6 May 2018

 Professor Alex Yakovlev FIEEE,

May 6

 to me, Anthony, gian-luca, Christopher

Dear All,

I have now produced a graphical interpretation of Wakefield 3 experiment in terms of "Catt's travelling pulses". The picture is attached.

It's better to see this picture together with the one I sent yesterday.

According to my understanding of the Catt theory, in every point of the TL we always have a superposition of two energy current levels, called  "travelling pulses" by Ivor. One is travelling left and the other is travelling right. The length of such pulses is always 2T (twice the length of the TL). The height of the pulse is always 4V. When a pulse faces LHS (open circuit) it is reflected with coefficient +1 (basically duplicated), when a pulse faces RHS (short circuit) it is reflected with coefficient -1 (basically inverted).

My understanding of the Catt theory in relation to its explanation of the waveforms of signals in TL is that Catt theory takes such travelling pulses as a basis of elementary blocks and each waveform is a superposition of these blocks. According to Catt theory this is the most natural (Occam's Razor principle) way of seeing the world of pulse-switching behaviour, as the only postulate we have is that in every point in space we have energy current travelling with light velocity. Pulses are shaped in duration by length in geometry of the medium and conducting plates, and in amplitude they are determined by batteries and the state of terminal points (opens, shorts).

Conventional TL theory, in order to explain these behaviours, requires to introduce telegraph equations, with concepts of voltage and current etc, and according to Ivor is more convoluted and divorced from reality.

I could also extrapolate my understanding of the ramifications of Catt theory with regards to explaining electromagnetic circuits. Catt theory proposes to use travelling pulses as a basis for representing complex waveforms. In linear systems, people widely used harmonics as such basis.

Catt theory's pulses are linked to events, and events have cause-effect relationships in the points in space where signals are reflected. This works most effectively in time-domain.

Harmonic analysis, to the contrary, is not based on events and causality, it is based on the standing waves and hence operates most efficiently in frequency domain.

Kind regards,

Alex