From www.ivorcatt.com/2632.htm
Go to http://www.gibsonridgesoftware.com/physics/two_turn_inductor/tti_derivation.htm
. Print it out. This gives definitions of the symbols, e.g. Zc . Now the various waveforms can be investigated more thoroughly. Caveat. You need the theory on crosstalk, see http://www.ivorcatt.com/4_1.htm http://www.ivorcatt.com/4_2.htm http://www.ivorcatt.com/4_3.htm |
Further explanation.
This explanation refers to the diagrams at http://www.gibsonridgesoftware.com/physics/two_turn_inductor/tti_derivation.htm
.
[You can think of the step as being delivered by a battery with a 50 ohm resistor in series. However, it is better to think of the step as being delivered down a perfect (= lossless), extremely long 50 ohm coaxial cable.] This very long coax is
described as “Cable” in http://www.gibsonridgesoftware.com/physics/two_turn_inductor/tti_derivation.htm
.… When the step reaches the circuit, it would break up into two steps if the circuit were a single turn inductor. This is discussed at http://www.ivorcatt.com/6_5.htm and further at http://www.ivorcatt.com/4_5.htm These two steps would be the reflected signal and the forward signal. Their amplitudes are given at Figure 11, see http://www.ivorcatt.com/1_4.htm , repeated at Figure 55, see http://www.ivorcatt.com/4_5.htm Our case is more complex. In around 1964, while researching into crosstalk in digital systems, I discovered the two modes, the Even Mode and the Odd Mode. When the step
reaches the circuit, either Two-Turn inductor or Single Turn Transformer, it
breaks up into three steps, see http://www.gibsonridgesoftware.com/physics/two_turn_inductor/tti_derivation.htm This is discussed in http://www.ivorcatt.com/4_2.htm in the
following way; It is not possible for a
current voltage step to travel forward between A and B and leave P and Q
unaffected. Two fundamental TEM modes can exist in such a four wire system.
One mode is called the Even coupled-strip Mode (EM), because the voltage
between A and B is the same as the voltage between P and Q, and A and P carry
the same current in the same direction. The other mode is called the Odd
coupled-strip Mode (OM), because the signal travelling forward between P and
Q is the opposite of that between A and B, so that A and P carry equal currents
in opposite directions. In either case, it is as though pairs of conductors
A, P, B, Q are shorted together at the front end ABQP, as shown in http://www.ivorcatt.com/4_1.htm , see Figures
39 and 40. Ivor Catt 15sep02 |
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