEEE Trans. Comput., vol. EC-16, no. 16, December 1967

 

 

Here is an interesting cameo. Figures 35 and 36 shows what happens to the even and odd mode when the front end of the passive line is shorted to ground. This means that at the start, the signal on the passive line must have zero voltage, as we see. The two modes, even and odd, are forced to have the same (equal and opposite) voltage. Further down the line, travelling at different velocities, they separate out, and are equal.

The Nature of Space (The first March 2010 advance.)

 

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The Transformer

That is not the end of the significance of Figures 35 and 36 . When the passive line is shorted to ground, or to its mirror, as in Figures 35 and 36 , the situation at the third trace is the same as that for a one turn transformer at the point where the wires to the primary are connected. See the second figure ; “Single Turn Transformer”. The active line is the primary, and the shorted passive line is the secondary. Here we get an indication of the way in which, under “Faraday’s discovery of electromagnetic induction”, energy current transfers from the transformer primary to the transformer secondary. Note that in the third trace of Figure 36, where there is a short, there is, as we expect, no sign of any energy within the secondary, or passive line. However, further on, in the second and first traces, because of their different velocities, we see the two quantities of energy separating out and no longer hiding each other.

 

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Crosstalk (Noise) in Digital Systems

Pages 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , some of which is in two of my books. The argument starts at page 30 of one book , and at page 4 of the other book , continuing on page 55 . Here in figure 9.2 we see “a very narrow pulse introduced at the front end of the active line. If there were no parallel passive line nearby, this pulse would travel down the active line (at the speed of light for the dielectric) more or less unchanged,” in a TEM mode. “However, as the other two traces show, the presence of the passive line caused the original narrow pulse to break up into two similar pulses.”