Re: Mode Questions ??? (fwd)

["Tesla list" <tesla@xxxxxxxxxx>]

---------- Forwarded message ----------
Date: Sun, 11 Nov 2007 15:35:38 -0300
From: Antonio Carlos M. de Queiroz <acmdq@xxxxxxxxxx>
To: Tesla list <tesla@xxxxxxxxxx>
Subject: Re: Mode Questions ??? (fwd)

Tesla list wrote:
> ---------- Forwarded message ----------
> Date: Tue, 6 Nov 2007 07:47:34 -0500
> From: David N. Van Doren <DNVanDoren@xxxxxxxxxxx>
> To: tesla@xxxxxxxxxx
> Subject: Mode Questions ???
>
> Can any body explain to me the significance of Mode and the Letters l,k,m.
> I've been doing a lot of reading on theory and keep seeing references to
> Modes and the letter l,k,m with numbers like 1:2:3: or 2:3:5 and hve no
> idea of what these are. I've been reading the papers by Antonio Carlos M.
> de Queiroz (great papers !!!) and he uses these all the time in his
> wrightings but I can't seem to find any thing that explains the basic
> concept of these modes and how they relate to coupled rsonate circuits???
>     
Its the ratio of the resonance frequencies of the system. A conventional
Tesla coil has two resonances, with a ratio k:l. A "magnifier" has three,
with the ratio k:l:m. The concept can be extended to higher-order networks.
The ratio determines the shapes of the  waveforms, the number of cycles
required for energy transfer, etc.
In a "solid state" coil, similar waveforms can be obtained with one of the
frequencies as the driving frequency.
A "double resonance Tesla coil" has modes of the type k:l:m, and the
optimum solution is to put the driving frequency between the two resonances
of the system ("l"), but an alternative solution exists too with the 
driving
frequency above the two resonances ("m"). Some people say that the driving
frequency shall be at one of the resonances. My studies show that this is
inefficient, because the input current grows excessively.

Antonio Carlos M. de Queiroz