Re: [TCML] CW magnifier

[Paul Nicholson <tcml88@xxxxxxxxxxx>]

The essential feature of a magnifier is that it exploits the
3/4 wave overtone of the resonator, combining it in phase with
the fundamental resonances to produce higher peak voltage
than would otherwise be achieved.  The aim is to tune the
resonances such that all the energy ends up momentarily
concentrated in the 3rd coil.

This has been thoroughly worked out by Antonio using a lumped
model, and examined by myself in terms of distributed behaviour
- the two descriptions being equivalent of course.

In a regular 2-coil, as the coupling is increased the amount
of 3/4 wave mode increases and if nothing is done to handle it,
problems occur.  The most direct way to handle it is to split
the resonator which leads to the magnifier arrangement.
Splitting allows the 3/4 wave mode to be tuned (not independently)
separately to the fundamentals by adjustment of 'transmission
line' capacitance.

The above applies to impulsive systems, as these naturally
excite the resonator across several resonant modes.

In a CW coil, the excitation is only at a fundamental mode
of the resonator so there is no overtone behaviour to worry
about or exploit.   In this case it may still be desirable to
split the resonator, but for other reasons, such as voltage
breakdown capability, ease of tuning and coupling, portability,
and so on.

One might consider multi-frequency CW excitation in order
to produce a CW magnifier but I don't think this idea has
been explored.
--
Paul Nicholson
--
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